TSTP Solution File: SYN465+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN465+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 13:53:08 EDT 2022
% Result : Theorem 0.92s 1.08s
% Output : Proof 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN465+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:14:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.08 (* PROOF-FOUND *)
% 0.92/1.08 % SZS status Theorem
% 0.92/1.08 (* BEGIN-PROOF *)
% 0.92/1.08 % SZS output start Proof
% 0.92/1.08 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1))/\((~(c1_1 (a1)))/\(~(c2_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a4))/\((c2_1 (a4))/\(~(c1_1 (a4)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a5))/\((~(c0_1 (a5)))/\(~(c1_1 (a5)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a6))/\((c3_1 (a6))/\(~(c2_1 (a6)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a7))/\((c3_1 (a7))/\(~(c0_1 (a7)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a9)))/\((~(c1_1 (a9)))/\(~(c2_1 (a9)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a32))/\((c2_1 (a32))/\(~(c3_1 (a32)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a40)))/\((~(c2_1 (a40)))/\(~(c3_1 (a40)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a57)))/\((~(c1_1 (a57)))/\(~(c3_1 (a57)))))))/\(((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp28)\/(hskp0)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp0)\/(hskp9)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((hskp17)\/(hskp18)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp22)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((hskp17)\/(hskp6)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp28)\/(hskp26)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp17)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp28)\/(hskp7)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp28)\/(hskp9)))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp0)\/(hskp2)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp12)\/(hskp26)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp28)\/(hskp31)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2)))/\(((hskp31)\/((hskp12)\/(hskp24)))/\(((hskp7)\/((hskp30)\/(hskp26)))/\(((hskp3)\/((hskp2)\/(hskp13)))/\(((hskp3)\/((hskp27)\/(hskp26)))/\(((hskp12)\/((hskp6)\/(hskp27)))/\((hskp21)\/((hskp24)\/(hskp5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.92/1.08 Proof.
% 0.92/1.08 assert (zenon_L1_ : (~(hskp21)) -> (hskp21) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H1 zenon_H2.
% 0.92/1.08 exact (zenon_H1 zenon_H2).
% 0.92/1.08 (* end of lemma zenon_L1_ *)
% 0.92/1.08 assert (zenon_L2_ : (~(hskp24)) -> (hskp24) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H3 zenon_H4.
% 0.92/1.08 exact (zenon_H3 zenon_H4).
% 0.92/1.08 (* end of lemma zenon_L2_ *)
% 0.92/1.08 assert (zenon_L3_ : (~(hskp5)) -> (hskp5) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H5 zenon_H6.
% 0.92/1.08 exact (zenon_H5 zenon_H6).
% 0.92/1.08 (* end of lemma zenon_L3_ *)
% 0.92/1.08 assert (zenon_L4_ : ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp21)) -> (~(hskp24)) -> (~(hskp5)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 0.92/1.08 exact (zenon_H1 zenon_H2).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 0.92/1.08 exact (zenon_H3 zenon_H4).
% 0.92/1.08 exact (zenon_H5 zenon_H6).
% 0.92/1.08 (* end of lemma zenon_L4_ *)
% 0.92/1.08 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H9 zenon_Ha.
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 (* end of lemma zenon_L5_ *)
% 0.92/1.08 assert (zenon_L6_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He.
% 0.92/1.08 generalize (zenon_Hb (a52)). zenon_intro zenon_Hf.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.92/1.08 exact (zenon_Hc zenon_H12).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.92/1.08 exact (zenon_Hd zenon_H14).
% 0.92/1.08 exact (zenon_H13 zenon_He).
% 0.92/1.08 (* end of lemma zenon_L6_ *)
% 0.92/1.08 assert (zenon_L7_ : (~(hskp30)) -> (hskp30) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H15 zenon_H16.
% 0.92/1.08 exact (zenon_H15 zenon_H16).
% 0.92/1.08 (* end of lemma zenon_L7_ *)
% 0.92/1.08 assert (zenon_L8_ : (~(hskp11)) -> (hskp11) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H17 zenon_H18.
% 0.92/1.08 exact (zenon_H17 zenon_H18).
% 0.92/1.08 (* end of lemma zenon_L8_ *)
% 0.92/1.08 assert (zenon_L9_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp11)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ].
% 0.92/1.08 apply (zenon_L6_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ].
% 0.92/1.08 exact (zenon_H15 zenon_H16).
% 0.92/1.08 exact (zenon_H17 zenon_H18).
% 0.92/1.08 (* end of lemma zenon_L9_ *)
% 0.92/1.08 assert (zenon_L10_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e.
% 0.92/1.08 generalize (zenon_H1b (a20)). zenon_intro zenon_H1f.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H9 | zenon_intro zenon_H20 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.92/1.08 exact (zenon_H22 zenon_H1c).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.92/1.08 exact (zenon_H24 zenon_H1d).
% 0.92/1.08 exact (zenon_H23 zenon_H1e).
% 0.92/1.08 (* end of lemma zenon_L10_ *)
% 0.92/1.08 assert (zenon_L11_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> (c0_1 (a20)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H25 zenon_Ha zenon_H1b zenon_H1d zenon_H1e zenon_H26.
% 0.92/1.08 generalize (zenon_H25 (a20)). zenon_intro zenon_H27.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H9 | zenon_intro zenon_H28 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1c | zenon_intro zenon_H29 ].
% 0.92/1.08 apply (zenon_L10_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ].
% 0.92/1.08 exact (zenon_H2a zenon_H26).
% 0.92/1.08 exact (zenon_H23 zenon_H1e).
% 0.92/1.08 (* end of lemma zenon_L11_ *)
% 0.92/1.08 assert (zenon_L12_ : (~(hskp12)) -> (hskp12) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H2b zenon_H2c.
% 0.92/1.08 exact (zenon_H2b zenon_H2c).
% 0.92/1.08 (* end of lemma zenon_L12_ *)
% 0.92/1.08 assert (zenon_L13_ : (~(hskp2)) -> (hskp2) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H2d zenon_H2e.
% 0.92/1.08 exact (zenon_H2d zenon_H2e).
% 0.92/1.08 (* end of lemma zenon_L13_ *)
% 0.92/1.08 assert (zenon_L14_ : (~(hskp8)) -> (hskp8) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H2f zenon_H30.
% 0.92/1.08 exact (zenon_H2f zenon_H30).
% 0.92/1.08 (* end of lemma zenon_L14_ *)
% 0.92/1.08 assert (zenon_L15_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp2)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H31 zenon_H32 zenon_H2d zenon_H2b zenon_H33 zenon_H2f zenon_H1.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1b | zenon_intro zenon_H37 ].
% 0.92/1.08 apply (zenon_L11_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ].
% 0.92/1.08 exact (zenon_H2b zenon_H2c).
% 0.92/1.08 exact (zenon_H2d zenon_H2e).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.08 exact (zenon_H2f zenon_H30).
% 0.92/1.08 exact (zenon_H1 zenon_H2).
% 0.92/1.08 (* end of lemma zenon_L15_ *)
% 0.92/1.08 assert (zenon_L16_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H2b zenon_H2d zenon_H33 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.08 apply (zenon_L9_); trivial.
% 0.92/1.08 apply (zenon_L15_); trivial.
% 0.92/1.08 (* end of lemma zenon_L16_ *)
% 0.92/1.08 assert (zenon_L17_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.08 generalize (zenon_H39 (a39)). zenon_intro zenon_H3d.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.92/1.08 exact (zenon_H3a zenon_H40).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.92/1.08 exact (zenon_H3b zenon_H42).
% 0.92/1.08 exact (zenon_H41 zenon_H3c).
% 0.92/1.08 (* end of lemma zenon_L17_ *)
% 0.92/1.08 assert (zenon_L18_ : (~(hskp15)) -> (hskp15) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H43 zenon_H44.
% 0.92/1.08 exact (zenon_H43 zenon_H44).
% 0.92/1.08 (* end of lemma zenon_L18_ *)
% 0.92/1.08 assert (zenon_L19_ : (~(hskp16)) -> (hskp16) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H45 zenon_H46.
% 0.92/1.08 exact (zenon_H45 zenon_H46).
% 0.92/1.08 (* end of lemma zenon_L19_ *)
% 0.92/1.08 assert (zenon_L20_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp16)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H47 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H43 zenon_H45.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ].
% 0.92/1.08 apply (zenon_L17_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ].
% 0.92/1.08 exact (zenon_H43 zenon_H44).
% 0.92/1.08 exact (zenon_H45 zenon_H46).
% 0.92/1.08 (* end of lemma zenon_L20_ *)
% 0.92/1.08 assert (zenon_L21_ : ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp31)) -> (~(hskp12)) -> (~(hskp24)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H49 zenon_H4a zenon_H2b zenon_H3.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.92/1.08 exact (zenon_H4a zenon_H4c).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2c | zenon_intro zenon_H4 ].
% 0.92/1.08 exact (zenon_H2b zenon_H2c).
% 0.92/1.08 exact (zenon_H3 zenon_H4).
% 0.92/1.08 (* end of lemma zenon_L21_ *)
% 0.92/1.08 assert (zenon_L22_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c0_1 (a76)) -> (c1_1 (a76)) -> (c3_1 (a76)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H4d zenon_Ha zenon_H4e zenon_H4f zenon_H50.
% 0.92/1.08 generalize (zenon_H4d (a76)). zenon_intro zenon_H51.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H9 | zenon_intro zenon_H52 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.92/1.08 exact (zenon_H54 zenon_H4e).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.92/1.08 exact (zenon_H56 zenon_H4f).
% 0.92/1.08 exact (zenon_H55 zenon_H50).
% 0.92/1.08 (* end of lemma zenon_L22_ *)
% 0.92/1.08 assert (zenon_L23_ : (~(hskp14)) -> (hskp14) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H57 zenon_H58.
% 0.92/1.08 exact (zenon_H57 zenon_H58).
% 0.92/1.08 (* end of lemma zenon_L23_ *)
% 0.92/1.08 assert (zenon_L24_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H59 zenon_H5a zenon_H57 zenon_H3.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ].
% 0.92/1.08 apply (zenon_L22_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ].
% 0.92/1.08 exact (zenon_H57 zenon_H58).
% 0.92/1.08 exact (zenon_H3 zenon_H4).
% 0.92/1.08 (* end of lemma zenon_L24_ *)
% 0.92/1.08 assert (zenon_L25_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.08 apply (zenon_L21_); trivial.
% 0.92/1.08 apply (zenon_L24_); trivial.
% 0.92/1.08 (* end of lemma zenon_L25_ *)
% 0.92/1.08 assert (zenon_L26_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H5f zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.08 apply (zenon_L25_); trivial.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.08 apply (zenon_L16_); trivial.
% 0.92/1.08 (* end of lemma zenon_L26_ *)
% 0.92/1.08 assert (zenon_L27_ : (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H63 zenon_Ha zenon_H64 zenon_H65 zenon_H66.
% 0.92/1.08 generalize (zenon_H63 (a30)). zenon_intro zenon_H67.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H9 | zenon_intro zenon_H68 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 0.92/1.08 exact (zenon_H64 zenon_H6a).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.92/1.08 exact (zenon_H6c zenon_H65).
% 0.92/1.08 exact (zenon_H6b zenon_H66).
% 0.92/1.08 (* end of lemma zenon_L27_ *)
% 0.92/1.08 assert (zenon_L28_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp8)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H6d zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H2f.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 0.92/1.08 apply (zenon_L17_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.08 apply (zenon_L27_); trivial.
% 0.92/1.08 exact (zenon_H2f zenon_H30).
% 0.92/1.08 (* end of lemma zenon_L28_ *)
% 0.92/1.08 assert (zenon_L29_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.08 apply (zenon_L26_); trivial.
% 0.92/1.08 apply (zenon_L28_); trivial.
% 0.92/1.08 (* end of lemma zenon_L29_ *)
% 0.92/1.08 assert (zenon_L30_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77.
% 0.92/1.08 generalize (zenon_H73 (a29)). zenon_intro zenon_H78.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.92/1.08 exact (zenon_H74 zenon_H7b).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 0.92/1.08 generalize (zenon_H75 (a29)). zenon_intro zenon_H7e.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H9 | zenon_intro zenon_H7f ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.92/1.08 exact (zenon_H7d zenon_H81).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H7c ].
% 0.92/1.08 exact (zenon_H76 zenon_H82).
% 0.92/1.08 exact (zenon_H7c zenon_H77).
% 0.92/1.08 exact (zenon_H7c zenon_H77).
% 0.92/1.08 (* end of lemma zenon_L30_ *)
% 0.92/1.08 assert (zenon_L31_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H83 zenon_He zenon_Hd zenon_Hc zenon_H77 zenon_H76 zenon_H75 zenon_H74 zenon_Ha zenon_H5.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ].
% 0.92/1.08 apply (zenon_L6_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ].
% 0.92/1.08 apply (zenon_L30_); trivial.
% 0.92/1.08 exact (zenon_H5 zenon_H6).
% 0.92/1.08 (* end of lemma zenon_L31_ *)
% 0.92/1.08 assert (zenon_L32_ : (~(hskp7)) -> (hskp7) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H85 zenon_H86.
% 0.92/1.08 exact (zenon_H85 zenon_H86).
% 0.92/1.08 (* end of lemma zenon_L32_ *)
% 0.92/1.08 assert (zenon_L33_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H5f zenon_H87 zenon_H2f zenon_H85 zenon_H74 zenon_H76 zenon_H77 zenon_H5 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.08 apply (zenon_L25_); trivial.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ].
% 0.92/1.08 apply (zenon_L31_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ].
% 0.92/1.08 exact (zenon_H85 zenon_H86).
% 0.92/1.08 exact (zenon_H2f zenon_H30).
% 0.92/1.08 (* end of lemma zenon_L33_ *)
% 0.92/1.08 assert (zenon_L34_ : (~(hskp29)) -> (hskp29) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H89 zenon_H8a.
% 0.92/1.08 exact (zenon_H89 zenon_H8a).
% 0.92/1.08 (* end of lemma zenon_L34_ *)
% 0.92/1.08 assert (zenon_L35_ : (~(hskp19)) -> (hskp19) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H8b zenon_H8c.
% 0.92/1.08 exact (zenon_H8b zenon_H8c).
% 0.92/1.08 (* end of lemma zenon_L35_ *)
% 0.92/1.08 assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp29)) -> (~(hskp19)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H59 zenon_H8d zenon_H89 zenon_H8b.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4d | zenon_intro zenon_H8e ].
% 0.92/1.08 apply (zenon_L22_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8a | zenon_intro zenon_H8c ].
% 0.92/1.08 exact (zenon_H89 zenon_H8a).
% 0.92/1.08 exact (zenon_H8b zenon_H8c).
% 0.92/1.08 (* end of lemma zenon_L36_ *)
% 0.92/1.08 assert (zenon_L37_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp29)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H5e zenon_H8d zenon_H8b zenon_H89 zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.08 apply (zenon_L21_); trivial.
% 0.92/1.08 apply (zenon_L36_); trivial.
% 0.92/1.08 (* end of lemma zenon_L37_ *)
% 0.92/1.08 assert (zenon_L38_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H1b zenon_Ha zenon_H8f zenon_H90 zenon_H91.
% 0.92/1.08 generalize (zenon_H1b (a8)). zenon_intro zenon_H92.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_H9 | zenon_intro zenon_H93 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ].
% 0.92/1.08 exact (zenon_H95 zenon_H8f).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ].
% 0.92/1.08 exact (zenon_H97 zenon_H90).
% 0.92/1.08 exact (zenon_H96 zenon_H91).
% 0.92/1.08 (* end of lemma zenon_L38_ *)
% 0.92/1.08 assert (zenon_L39_ : (~(hskp25)) -> (hskp25) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H98 zenon_H99.
% 0.92/1.08 exact (zenon_H98 zenon_H99).
% 0.92/1.08 (* end of lemma zenon_L39_ *)
% 0.92/1.08 assert (zenon_L40_ : (~(hskp9)) -> (hskp9) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H9a zenon_H9b.
% 0.92/1.08 exact (zenon_H9a zenon_H9b).
% 0.92/1.08 (* end of lemma zenon_L40_ *)
% 0.92/1.08 assert (zenon_L41_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H9c zenon_H9d zenon_H98 zenon_H9a.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1b | zenon_intro zenon_Ha0 ].
% 0.92/1.08 apply (zenon_L38_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ].
% 0.92/1.08 exact (zenon_H98 zenon_H99).
% 0.92/1.08 exact (zenon_H9a zenon_H9b).
% 0.92/1.08 (* end of lemma zenon_L41_ *)
% 0.92/1.08 assert (zenon_L42_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Ha1 zenon_H9d zenon_H9a zenon_H98 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.08 apply (zenon_L37_); trivial.
% 0.92/1.08 apply (zenon_L41_); trivial.
% 0.92/1.08 (* end of lemma zenon_L42_ *)
% 0.92/1.08 assert (zenon_L43_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H25 zenon_Ha zenon_Ha2 zenon_Ha3 zenon_Ha4.
% 0.92/1.08 generalize (zenon_H25 (a54)). zenon_intro zenon_Ha5.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha6 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 0.92/1.08 exact (zenon_Ha2 zenon_Ha8).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ].
% 0.92/1.08 exact (zenon_Haa zenon_Ha3).
% 0.92/1.08 exact (zenon_Ha9 zenon_Ha4).
% 0.92/1.08 (* end of lemma zenon_L43_ *)
% 0.92/1.08 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hab zenon_H32 zenon_H2f zenon_H1.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.08 apply (zenon_L43_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.08 exact (zenon_H2f zenon_H30).
% 0.92/1.08 exact (zenon_H1 zenon_H2).
% 0.92/1.08 (* end of lemma zenon_L44_ *)
% 0.92/1.08 assert (zenon_L45_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H3 zenon_H49 zenon_H9a zenon_H9d zenon_Ha1.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.08 apply (zenon_L42_); trivial.
% 0.92/1.08 apply (zenon_L44_); trivial.
% 0.92/1.08 (* end of lemma zenon_L45_ *)
% 0.92/1.08 assert (zenon_L46_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Haf zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.08 generalize (zenon_Haf (a20)). zenon_intro zenon_Hb0.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb1 ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H2a | zenon_intro zenon_H21 ].
% 0.92/1.08 exact (zenon_H2a zenon_H26).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.92/1.08 exact (zenon_H24 zenon_H1d).
% 0.92/1.08 exact (zenon_H23 zenon_H1e).
% 0.92/1.08 (* end of lemma zenon_L46_ *)
% 0.92/1.08 assert (zenon_L47_ : (~(hskp13)) -> (hskp13) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hb2 zenon_Hb3.
% 0.92/1.08 exact (zenon_Hb2 zenon_Hb3).
% 0.92/1.08 (* end of lemma zenon_L47_ *)
% 0.92/1.08 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp15)) -> (~(hskp13)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H31 zenon_Hb4 zenon_H43 zenon_Hb2.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 0.92/1.08 apply (zenon_L46_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H44 | zenon_intro zenon_Hb3 ].
% 0.92/1.08 exact (zenon_H43 zenon_H44).
% 0.92/1.08 exact (zenon_Hb2 zenon_Hb3).
% 0.92/1.08 (* end of lemma zenon_L48_ *)
% 0.92/1.08 assert (zenon_L49_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H60 zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.08 apply (zenon_L9_); trivial.
% 0.92/1.08 apply (zenon_L48_); trivial.
% 0.92/1.08 (* end of lemma zenon_L49_ *)
% 0.92/1.08 assert (zenon_L50_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> (~(hskp16)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H6d zenon_H47 zenon_H43 zenon_H45.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.08 apply (zenon_L20_); trivial.
% 0.92/1.08 (* end of lemma zenon_L50_ *)
% 0.92/1.08 assert (zenon_L51_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38 zenon_H5f.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.08 apply (zenon_L45_); trivial.
% 0.92/1.08 apply (zenon_L49_); trivial.
% 0.92/1.08 apply (zenon_L50_); trivial.
% 0.92/1.08 (* end of lemma zenon_L51_ *)
% 0.92/1.08 assert (zenon_L52_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_Hb7 zenon_Hb8 zenon_Hb9.
% 0.92/1.08 generalize (zenon_Hb6 (a35)). zenon_intro zenon_Hba.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbb ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ].
% 0.92/1.08 exact (zenon_Hb7 zenon_Hbd).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 0.92/1.08 exact (zenon_Hb8 zenon_Hbf).
% 0.92/1.08 exact (zenon_Hbe zenon_Hb9).
% 0.92/1.08 (* end of lemma zenon_L52_ *)
% 0.92/1.08 assert (zenon_L53_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hc0 zenon_H2b zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ].
% 0.92/1.08 apply (zenon_L52_); trivial.
% 0.92/1.08 exact (zenon_H2b zenon_H2c).
% 0.92/1.08 (* end of lemma zenon_L53_ *)
% 0.92/1.08 assert (zenon_L54_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hc1 zenon_Hc0 zenon_H2b.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.08 apply (zenon_L53_); trivial.
% 0.92/1.08 (* end of lemma zenon_L54_ *)
% 0.92/1.08 assert (zenon_L55_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H45 zenon_H47 zenon_H72.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.08 apply (zenon_L51_); trivial.
% 0.92/1.08 apply (zenon_L54_); trivial.
% 0.92/1.08 (* end of lemma zenon_L55_ *)
% 0.92/1.08 assert (zenon_L56_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hc5 zenon_Ha zenon_Hc6 zenon_Hc7 zenon_Hc8.
% 0.92/1.08 generalize (zenon_Hc5 (a28)). zenon_intro zenon_Hc9.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hca ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ].
% 0.92/1.08 exact (zenon_Hc6 zenon_Hcc).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ].
% 0.92/1.08 exact (zenon_Hce zenon_Hc7).
% 0.92/1.08 exact (zenon_Hcd zenon_Hc8).
% 0.92/1.08 (* end of lemma zenon_L56_ *)
% 0.92/1.08 assert (zenon_L57_ : (~(hskp20)) -> (hskp20) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hcf zenon_Hd0.
% 0.92/1.08 exact (zenon_Hcf zenon_Hd0).
% 0.92/1.08 (* end of lemma zenon_L57_ *)
% 0.92/1.08 assert (zenon_L58_ : (~(hskp4)) -> (hskp4) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hd1 zenon_Hd2.
% 0.92/1.08 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.08 (* end of lemma zenon_L58_ *)
% 0.92/1.08 assert (zenon_L59_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp4)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hd3 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_Hcf zenon_Hd1.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd4 ].
% 0.92/1.08 apply (zenon_L56_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ].
% 0.92/1.08 exact (zenon_Hcf zenon_Hd0).
% 0.92/1.08 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.08 (* end of lemma zenon_L59_ *)
% 0.92/1.08 assert (zenon_L60_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a36))) -> (c0_1 (a36)) -> (c1_1 (a36)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hd5 zenon_Ha zenon_Hd6 zenon_Hd7 zenon_Hd8.
% 0.92/1.08 generalize (zenon_Hd5 (a36)). zenon_intro zenon_Hd9.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hda ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 0.92/1.08 exact (zenon_Hd6 zenon_Hdc).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ].
% 0.92/1.08 exact (zenon_Hde zenon_Hd7).
% 0.92/1.08 exact (zenon_Hdd zenon_Hd8).
% 0.92/1.08 (* end of lemma zenon_L60_ *)
% 0.92/1.08 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hdf zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.08 apply (zenon_L27_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.08 apply (zenon_L60_); trivial.
% 0.92/1.08 exact (zenon_H43 zenon_H44).
% 0.92/1.08 (* end of lemma zenon_L61_ *)
% 0.92/1.08 assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.08 apply (zenon_L59_); trivial.
% 0.92/1.08 apply (zenon_L61_); trivial.
% 0.92/1.08 (* end of lemma zenon_L62_ *)
% 0.92/1.08 assert (zenon_L63_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_He8 zenon_Ha zenon_H76 zenon_H74 zenon_H77.
% 0.92/1.08 generalize (zenon_He8 (a29)). zenon_intro zenon_He9.
% 0.92/1.08 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hea ].
% 0.92/1.08 exact (zenon_H9 zenon_Ha).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H82 | zenon_intro zenon_Heb ].
% 0.92/1.08 exact (zenon_H76 zenon_H82).
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 0.92/1.08 exact (zenon_H74 zenon_H7b).
% 0.92/1.08 exact (zenon_H7c zenon_H77).
% 0.92/1.08 (* end of lemma zenon_L63_ *)
% 0.92/1.08 assert (zenon_L64_ : (~(hskp3)) -> (hskp3) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hec zenon_Hed.
% 0.92/1.08 exact (zenon_Hec zenon_Hed).
% 0.92/1.08 (* end of lemma zenon_L64_ *)
% 0.92/1.08 assert (zenon_L65_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp3)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hee zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H98 zenon_Hec.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ].
% 0.92/1.08 apply (zenon_L63_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ].
% 0.92/1.08 exact (zenon_H98 zenon_H99).
% 0.92/1.08 exact (zenon_Hec zenon_Hed).
% 0.92/1.08 (* end of lemma zenon_L65_ *)
% 0.92/1.08 assert (zenon_L66_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Ha zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.08 apply (zenon_L65_); trivial.
% 0.92/1.08 apply (zenon_L44_); trivial.
% 0.92/1.08 (* end of lemma zenon_L66_ *)
% 0.92/1.08 assert (zenon_L67_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp13)) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H6d zenon_Hf0 zenon_H77 zenon_H74 zenon_H76 zenon_Hb2.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf1 ].
% 0.92/1.08 apply (zenon_L17_); trivial.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He8 | zenon_intro zenon_Hb3 ].
% 0.92/1.08 apply (zenon_L63_); trivial.
% 0.92/1.08 exact (zenon_Hb2 zenon_Hb3).
% 0.92/1.08 (* end of lemma zenon_L67_ *)
% 0.92/1.08 assert (zenon_L68_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.08 apply (zenon_L66_); trivial.
% 0.92/1.08 apply (zenon_L67_); trivial.
% 0.92/1.08 (* end of lemma zenon_L68_ *)
% 0.92/1.08 assert (zenon_L69_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.08 apply (zenon_L55_); trivial.
% 0.92/1.08 apply (zenon_L62_); trivial.
% 0.92/1.08 apply (zenon_L68_); trivial.
% 0.92/1.08 (* end of lemma zenon_L69_ *)
% 0.92/1.08 assert (zenon_L70_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f.
% 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.08 apply (zenon_L26_); trivial.
% 0.92/1.08 apply (zenon_L50_); trivial.
% 0.92/1.08 (* end of lemma zenon_L70_ *)
% 0.92/1.08 assert (zenon_L71_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L70_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_L29_); trivial.
% 0.92/1.09 (* end of lemma zenon_L71_ *)
% 0.92/1.09 assert (zenon_L72_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H87 zenon_H2f zenon_H85 zenon_H5 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_L33_); trivial.
% 0.92/1.09 (* end of lemma zenon_L72_ *)
% 0.92/1.09 assert (zenon_L73_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H85 zenon_H5 zenon_H83 zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L71_); trivial.
% 0.92/1.09 apply (zenon_L72_); trivial.
% 0.92/1.09 (* end of lemma zenon_L73_ *)
% 0.92/1.09 assert (zenon_L74_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a26))) -> (~(c1_1 (a26))) -> (c3_1 (a26)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf7 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa.
% 0.92/1.09 generalize (zenon_Hf7 (a26)). zenon_intro zenon_Hfb.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ].
% 0.92/1.09 exact (zenon_Hf8 zenon_Hfe).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.92/1.09 exact (zenon_Hf9 zenon_H100).
% 0.92/1.09 exact (zenon_Hff zenon_Hfa).
% 0.92/1.09 (* end of lemma zenon_L74_ *)
% 0.92/1.09 assert (zenon_L75_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp3)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hdf zenon_H101 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hec.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H102 ].
% 0.92/1.09 apply (zenon_L74_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hed ].
% 0.92/1.09 apply (zenon_L60_); trivial.
% 0.92/1.09 exact (zenon_Hec zenon_Hed).
% 0.92/1.09 (* end of lemma zenon_L75_ *)
% 0.92/1.09 assert (zenon_L76_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H103 zenon_He5 zenon_H101 zenon_Hec zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd1 zenon_Hd3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.09 apply (zenon_L59_); trivial.
% 0.92/1.09 apply (zenon_L75_); trivial.
% 0.92/1.09 (* end of lemma zenon_L76_ *)
% 0.92/1.09 assert (zenon_L77_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H83 zenon_H5 zenon_H85 zenon_H87 zenon_Hf5.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.09 apply (zenon_L73_); trivial.
% 0.92/1.09 apply (zenon_L76_); trivial.
% 0.92/1.09 (* end of lemma zenon_L77_ *)
% 0.92/1.09 assert (zenon_L78_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H107 zenon_Ha zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.09 generalize (zenon_H107 (a24)). zenon_intro zenon_H10b.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H10b); [ zenon_intro zenon_H9 | zenon_intro zenon_H10c ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ].
% 0.92/1.09 exact (zenon_H108 zenon_H10e).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ].
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 exact (zenon_H10f zenon_H10a).
% 0.92/1.09 (* end of lemma zenon_L78_ *)
% 0.92/1.09 assert (zenon_L79_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H111 zenon_H45 zenon_H10a zenon_H109 zenon_H108 zenon_Ha.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H107 | zenon_intro zenon_H46 ].
% 0.92/1.09 apply (zenon_L78_); trivial.
% 0.92/1.09 exact (zenon_H45 zenon_H46).
% 0.92/1.09 (* end of lemma zenon_L79_ *)
% 0.92/1.09 assert (zenon_L80_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (~(c2_1 (a24))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H10a zenon_H109 zenon_H112 zenon_H108 zenon_Ha zenon_H43.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.09 apply (zenon_L27_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.09 generalize (zenon_Hd5 (a24)). zenon_intro zenon_H113.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H9 | zenon_intro zenon_H114 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10e | zenon_intro zenon_H115 ].
% 0.92/1.09 exact (zenon_H108 zenon_H10e).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H116 | zenon_intro zenon_H110 ].
% 0.92/1.09 generalize (zenon_H112 (a24)). zenon_intro zenon_H117.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H117); [ zenon_intro zenon_H9 | zenon_intro zenon_H118 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H119 | zenon_intro zenon_H10d ].
% 0.92/1.09 exact (zenon_H116 zenon_H119).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ].
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 exact (zenon_H10f zenon_H10a).
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 exact (zenon_H43 zenon_H44).
% 0.92/1.09 (* end of lemma zenon_L80_ *)
% 0.92/1.09 assert (zenon_L81_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp19)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H11a zenon_H43 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H17 zenon_H8b.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ].
% 0.92/1.09 apply (zenon_L80_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ].
% 0.92/1.09 exact (zenon_H17 zenon_H18).
% 0.92/1.09 exact (zenon_H8b zenon_H8c).
% 0.92/1.09 (* end of lemma zenon_L81_ *)
% 0.92/1.09 assert (zenon_L82_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H75 zenon_Ha zenon_H116 zenon_H108 zenon_H109.
% 0.92/1.09 generalize (zenon_H75 (a24)). zenon_intro zenon_H11c.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H119 | zenon_intro zenon_H11e ].
% 0.92/1.09 exact (zenon_H116 zenon_H119).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10e | zenon_intro zenon_H110 ].
% 0.92/1.09 exact (zenon_H108 zenon_H10e).
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 (* end of lemma zenon_L82_ *)
% 0.92/1.09 assert (zenon_L83_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c1_1 (a24)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a24))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H109 zenon_H75 zenon_H108 zenon_Ha zenon_H43.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.09 apply (zenon_L27_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.09 generalize (zenon_Hd5 (a24)). zenon_intro zenon_H113.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H9 | zenon_intro zenon_H114 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10e | zenon_intro zenon_H115 ].
% 0.92/1.09 exact (zenon_H108 zenon_H10e).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H116 | zenon_intro zenon_H110 ].
% 0.92/1.09 apply (zenon_L82_); trivial.
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 exact (zenon_H43 zenon_H44).
% 0.92/1.09 (* end of lemma zenon_L83_ *)
% 0.92/1.09 assert (zenon_L84_ : (~(hskp6)) -> (hskp6) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H11f zenon_H120.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L84_ *)
% 0.92/1.09 assert (zenon_L85_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hc1 zenon_H121 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H11f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L83_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L52_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L85_ *)
% 0.92/1.09 assert (zenon_L86_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H43 zenon_H17 zenon_H11a zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L79_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.09 apply (zenon_L81_); trivial.
% 0.92/1.09 apply (zenon_L85_); trivial.
% 0.92/1.09 (* end of lemma zenon_L86_ *)
% 0.92/1.09 assert (zenon_L87_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_H123 zenon_H76 zenon_H77.
% 0.92/1.09 generalize (zenon_H73 (a29)). zenon_intro zenon_H78.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.92/1.09 exact (zenon_H74 zenon_H7b).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 0.92/1.09 generalize (zenon_H123 (a29)). zenon_intro zenon_H124.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H9 | zenon_intro zenon_H125 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H81 | zenon_intro zenon_H126 ].
% 0.92/1.09 exact (zenon_H7d zenon_H81).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_H7b ].
% 0.92/1.09 exact (zenon_H76 zenon_H82).
% 0.92/1.09 exact (zenon_H74 zenon_H7b).
% 0.92/1.09 exact (zenon_H7c zenon_H77).
% 0.92/1.09 (* end of lemma zenon_L87_ *)
% 0.92/1.09 assert (zenon_L88_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp29)) -> (~(hskp5)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H127 zenon_Ha zenon_H74 zenon_H76 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H83 zenon_H89 zenon_H5.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ].
% 0.92/1.09 apply (zenon_L87_); trivial.
% 0.92/1.09 exact (zenon_H5 zenon_H6).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ].
% 0.92/1.09 exact (zenon_H89 zenon_H8a).
% 0.92/1.09 exact (zenon_H5 zenon_H6).
% 0.92/1.09 (* end of lemma zenon_L88_ *)
% 0.92/1.09 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H77 zenon_H76 zenon_H74 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L4_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.09 apply (zenon_L88_); trivial.
% 0.92/1.09 apply (zenon_L41_); trivial.
% 0.92/1.09 apply (zenon_L44_); trivial.
% 0.92/1.09 apply (zenon_L28_); trivial.
% 0.92/1.09 (* end of lemma zenon_L89_ *)
% 0.92/1.09 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L79_); trivial.
% 0.92/1.09 apply (zenon_L89_); trivial.
% 0.92/1.09 (* end of lemma zenon_L90_ *)
% 0.92/1.09 assert (zenon_L91_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L86_); trivial.
% 0.92/1.09 apply (zenon_L90_); trivial.
% 0.92/1.09 (* end of lemma zenon_L91_ *)
% 0.92/1.09 assert (zenon_L92_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c1_1 (a21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He8 zenon_Ha zenon_H129 zenon_H12a zenon_H12b.
% 0.92/1.09 generalize (zenon_He8 (a21)). zenon_intro zenon_H12c.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_H9 | zenon_intro zenon_H12d ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ].
% 0.92/1.09 exact (zenon_H129 zenon_H12f).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ].
% 0.92/1.09 exact (zenon_H12a zenon_H131).
% 0.92/1.09 exact (zenon_H130 zenon_H12b).
% 0.92/1.09 (* end of lemma zenon_L92_ *)
% 0.92/1.09 assert (zenon_L93_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H132 zenon_Ha zenon_He8 zenon_H129 zenon_H12a zenon_H133.
% 0.92/1.09 generalize (zenon_H132 (a21)). zenon_intro zenon_H134.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H12b | zenon_intro zenon_H136 ].
% 0.92/1.09 apply (zenon_L92_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H131 | zenon_intro zenon_H137 ].
% 0.92/1.09 exact (zenon_H12a zenon_H131).
% 0.92/1.09 exact (zenon_H137 zenon_H133).
% 0.92/1.09 (* end of lemma zenon_L93_ *)
% 0.92/1.09 assert (zenon_L94_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H60 zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ].
% 0.92/1.09 apply (zenon_L93_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ].
% 0.92/1.09 exact (zenon_H98 zenon_H99).
% 0.92/1.09 exact (zenon_Hec zenon_Hed).
% 0.92/1.09 exact (zenon_H85 zenon_H86).
% 0.92/1.09 apply (zenon_L44_); trivial.
% 0.92/1.09 (* end of lemma zenon_L94_ *)
% 0.92/1.09 assert (zenon_L95_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L4_); trivial.
% 0.92/1.09 apply (zenon_L94_); trivial.
% 0.92/1.09 (* end of lemma zenon_L95_ *)
% 0.92/1.09 assert (zenon_L96_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_L95_); trivial.
% 0.92/1.09 apply (zenon_L50_); trivial.
% 0.92/1.09 (* end of lemma zenon_L96_ *)
% 0.92/1.09 assert (zenon_L97_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (c1_1 (a21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hd5 zenon_Ha zenon_H129 zenon_H133 zenon_H12b.
% 0.92/1.09 generalize (zenon_Hd5 (a21)). zenon_intro zenon_H13a.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H13a); [ zenon_intro zenon_H9 | zenon_intro zenon_H13b ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H12f | zenon_intro zenon_H13c ].
% 0.92/1.09 exact (zenon_H129 zenon_H12f).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H137 | zenon_intro zenon_H130 ].
% 0.92/1.09 exact (zenon_H137 zenon_H133).
% 0.92/1.09 exact (zenon_H130 zenon_H12b).
% 0.92/1.09 (* end of lemma zenon_L97_ *)
% 0.92/1.09 assert (zenon_L98_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H13d zenon_Ha zenon_Hd5 zenon_H129 zenon_H133 zenon_H12a.
% 0.92/1.09 generalize (zenon_H13d (a21)). zenon_intro zenon_H13e.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ].
% 0.92/1.09 apply (zenon_L97_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12f | zenon_intro zenon_H131 ].
% 0.92/1.09 exact (zenon_H129 zenon_H12f).
% 0.92/1.09 exact (zenon_H12a zenon_H131).
% 0.92/1.09 (* end of lemma zenon_L98_ *)
% 0.92/1.09 assert (zenon_L99_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp15)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H12a zenon_H133 zenon_H129 zenon_Ha zenon_H13d zenon_H43.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.09 apply (zenon_L27_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.09 apply (zenon_L98_); trivial.
% 0.92/1.09 exact (zenon_H43 zenon_H44).
% 0.92/1.09 (* end of lemma zenon_L99_ *)
% 0.92/1.09 assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H141 zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.09 apply (zenon_L99_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.09 apply (zenon_L27_); trivial.
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 (* end of lemma zenon_L100_ *)
% 0.92/1.09 assert (zenon_L101_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L96_); trivial.
% 0.92/1.09 apply (zenon_L100_); trivial.
% 0.92/1.09 (* end of lemma zenon_L101_ *)
% 0.92/1.09 assert (zenon_L102_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L101_); trivial.
% 0.92/1.09 apply (zenon_L72_); trivial.
% 0.92/1.09 (* end of lemma zenon_L102_ *)
% 0.92/1.09 assert (zenon_L103_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H142 zenon_Ha zenon_Hc6 zenon_H63 zenon_Hc7 zenon_Hc8.
% 0.92/1.09 generalize (zenon_H142 (a28)). zenon_intro zenon_H143.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_H9 | zenon_intro zenon_H144 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hcc | zenon_intro zenon_H145 ].
% 0.92/1.09 exact (zenon_Hc6 zenon_Hcc).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H146 | zenon_intro zenon_Hce ].
% 0.92/1.09 generalize (zenon_H63 (a28)). zenon_intro zenon_H147.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_H9 | zenon_intro zenon_H148 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H149 | zenon_intro zenon_Hcb ].
% 0.92/1.09 exact (zenon_H146 zenon_H149).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ].
% 0.92/1.09 exact (zenon_Hce zenon_Hc7).
% 0.92/1.09 exact (zenon_Hcd zenon_Hc8).
% 0.92/1.09 exact (zenon_Hce zenon_Hc7).
% 0.92/1.09 (* end of lemma zenon_L103_ *)
% 0.92/1.09 assert (zenon_L104_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (~(hskp7)) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H77 zenon_H76 zenon_H74 zenon_Ha zenon_H73 zenon_H85 zenon_H2f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ].
% 0.92/1.09 apply (zenon_L30_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ].
% 0.92/1.09 exact (zenon_H85 zenon_H86).
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 (* end of lemma zenon_L104_ *)
% 0.92/1.09 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp12)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H14a zenon_H77 zenon_H74 zenon_H76 zenon_H2b.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_He8 | zenon_intro zenon_H14b ].
% 0.92/1.09 apply (zenon_L63_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Haf | zenon_intro zenon_H2c ].
% 0.92/1.09 apply (zenon_L46_); trivial.
% 0.92/1.09 exact (zenon_H2b zenon_H2c).
% 0.92/1.09 (* end of lemma zenon_L105_ *)
% 0.92/1.09 assert (zenon_L106_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H6d zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H74 zenon_H76 zenon_H77 zenon_H85 zenon_H2f zenon_H87 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H6e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 0.92/1.09 apply (zenon_L17_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.09 apply (zenon_L103_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.09 apply (zenon_L104_); trivial.
% 0.92/1.09 exact (zenon_H15 zenon_H16).
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 apply (zenon_L105_); trivial.
% 0.92/1.09 (* end of lemma zenon_L106_ *)
% 0.92/1.09 assert (zenon_L107_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H2f zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L79_); trivial.
% 0.92/1.09 apply (zenon_L100_); trivial.
% 0.92/1.09 (* end of lemma zenon_L107_ *)
% 0.92/1.09 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H2f zenon_H141 zenon_Hf6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L107_); trivial.
% 0.92/1.09 apply (zenon_L90_); trivial.
% 0.92/1.09 (* end of lemma zenon_L108_ *)
% 0.92/1.09 assert (zenon_L109_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H151 zenon_Ha1 zenon_H9d zenon_H9a zenon_H127 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H14a zenon_H38 zenon_H106.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.09 apply (zenon_L102_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L101_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_L95_); trivial.
% 0.92/1.09 apply (zenon_L106_); trivial.
% 0.92/1.09 apply (zenon_L108_); trivial.
% 0.92/1.09 (* end of lemma zenon_L109_ *)
% 0.92/1.09 assert (zenon_L110_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Haf zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90.
% 0.92/1.09 generalize (zenon_Haf (a8)). zenon_intro zenon_H152.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_H9 | zenon_intro zenon_H153 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H154 | zenon_intro zenon_H94 ].
% 0.92/1.09 generalize (zenon_H112 (a8)). zenon_intro zenon_H155.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H9 | zenon_intro zenon_H156 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ].
% 0.92/1.09 exact (zenon_H154 zenon_H158).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 0.92/1.09 exact (zenon_H95 zenon_H8f).
% 0.92/1.09 exact (zenon_H96 zenon_H91).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ].
% 0.92/1.09 exact (zenon_H97 zenon_H90).
% 0.92/1.09 exact (zenon_H96 zenon_H91).
% 0.92/1.09 (* end of lemma zenon_L110_ *)
% 0.92/1.09 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp11)) -> (~(hskp19)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H11a zenon_Hb2 zenon_H43 zenon_Hb4 zenon_H17 zenon_H8b.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 0.92/1.09 apply (zenon_L110_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H44 | zenon_intro zenon_Hb3 ].
% 0.92/1.09 exact (zenon_H43 zenon_H44).
% 0.92/1.09 exact (zenon_Hb2 zenon_Hb3).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ].
% 0.92/1.09 exact (zenon_H17 zenon_H18).
% 0.92/1.09 exact (zenon_H8b zenon_H8c).
% 0.92/1.09 (* end of lemma zenon_L111_ *)
% 0.92/1.09 assert (zenon_L112_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Ha1 zenon_H11a zenon_H17 zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.09 apply (zenon_L37_); trivial.
% 0.92/1.09 apply (zenon_L111_); trivial.
% 0.92/1.09 (* end of lemma zenon_L112_ *)
% 0.92/1.09 assert (zenon_L113_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_H17 zenon_H19.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_L9_); trivial.
% 0.92/1.09 apply (zenon_L105_); trivial.
% 0.92/1.09 (* end of lemma zenon_L113_ *)
% 0.92/1.09 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L25_); trivial.
% 0.92/1.09 apply (zenon_L113_); trivial.
% 0.92/1.09 (* end of lemma zenon_L114_ *)
% 0.92/1.09 assert (zenon_L115_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H13d zenon_Ha zenon_H159 zenon_H15a zenon_H15b.
% 0.92/1.09 generalize (zenon_H13d (a15)). zenon_intro zenon_H15c.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 0.92/1.09 exact (zenon_H159 zenon_H15f).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ].
% 0.92/1.09 exact (zenon_H15a zenon_H161).
% 0.92/1.09 exact (zenon_H15b zenon_H160).
% 0.92/1.09 (* end of lemma zenon_L115_ *)
% 0.92/1.09 assert (zenon_L116_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_H142 zenon_H2f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.09 apply (zenon_L115_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.09 apply (zenon_L103_); trivial.
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 (* end of lemma zenon_L116_ *)
% 0.92/1.09 assert (zenon_L117_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a20)) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H32 zenon_H26 zenon_H1e zenon_H1d zenon_H1b zenon_Ha zenon_H2f zenon_H1.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.09 apply (zenon_L11_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 exact (zenon_H1 zenon_H2).
% 0.92/1.09 (* end of lemma zenon_L117_ *)
% 0.92/1.09 assert (zenon_L118_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_H1 zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H17 zenon_H19.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_L9_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.09 apply (zenon_L116_); trivial.
% 0.92/1.09 apply (zenon_L117_); trivial.
% 0.92/1.09 (* end of lemma zenon_L118_ *)
% 0.92/1.09 assert (zenon_L119_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77.
% 0.92/1.09 generalize (zenon_H73 (a29)). zenon_intro zenon_H78.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.92/1.09 exact (zenon_H74 zenon_H7b).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 0.92/1.09 generalize (zenon_Hb6 (a29)). zenon_intro zenon_H164.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H164); [ zenon_intro zenon_H9 | zenon_intro zenon_H165 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H81 | zenon_intro zenon_Heb ].
% 0.92/1.09 exact (zenon_H7d zenon_H81).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 0.92/1.09 exact (zenon_H74 zenon_H7b).
% 0.92/1.09 exact (zenon_H7c zenon_H77).
% 0.92/1.09 exact (zenon_H7c zenon_H77).
% 0.92/1.09 (* end of lemma zenon_L119_ *)
% 0.92/1.09 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H166.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.09 apply (zenon_L116_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.09 apply (zenon_L119_); trivial.
% 0.92/1.09 exact (zenon_H15 zenon_H16).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.92/1.09 exact (zenon_H15 zenon_H16).
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 apply (zenon_L105_); trivial.
% 0.92/1.09 (* end of lemma zenon_L120_ *)
% 0.92/1.09 assert (zenon_L121_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H106 zenon_H14c zenon_H166 zenon_H162 zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_H2f zenon_H141 zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H11a zenon_H17 zenon_Hb2 zenon_Hb4 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H19 zenon_H38 zenon_H5f zenon_H5a zenon_H14a zenon_Hf5.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L112_); trivial.
% 0.92/1.09 apply (zenon_L49_); trivial.
% 0.92/1.09 apply (zenon_L54_); trivial.
% 0.92/1.09 apply (zenon_L114_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L112_); trivial.
% 0.92/1.09 apply (zenon_L118_); trivial.
% 0.92/1.09 apply (zenon_L50_); trivial.
% 0.92/1.09 apply (zenon_L54_); trivial.
% 0.92/1.09 apply (zenon_L62_); trivial.
% 0.92/1.09 apply (zenon_L120_); trivial.
% 0.92/1.09 (* end of lemma zenon_L121_ *)
% 0.92/1.09 assert (zenon_L122_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L71_); trivial.
% 0.92/1.09 apply (zenon_L114_); trivial.
% 0.92/1.09 (* end of lemma zenon_L122_ *)
% 0.92/1.09 assert (zenon_L123_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.09 apply (zenon_L122_); trivial.
% 0.92/1.09 apply (zenon_L76_); trivial.
% 0.92/1.09 (* end of lemma zenon_L123_ *)
% 0.92/1.09 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H2f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.09 apply (zenon_L115_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.09 apply (zenon_L27_); trivial.
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 (* end of lemma zenon_L124_ *)
% 0.92/1.09 assert (zenon_L125_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H111.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L79_); trivial.
% 0.92/1.09 apply (zenon_L124_); trivial.
% 0.92/1.09 (* end of lemma zenon_L125_ *)
% 0.92/1.09 assert (zenon_L126_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H16b zenon_Ha zenon_H129 zenon_H12a zenon_H133.
% 0.92/1.09 generalize (zenon_H16b (a21)). zenon_intro zenon_H16c.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_H9 | zenon_intro zenon_H16d ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H12f | zenon_intro zenon_H136 ].
% 0.92/1.09 exact (zenon_H129 zenon_H12f).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H131 | zenon_intro zenon_H137 ].
% 0.92/1.09 exact (zenon_H12a zenon_H131).
% 0.92/1.09 exact (zenon_H137 zenon_H133).
% 0.92/1.09 (* end of lemma zenon_L126_ *)
% 0.92/1.09 assert (zenon_L127_ : ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H16e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_Hec zenon_H3.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H16b | zenon_intro zenon_H16f ].
% 0.92/1.09 apply (zenon_L126_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hed | zenon_intro zenon_H4 ].
% 0.92/1.09 exact (zenon_Hec zenon_Hed).
% 0.92/1.09 exact (zenon_H3 zenon_H4).
% 0.92/1.09 (* end of lemma zenon_L127_ *)
% 0.92/1.09 assert (zenon_L128_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L127_); trivial.
% 0.92/1.09 apply (zenon_L94_); trivial.
% 0.92/1.09 apply (zenon_L50_); trivial.
% 0.92/1.09 (* end of lemma zenon_L128_ *)
% 0.92/1.09 assert (zenon_L129_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H170 zenon_Ha zenon_Hd5 zenon_H129 zenon_H133.
% 0.92/1.09 generalize (zenon_H170 (a21)). zenon_intro zenon_H171.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_H9 | zenon_intro zenon_H172 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ].
% 0.92/1.09 apply (zenon_L97_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H12f | zenon_intro zenon_H137 ].
% 0.92/1.09 exact (zenon_H129 zenon_H12f).
% 0.92/1.09 exact (zenon_H137 zenon_H133).
% 0.92/1.09 (* end of lemma zenon_L129_ *)
% 0.92/1.09 assert (zenon_L130_ : (~(hskp23)) -> (hskp23) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H174 zenon_H175.
% 0.92/1.09 exact (zenon_H174 zenon_H175).
% 0.92/1.09 (* end of lemma zenon_L130_ *)
% 0.92/1.09 assert (zenon_L131_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H176 zenon_H133 zenon_H129 zenon_Hd5 zenon_Ha zenon_H15 zenon_H174.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ].
% 0.92/1.09 apply (zenon_L129_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ].
% 0.92/1.09 exact (zenon_H15 zenon_H16).
% 0.92/1.09 exact (zenon_H174 zenon_H175).
% 0.92/1.09 (* end of lemma zenon_L131_ *)
% 0.92/1.09 assert (zenon_L132_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H132 zenon_H1e zenon_H1d zenon_H26 zenon_Ha zenon_H2b.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_He8 | zenon_intro zenon_H14b ].
% 0.92/1.09 apply (zenon_L93_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Haf | zenon_intro zenon_H2c ].
% 0.92/1.09 apply (zenon_L46_); trivial.
% 0.92/1.09 exact (zenon_H2b zenon_H2c).
% 0.92/1.09 (* end of lemma zenon_L132_ *)
% 0.92/1.09 assert (zenon_L133_ : (~(hskp10)) -> (hskp10) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H178 zenon_H179.
% 0.92/1.09 exact (zenon_H178 zenon_H179).
% 0.92/1.09 (* end of lemma zenon_L133_ *)
% 0.92/1.09 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp12)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H17a zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H178.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb | zenon_intro zenon_H17b ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H132 | zenon_intro zenon_H179 ].
% 0.92/1.09 apply (zenon_L132_); trivial.
% 0.92/1.09 exact (zenon_H178 zenon_H179).
% 0.92/1.09 (* end of lemma zenon_L134_ *)
% 0.92/1.09 assert (zenon_L135_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a26))) -> (~(c1_1 (a26))) -> (c3_1 (a26)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H5f zenon_H38 zenon_H17a zenon_H178 zenon_H2b zenon_H14a zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H176 zenon_H174 zenon_H101 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L127_); trivial.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H102 ].
% 0.92/1.09 apply (zenon_L74_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hed ].
% 0.92/1.09 apply (zenon_L131_); trivial.
% 0.92/1.09 exact (zenon_Hec zenon_Hed).
% 0.92/1.09 apply (zenon_L134_); trivial.
% 0.92/1.09 (* end of lemma zenon_L135_ *)
% 0.92/1.09 assert (zenon_L136_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H132 zenon_Ha zenon_H17c zenon_H17d zenon_H17e.
% 0.92/1.09 generalize (zenon_H132 (a42)). zenon_intro zenon_H17f.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H9 | zenon_intro zenon_H180 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ].
% 0.92/1.09 exact (zenon_H17c zenon_H182).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ].
% 0.92/1.09 exact (zenon_H17d zenon_H184).
% 0.92/1.09 exact (zenon_H183 zenon_H17e).
% 0.92/1.09 (* end of lemma zenon_L136_ *)
% 0.92/1.09 assert (zenon_L137_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp10)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H17a zenon_H17e zenon_H17d zenon_H17c zenon_H178.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb | zenon_intro zenon_H17b ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H132 | zenon_intro zenon_H179 ].
% 0.92/1.09 apply (zenon_L136_); trivial.
% 0.92/1.09 exact (zenon_H178 zenon_H179).
% 0.92/1.09 (* end of lemma zenon_L137_ *)
% 0.92/1.09 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L127_); trivial.
% 0.92/1.09 apply (zenon_L137_); trivial.
% 0.92/1.09 (* end of lemma zenon_L138_ *)
% 0.92/1.09 assert (zenon_L139_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H168 zenon_H188 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.09 apply (zenon_L135_); trivial.
% 0.92/1.09 apply (zenon_L138_); trivial.
% 0.92/1.09 (* end of lemma zenon_L139_ *)
% 0.92/1.09 assert (zenon_L140_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_Hf6 zenon_H141 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_H85 zenon_H138 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L128_); trivial.
% 0.92/1.09 apply (zenon_L100_); trivial.
% 0.92/1.09 apply (zenon_L68_); trivial.
% 0.92/1.09 apply (zenon_L139_); trivial.
% 0.92/1.09 (* end of lemma zenon_L140_ *)
% 0.92/1.09 assert (zenon_L141_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H77 zenon_H74 zenon_H76 zenon_H2f zenon_H32 zenon_Hae.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_L66_); trivial.
% 0.92/1.09 apply (zenon_L28_); trivial.
% 0.92/1.09 (* end of lemma zenon_L141_ *)
% 0.92/1.09 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_Hf6 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.09 apply (zenon_L79_); trivial.
% 0.92/1.09 apply (zenon_L141_); trivial.
% 0.92/1.09 (* end of lemma zenon_L142_ *)
% 0.92/1.09 assert (zenon_L143_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H2f zenon_H141 zenon_Hf6.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L107_); trivial.
% 0.92/1.09 apply (zenon_L142_); trivial.
% 0.92/1.09 (* end of lemma zenon_L143_ *)
% 0.92/1.09 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H18a zenon_H151 zenon_H6e zenon_H111 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H38 zenon_H17a zenon_H178 zenon_H14a zenon_H176 zenon_H101 zenon_H188 zenon_H189.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.09 apply (zenon_L140_); trivial.
% 0.92/1.09 apply (zenon_L143_); trivial.
% 0.92/1.09 (* end of lemma zenon_L144_ *)
% 0.92/1.09 assert (zenon_L145_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H75 zenon_Ha zenon_H18d zenon_H18e zenon_H18f.
% 0.92/1.09 generalize (zenon_H75 (a17)). zenon_intro zenon_H190.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H9 | zenon_intro zenon_H191 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ].
% 0.92/1.09 exact (zenon_H18d zenon_H193).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ].
% 0.92/1.09 exact (zenon_H18e zenon_H195).
% 0.92/1.09 exact (zenon_H194 zenon_H18f).
% 0.92/1.09 (* end of lemma zenon_L145_ *)
% 0.92/1.09 assert (zenon_L146_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H85 zenon_H2f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ].
% 0.92/1.09 apply (zenon_L145_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ].
% 0.92/1.09 exact (zenon_H85 zenon_H86).
% 0.92/1.09 exact (zenon_H2f zenon_H30).
% 0.92/1.09 (* end of lemma zenon_L146_ *)
% 0.92/1.09 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp8)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H196 zenon_H87 zenon_H85 zenon_H2f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.09 apply (zenon_L146_); trivial.
% 0.92/1.09 (* end of lemma zenon_L147_ *)
% 0.92/1.09 assert (zenon_L148_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H106 zenon_H14c zenon_H166 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H11a zenon_Hb4 zenon_H49 zenon_H8d zenon_H5e zenon_H19 zenon_H38 zenon_H5f zenon_H5a zenon_H14a zenon_Hf5 zenon_H33 zenon_H2d zenon_H6e zenon_Hec zenon_H101 zenon_H189 zenon_H188 zenon_H176 zenon_H17a zenon_Hae zenon_Hee zenon_H85 zenon_H138 zenon_H16e zenon_Hf0 zenon_H19b.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.09 apply (zenon_L121_); trivial.
% 0.92/1.09 apply (zenon_L123_); trivial.
% 0.92/1.09 apply (zenon_L125_); trivial.
% 0.92/1.09 apply (zenon_L144_); trivial.
% 0.92/1.09 apply (zenon_L147_); trivial.
% 0.92/1.09 (* end of lemma zenon_L148_ *)
% 0.92/1.09 assert (zenon_L149_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a13)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_H19e zenon_H112 zenon_H19f.
% 0.92/1.09 generalize (zenon_Hb6 (a13)). zenon_intro zenon_H1a0.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a1 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 0.92/1.09 exact (zenon_H19e zenon_H1a3).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ].
% 0.92/1.09 generalize (zenon_H112 (a13)). zenon_intro zenon_H1a6.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a7 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a8 ].
% 0.92/1.09 exact (zenon_H19e zenon_H1a3).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ].
% 0.92/1.09 exact (zenon_H1a4 zenon_H19f).
% 0.92/1.09 exact (zenon_H1a9 zenon_H1a5).
% 0.92/1.09 exact (zenon_H1a4 zenon_H19f).
% 0.92/1.09 (* end of lemma zenon_L149_ *)
% 0.92/1.09 assert (zenon_L150_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(hskp11)) -> (~(hskp19)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hb6 zenon_H17 zenon_H8b.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ].
% 0.92/1.09 apply (zenon_L149_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ].
% 0.92/1.09 exact (zenon_H17 zenon_H18).
% 0.92/1.09 exact (zenon_H8b zenon_H8c).
% 0.92/1.09 (* end of lemma zenon_L150_ *)
% 0.92/1.09 assert (zenon_L151_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hc4 zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_Ha zenon_H2b zenon_Hc0.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ].
% 0.92/1.09 apply (zenon_L150_); trivial.
% 0.92/1.09 exact (zenon_H2b zenon_H2c).
% 0.92/1.09 apply (zenon_L54_); trivial.
% 0.92/1.09 (* end of lemma zenon_L151_ *)
% 0.92/1.09 assert (zenon_L152_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H142 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.09 generalize (zenon_H142 (a13)). zenon_intro zenon_H1ab.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ac ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1ad ].
% 0.92/1.09 exact (zenon_H19e zenon_H1a3).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ae ].
% 0.92/1.09 exact (zenon_H1a4 zenon_H19f).
% 0.92/1.09 exact (zenon_H1ae zenon_H1aa).
% 0.92/1.09 (* end of lemma zenon_L152_ *)
% 0.92/1.09 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.09 apply (zenon_L152_); trivial.
% 0.92/1.09 apply (zenon_L38_); trivial.
% 0.92/1.09 (* end of lemma zenon_L153_ *)
% 0.92/1.09 assert (zenon_L154_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H60 zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H5 zenon_H77 zenon_H76 zenon_H74 zenon_H127.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.09 apply (zenon_L88_); trivial.
% 0.92/1.09 apply (zenon_L153_); trivial.
% 0.92/1.09 (* end of lemma zenon_L154_ *)
% 0.92/1.09 assert (zenon_L155_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H77 zenon_H76 zenon_H74 zenon_H127 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.09 apply (zenon_L4_); trivial.
% 0.92/1.09 apply (zenon_L154_); trivial.
% 0.92/1.09 (* end of lemma zenon_L155_ *)
% 0.92/1.09 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.09 apply (zenon_L155_); trivial.
% 0.92/1.09 apply (zenon_L67_); trivial.
% 0.92/1.09 (* end of lemma zenon_L156_ *)
% 0.92/1.09 assert (zenon_L157_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.09 apply (zenon_L86_); trivial.
% 0.92/1.09 apply (zenon_L156_); trivial.
% 0.92/1.09 (* end of lemma zenon_L157_ *)
% 0.92/1.09 assert (zenon_L158_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H75 zenon_H74 zenon_Ha zenon_H15.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.09 apply (zenon_L152_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.09 apply (zenon_L30_); trivial.
% 0.92/1.09 exact (zenon_H15 zenon_H16).
% 0.92/1.09 (* end of lemma zenon_L158_ *)
% 0.92/1.09 assert (zenon_L159_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H1aa zenon_H14c zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L158_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L150_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L159_ *)
% 0.92/1.09 assert (zenon_L160_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H4d zenon_Ha zenon_H75 zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.09 generalize (zenon_H4d (a24)). zenon_intro zenon_H1af.
% 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ].
% 0.92/1.09 exact (zenon_H9 zenon_Ha).
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H10d ].
% 0.92/1.09 apply (zenon_L82_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ].
% 0.92/1.09 exact (zenon_H110 zenon_H109).
% 0.92/1.09 exact (zenon_H10f zenon_H10a).
% 0.92/1.09 (* end of lemma zenon_L160_ *)
% 0.92/1.09 assert (zenon_L161_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.09 apply (zenon_L43_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.09 apply (zenon_L160_); trivial.
% 0.92/1.09 apply (zenon_L46_); trivial.
% 0.92/1.09 (* end of lemma zenon_L161_ *)
% 0.92/1.09 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H8b zenon_H17 zenon_H19e zenon_H19f zenon_H11a zenon_H11f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L161_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L150_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L162_ *)
% 0.92/1.09 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.09 do 0 intro. intros zenon_Hab zenon_H38 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.09 apply (zenon_L159_); trivial.
% 0.92/1.09 apply (zenon_L162_); trivial.
% 0.92/1.09 (* end of lemma zenon_L163_ *)
% 0.92/1.09 assert (zenon_L164_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H5a zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H57 zenon_H3.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ].
% 0.92/1.09 apply (zenon_L160_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ].
% 0.92/1.09 exact (zenon_H57 zenon_H58).
% 0.92/1.09 exact (zenon_H3 zenon_H4).
% 0.92/1.09 (* end of lemma zenon_L164_ *)
% 0.92/1.09 assert (zenon_L165_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H3 zenon_H57 zenon_H108 zenon_H109 zenon_H10a zenon_H5a zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L164_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L52_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L165_ *)
% 0.92/1.09 assert (zenon_L166_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L158_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L52_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L166_ *)
% 0.92/1.09 assert (zenon_L167_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H1b1 zenon_H1b zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.09 apply (zenon_L11_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.09 apply (zenon_L160_); trivial.
% 0.92/1.09 apply (zenon_L46_); trivial.
% 0.92/1.09 (* end of lemma zenon_L167_ *)
% 0.92/1.09 assert (zenon_L168_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.09 apply (zenon_L6_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.09 apply (zenon_L152_); trivial.
% 0.92/1.09 apply (zenon_L167_); trivial.
% 0.92/1.09 (* end of lemma zenon_L168_ *)
% 0.92/1.09 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False).
% 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.09 apply (zenon_L168_); trivial.
% 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.09 apply (zenon_L52_); trivial.
% 0.92/1.09 exact (zenon_H11f zenon_H120).
% 0.92/1.09 (* end of lemma zenon_L169_ *)
% 0.92/1.09 assert (zenon_L170_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L165_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L166_); trivial.
% 0.92/1.10 apply (zenon_L169_); trivial.
% 0.92/1.10 (* end of lemma zenon_L170_ *)
% 0.92/1.10 assert (zenon_L171_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H162 zenon_H5a zenon_H57 zenon_Hee zenon_Hec zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H38 zenon_Hae zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_L86_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.10 apply (zenon_L65_); trivial.
% 0.92/1.10 apply (zenon_L163_); trivial.
% 0.92/1.10 apply (zenon_L170_); trivial.
% 0.92/1.10 (* end of lemma zenon_L171_ *)
% 0.92/1.10 assert (zenon_L172_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H17 zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_Hae zenon_H38 zenon_H1b1 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_Hec zenon_Hee zenon_H5a zenon_H162 zenon_H5f zenon_Hf5.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.10 apply (zenon_L171_); trivial.
% 0.92/1.10 apply (zenon_L76_); trivial.
% 0.92/1.10 (* end of lemma zenon_L172_ *)
% 0.92/1.10 assert (zenon_L173_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H39 zenon_Ha zenon_H19e zenon_H1b zenon_H19f zenon_H1aa.
% 0.92/1.10 generalize (zenon_H39 (a13)). zenon_intro zenon_H1b3.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1b5 ].
% 0.92/1.10 exact (zenon_H19e zenon_H1a3).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1ae ].
% 0.92/1.10 generalize (zenon_H1b (a13)). zenon_intro zenon_H1b6.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1b6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b7 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b8 ].
% 0.92/1.10 exact (zenon_H1a4 zenon_H19f).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1a9 ].
% 0.92/1.10 exact (zenon_H1ae zenon_H1aa).
% 0.92/1.10 exact (zenon_H1a9 zenon_H1a5).
% 0.92/1.10 exact (zenon_H1ae zenon_H1aa).
% 0.92/1.10 (* end of lemma zenon_L173_ *)
% 0.92/1.10 assert (zenon_L174_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(hskp16)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H45.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.10 apply (zenon_L6_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ].
% 0.92/1.10 apply (zenon_L173_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ].
% 0.92/1.10 exact (zenon_H43 zenon_H44).
% 0.92/1.10 exact (zenon_H45 zenon_H46).
% 0.92/1.10 (* end of lemma zenon_L174_ *)
% 0.92/1.10 assert (zenon_L175_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H162 zenon_H43 zenon_H45 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L25_); trivial.
% 0.92/1.10 apply (zenon_L174_); trivial.
% 0.92/1.10 (* end of lemma zenon_L175_ *)
% 0.92/1.10 assert (zenon_L176_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H176 zenon_H43 zenon_Ha zenon_H129 zenon_H133 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H15 zenon_H174.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.10 apply (zenon_L27_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.10 apply (zenon_L129_); trivial.
% 0.92/1.10 exact (zenon_H43 zenon_H44).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ].
% 0.92/1.10 exact (zenon_H15 zenon_H16).
% 0.92/1.10 exact (zenon_H174 zenon_H175).
% 0.92/1.10 (* end of lemma zenon_L176_ *)
% 0.92/1.10 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H31 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.10 apply (zenon_L149_); trivial.
% 0.92/1.10 apply (zenon_L132_); trivial.
% 0.92/1.10 exact (zenon_H2b zenon_H2c).
% 0.92/1.10 (* end of lemma zenon_L177_ *)
% 0.92/1.10 assert (zenon_L178_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L176_); trivial.
% 0.92/1.10 apply (zenon_L177_); trivial.
% 0.92/1.10 (* end of lemma zenon_L178_ *)
% 0.92/1.10 assert (zenon_L179_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H17a zenon_H178 zenon_H17e zenon_H17d zenon_H17c zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L25_); trivial.
% 0.92/1.10 apply (zenon_L137_); trivial.
% 0.92/1.10 (* end of lemma zenon_L179_ *)
% 0.92/1.10 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.10 apply (zenon_L179_); trivial.
% 0.92/1.10 (* end of lemma zenon_L180_ *)
% 0.92/1.10 assert (zenon_L181_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.10 apply (zenon_L175_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.10 apply (zenon_L178_); trivial.
% 0.92/1.10 apply (zenon_L180_); trivial.
% 0.92/1.10 (* end of lemma zenon_L181_ *)
% 0.92/1.10 assert (zenon_L182_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.10 apply (zenon_L173_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.10 apply (zenon_L126_); trivial.
% 0.92/1.10 apply (zenon_L119_); trivial.
% 0.92/1.10 (* end of lemma zenon_L182_ *)
% 0.92/1.10 assert (zenon_L183_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.10 apply (zenon_L6_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_L182_); trivial.
% 0.92/1.10 (* end of lemma zenon_L183_ *)
% 0.92/1.10 assert (zenon_L184_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c2_1 (a29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H15 zenon_H76 zenon_H14c zenon_H77 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_H11f.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L158_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_L183_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L184_ *)
% 0.92/1.10 assert (zenon_L185_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L184_); trivial.
% 0.92/1.10 apply (zenon_L105_); trivial.
% 0.92/1.10 (* end of lemma zenon_L185_ *)
% 0.92/1.10 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L25_); trivial.
% 0.92/1.10 apply (zenon_L185_); trivial.
% 0.92/1.10 (* end of lemma zenon_L186_ *)
% 0.92/1.10 assert (zenon_L187_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_L181_); trivial.
% 0.92/1.10 apply (zenon_L186_); trivial.
% 0.92/1.10 (* end of lemma zenon_L187_ *)
% 0.92/1.10 assert (zenon_L188_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H45 zenon_H43 zenon_H162 zenon_H5f.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L4_); trivial.
% 0.92/1.10 apply (zenon_L174_); trivial.
% 0.92/1.10 apply (zenon_L50_); trivial.
% 0.92/1.10 (* end of lemma zenon_L188_ *)
% 0.92/1.10 assert (zenon_L189_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.10 apply (zenon_L188_); trivial.
% 0.92/1.10 apply (zenon_L62_); trivial.
% 0.92/1.10 (* end of lemma zenon_L189_ *)
% 0.92/1.10 assert (zenon_L190_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.10 apply (zenon_L17_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.10 apply (zenon_L126_); trivial.
% 0.92/1.10 apply (zenon_L30_); trivial.
% 0.92/1.10 (* end of lemma zenon_L190_ *)
% 0.92/1.10 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c2_1 (a29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H59 zenon_H121 zenon_H74 zenon_H77 zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_H76 zenon_H1bd zenon_H11f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L190_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.10 apply (zenon_L190_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.10 apply (zenon_L119_); trivial.
% 0.92/1.10 apply (zenon_L22_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L191_ *)
% 0.92/1.10 assert (zenon_L192_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a29))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H121 zenon_H76 zenon_H3a zenon_H3b zenon_H3c zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H11f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L190_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_L183_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L192_ *)
% 0.92/1.10 assert (zenon_L193_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H49 zenon_H2b zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H1bd zenon_H11f zenon_H121 zenon_H5e.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.10 apply (zenon_L21_); trivial.
% 0.92/1.10 apply (zenon_L191_); trivial.
% 0.92/1.10 apply (zenon_L192_); trivial.
% 0.92/1.10 (* end of lemma zenon_L193_ *)
% 0.92/1.10 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H49 zenon_H2b zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H1bd zenon_H11f zenon_H121 zenon_H5e zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.10 apply (zenon_L155_); trivial.
% 0.92/1.10 apply (zenon_L193_); trivial.
% 0.92/1.10 (* end of lemma zenon_L194_ *)
% 0.92/1.10 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp28)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H1bf zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H1c0.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H75 | zenon_intro zenon_H1c1 ].
% 0.92/1.10 apply (zenon_L83_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Haf | zenon_intro zenon_H1c2 ].
% 0.92/1.10 apply (zenon_L46_); trivial.
% 0.92/1.10 exact (zenon_H1c0 zenon_H1c2).
% 0.92/1.10 (* end of lemma zenon_L195_ *)
% 0.92/1.10 assert (zenon_L196_ : (~(hskp18)) -> (hskp18) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1c3 zenon_H1c4.
% 0.92/1.10 exact (zenon_H1c3 zenon_H1c4).
% 0.92/1.10 (* end of lemma zenon_L196_ *)
% 0.92/1.10 assert (zenon_L197_ : (~(hskp27)) -> (hskp27) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1c5 zenon_H1c6.
% 0.92/1.10 exact (zenon_H1c5 zenon_H1c6).
% 0.92/1.10 (* end of lemma zenon_L197_ *)
% 0.92/1.10 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp18)) -> (~(hskp27)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H1c3 zenon_H1c5.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c9.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1cb. zenon_intro zenon_H1ca.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ].
% 0.92/1.10 generalize (zenon_H1cf (a2)). zenon_intro zenon_H1d0.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d1 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ].
% 0.92/1.10 exact (zenon_H1d3 zenon_H1cb).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1d4 ].
% 0.92/1.10 exact (zenon_H1d5 zenon_H1cd).
% 0.92/1.10 exact (zenon_H1d4 zenon_H1cc).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 0.92/1.10 exact (zenon_H1c3 zenon_H1c4).
% 0.92/1.10 exact (zenon_H1c5 zenon_H1c6).
% 0.92/1.10 (* end of lemma zenon_L198_ *)
% 0.92/1.10 assert (zenon_L199_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp27)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1d6 zenon_H1c8 zenon_H1c5 zenon_H1c3 zenon_H176 zenon_H174 zenon_Ha zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H109 zenon_H108 zenon_H1bf zenon_H38.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c7 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L176_); trivial.
% 0.92/1.10 apply (zenon_L195_); trivial.
% 0.92/1.10 apply (zenon_L198_); trivial.
% 0.92/1.10 (* end of lemma zenon_L199_ *)
% 0.92/1.10 assert (zenon_L200_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a65))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H25 zenon_Ha zenon_H1d7 zenon_Hb zenon_H1d8 zenon_H1d9.
% 0.92/1.10 generalize (zenon_H25 (a65)). zenon_intro zenon_H1da.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ].
% 0.92/1.10 exact (zenon_H1d7 zenon_H1dd).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.92/1.10 generalize (zenon_Hb (a65)). zenon_intro zenon_H1e0.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e1 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ].
% 0.92/1.10 exact (zenon_H1df zenon_H1e3).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1de ].
% 0.92/1.10 exact (zenon_H1d8 zenon_H1e4).
% 0.92/1.10 exact (zenon_H1de zenon_H1d9).
% 0.92/1.10 exact (zenon_H1de zenon_H1d9).
% 0.92/1.10 (* end of lemma zenon_L200_ *)
% 0.92/1.10 assert (zenon_L201_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hb zenon_Ha zenon_H4d zenon_H109 zenon_H10a zenon_H108.
% 0.92/1.10 generalize (zenon_Hb (a24)). zenon_intro zenon_H1e5.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H119 | zenon_intro zenon_H1e7 ].
% 0.92/1.10 generalize (zenon_H4d (a24)). zenon_intro zenon_H1af.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H10d ].
% 0.92/1.10 exact (zenon_H116 zenon_H119).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ].
% 0.92/1.10 exact (zenon_H110 zenon_H109).
% 0.92/1.10 exact (zenon_H10f zenon_H10a).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ].
% 0.92/1.10 exact (zenon_H108 zenon_H10e).
% 0.92/1.10 exact (zenon_H10f zenon_H10a).
% 0.92/1.10 (* end of lemma zenon_L201_ *)
% 0.92/1.10 assert (zenon_L202_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a65)) -> (~(c2_1 (a65))) -> (~(c1_1 (a65))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1b1 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.10 apply (zenon_L200_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.10 apply (zenon_L201_); trivial.
% 0.92/1.10 apply (zenon_L46_); trivial.
% 0.92/1.10 (* end of lemma zenon_L202_ *)
% 0.92/1.10 assert (zenon_L203_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> (c0_1 (a20)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H1b zenon_H1d zenon_H1e zenon_H26.
% 0.92/1.10 generalize (zenon_H1e8 (a20)). zenon_intro zenon_H1e9.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c | zenon_intro zenon_H1eb ].
% 0.92/1.10 apply (zenon_L10_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H2a | zenon_intro zenon_H24 ].
% 0.92/1.10 exact (zenon_H2a zenon_H26).
% 0.92/1.10 exact (zenon_H24 zenon_H1d).
% 0.92/1.10 (* end of lemma zenon_L203_ *)
% 0.92/1.10 assert (zenon_L204_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H1b zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 0.92/1.10 apply (zenon_L99_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 0.92/1.10 apply (zenon_L203_); trivial.
% 0.92/1.10 apply (zenon_L46_); trivial.
% 0.92/1.10 (* end of lemma zenon_L204_ *)
% 0.92/1.10 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a65))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.10 apply (zenon_L202_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_L204_); trivial.
% 0.92/1.10 (* end of lemma zenon_L205_ *)
% 0.92/1.10 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1ee zenon_H38 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L176_); trivial.
% 0.92/1.10 apply (zenon_L205_); trivial.
% 0.92/1.10 (* end of lemma zenon_L206_ *)
% 0.92/1.10 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.10 apply (zenon_L80_); trivial.
% 0.92/1.10 apply (zenon_L136_); trivial.
% 0.92/1.10 (* end of lemma zenon_L207_ *)
% 0.92/1.10 assert (zenon_L208_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H73 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2.
% 0.92/1.10 generalize (zenon_H73 (a33)). zenon_intro zenon_H1f3.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ].
% 0.92/1.10 exact (zenon_H1f1 zenon_H1f6).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ].
% 0.92/1.10 generalize (zenon_Hb6 (a33)). zenon_intro zenon_H1f9.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fb ].
% 0.92/1.10 exact (zenon_H1f8 zenon_H1fc).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ].
% 0.92/1.10 exact (zenon_H1f1 zenon_H1f6).
% 0.92/1.10 exact (zenon_H1f7 zenon_H1f2).
% 0.92/1.10 exact (zenon_H1f7 zenon_H1f2).
% 0.92/1.10 (* end of lemma zenon_L208_ *)
% 0.92/1.10 assert (zenon_L209_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.10 apply (zenon_L173_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.10 apply (zenon_L126_); trivial.
% 0.92/1.10 apply (zenon_L208_); trivial.
% 0.92/1.10 (* end of lemma zenon_L209_ *)
% 0.92/1.10 assert (zenon_L210_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.10 apply (zenon_L201_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_L209_); trivial.
% 0.92/1.10 (* end of lemma zenon_L210_ *)
% 0.92/1.10 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H1fd zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H1bd zenon_H11f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H200. zenon_intro zenon_H1f1.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L83_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.10 apply (zenon_L83_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.10 apply (zenon_L208_); trivial.
% 0.92/1.10 apply (zenon_L210_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L211_ *)
% 0.92/1.10 assert (zenon_L212_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.10 apply (zenon_L79_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ].
% 0.92/1.10 apply (zenon_L199_); trivial.
% 0.92/1.10 apply (zenon_L206_); trivial.
% 0.92/1.10 apply (zenon_L207_); trivial.
% 0.92/1.10 apply (zenon_L211_); trivial.
% 0.92/1.10 (* end of lemma zenon_L212_ *)
% 0.92/1.10 assert (zenon_L213_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.10 apply (zenon_L201_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.10 apply (zenon_L152_); trivial.
% 0.92/1.10 apply (zenon_L182_); trivial.
% 0.92/1.10 (* end of lemma zenon_L213_ *)
% 0.92/1.10 assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H121 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H76 zenon_H1bd zenon_H11f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L190_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.10 apply (zenon_L190_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.10 apply (zenon_L119_); trivial.
% 0.92/1.10 apply (zenon_L213_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L214_ *)
% 0.92/1.10 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H121 zenon_H11f zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.10 apply (zenon_L155_); trivial.
% 0.92/1.10 apply (zenon_L214_); trivial.
% 0.92/1.10 (* end of lemma zenon_L215_ *)
% 0.92/1.10 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H188 zenon_H1b9 zenon_H1d6 zenon_H1c8 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1bf zenon_H38 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H12a zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_L212_); trivial.
% 0.92/1.10 apply (zenon_L215_); trivial.
% 0.92/1.10 (* end of lemma zenon_L216_ *)
% 0.92/1.10 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H201 zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bd zenon_H106.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.10 apply (zenon_L187_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_L189_); trivial.
% 0.92/1.10 apply (zenon_L194_); trivial.
% 0.92/1.10 apply (zenon_L216_); trivial.
% 0.92/1.10 (* end of lemma zenon_L217_ *)
% 0.92/1.10 assert (zenon_L218_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L145_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_L150_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L218_ *)
% 0.92/1.10 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp6)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H11f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.10 apply (zenon_L145_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.10 apply (zenon_L52_); trivial.
% 0.92/1.10 exact (zenon_H11f zenon_H120).
% 0.92/1.10 (* end of lemma zenon_L219_ *)
% 0.92/1.10 assert (zenon_L220_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (ndr1_0) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hc4 zenon_Ha zenon_H18d zenon_H18e zenon_H18f zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.10 apply (zenon_L218_); trivial.
% 0.92/1.10 apply (zenon_L219_); trivial.
% 0.92/1.10 (* end of lemma zenon_L220_ *)
% 0.92/1.10 assert (zenon_L221_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp7)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H138 zenon_H17e zenon_H17d zenon_H17c zenon_H85.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ].
% 0.92/1.10 apply (zenon_L6_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ].
% 0.92/1.10 apply (zenon_L136_); trivial.
% 0.92/1.10 exact (zenon_H85 zenon_H86).
% 0.92/1.10 (* end of lemma zenon_L221_ *)
% 0.92/1.10 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L25_); trivial.
% 0.92/1.10 apply (zenon_L221_); trivial.
% 0.92/1.10 (* end of lemma zenon_L222_ *)
% 0.92/1.10 assert (zenon_L223_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H5e zenon_H1bd zenon_H74 zenon_H77 zenon_Hc0 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.10 apply (zenon_L21_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.10 apply (zenon_L145_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ].
% 0.92/1.10 apply (zenon_L119_); trivial.
% 0.92/1.10 exact (zenon_H2b zenon_H2c).
% 0.92/1.10 apply (zenon_L22_); trivial.
% 0.92/1.10 (* end of lemma zenon_L223_ *)
% 0.92/1.10 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H5 zenon_H127 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_Hc0 zenon_H1bd zenon_H5e.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.10 apply (zenon_L223_); trivial.
% 0.92/1.10 apply (zenon_L154_); trivial.
% 0.92/1.10 (* end of lemma zenon_L224_ *)
% 0.92/1.10 assert (zenon_L225_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H106 zenon_H72 zenon_H7 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H127 zenon_H5 zenon_H83 zenon_Ha1 zenon_Hf5.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.10 apply (zenon_L175_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.10 apply (zenon_L178_); trivial.
% 0.92/1.10 apply (zenon_L222_); trivial.
% 0.92/1.10 apply (zenon_L224_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_L189_); trivial.
% 0.92/1.10 apply (zenon_L224_); trivial.
% 0.92/1.10 (* end of lemma zenon_L225_ *)
% 0.92/1.10 assert (zenon_L226_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H1bb zenon_H201 zenon_Hf5 zenon_Ha1 zenon_H83 zenon_H5 zenon_H127 zenon_H1bd zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H85 zenon_H138 zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H7 zenon_H72 zenon_H106 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.10 apply (zenon_L220_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.10 apply (zenon_L225_); trivial.
% 0.92/1.10 apply (zenon_L216_); trivial.
% 0.92/1.10 (* end of lemma zenon_L226_ *)
% 0.92/1.10 assert (zenon_L227_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.10 apply (zenon_L69_); trivial.
% 0.92/1.10 (* end of lemma zenon_L227_ *)
% 0.92/1.10 assert (zenon_L228_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Hb2 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.10 apply (zenon_L122_); trivial.
% 0.92/1.10 apply (zenon_L227_); trivial.
% 0.92/1.10 (* end of lemma zenon_L228_ *)
% 0.92/1.10 assert (zenon_L229_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H166 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H15 zenon_H2f.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ].
% 0.92/1.10 apply (zenon_L52_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.92/1.10 exact (zenon_H15 zenon_H16).
% 0.92/1.10 exact (zenon_H2f zenon_H30).
% 0.92/1.10 (* end of lemma zenon_L229_ *)
% 0.92/1.10 assert (zenon_L230_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c0_1 (a20)) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (~(hskp25)) -> (~(hskp9)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H9d zenon_H26 zenon_H1e zenon_H1d zenon_Ha zenon_H25 zenon_H98 zenon_H9a.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1b | zenon_intro zenon_Ha0 ].
% 0.92/1.10 apply (zenon_L11_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ].
% 0.92/1.10 exact (zenon_H98 zenon_H99).
% 0.92/1.10 exact (zenon_H9a zenon_H9b).
% 0.92/1.10 (* end of lemma zenon_L230_ *)
% 0.92/1.10 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H32 zenon_H9a zenon_H98 zenon_H9d zenon_H2f zenon_H1.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.10 apply (zenon_L230_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.10 exact (zenon_H2f zenon_H30).
% 0.92/1.10 exact (zenon_H1 zenon_H2).
% 0.92/1.10 (* end of lemma zenon_L231_ *)
% 0.92/1.10 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H38 zenon_H32 zenon_H9a zenon_H9d zenon_H2f zenon_H166 zenon_Hae.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.10 apply (zenon_L229_); trivial.
% 0.92/1.10 apply (zenon_L231_); trivial.
% 0.92/1.10 apply (zenon_L44_); trivial.
% 0.92/1.10 apply (zenon_L28_); trivial.
% 0.92/1.10 (* end of lemma zenon_L232_ *)
% 0.92/1.10 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H9a zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hc4 zenon_Hf6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.10 apply (zenon_L79_); trivial.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.10 apply (zenon_L81_); trivial.
% 0.92/1.10 apply (zenon_L232_); trivial.
% 0.92/1.10 apply (zenon_L142_); trivial.
% 0.92/1.10 (* end of lemma zenon_L233_ *)
% 0.92/1.10 assert (zenon_L234_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.10 apply (zenon_L228_); trivial.
% 0.92/1.10 apply (zenon_L123_); trivial.
% 0.92/1.10 apply (zenon_L233_); trivial.
% 0.92/1.10 (* end of lemma zenon_L234_ *)
% 0.92/1.10 assert (zenon_L235_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H13d zenon_Ha zenon_He8 zenon_H129 zenon_H12a.
% 0.92/1.10 generalize (zenon_H13d (a21)). zenon_intro zenon_H13e.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ].
% 0.92/1.10 apply (zenon_L92_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12f | zenon_intro zenon_H131 ].
% 0.92/1.10 exact (zenon_H129 zenon_H12f).
% 0.92/1.10 exact (zenon_H12a zenon_H131).
% 0.92/1.10 (* end of lemma zenon_L235_ *)
% 0.92/1.10 assert (zenon_L236_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp25)) -> (~(hskp3)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_Hee zenon_H12a zenon_H129 zenon_Ha zenon_H13d zenon_H98 zenon_Hec.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ].
% 0.92/1.10 apply (zenon_L235_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ].
% 0.92/1.10 exact (zenon_H98 zenon_H99).
% 0.92/1.10 exact (zenon_Hec zenon_Hed).
% 0.92/1.10 (* end of lemma zenon_L236_ *)
% 0.92/1.10 assert (zenon_L237_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H73 zenon_Ha zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.10 generalize (zenon_H73 (a12)). zenon_intro zenon_H206.
% 0.92/1.10 apply (zenon_imply_s _ _ zenon_H206); [ zenon_intro zenon_H9 | zenon_intro zenon_H207 ].
% 0.92/1.10 exact (zenon_H9 zenon_Ha).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ].
% 0.92/1.10 exact (zenon_H203 zenon_H209).
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ].
% 0.92/1.10 exact (zenon_H20b zenon_H204).
% 0.92/1.10 exact (zenon_H20a zenon_H205).
% 0.92/1.10 (* end of lemma zenon_L237_ *)
% 0.92/1.10 assert (zenon_L238_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.10 apply (zenon_L17_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.10 apply (zenon_L126_); trivial.
% 0.92/1.10 apply (zenon_L237_); trivial.
% 0.92/1.10 (* end of lemma zenon_L238_ *)
% 0.92/1.10 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.10 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ].
% 0.92/1.10 apply (zenon_L236_); trivial.
% 0.92/1.10 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ].
% 0.92/1.10 apply (zenon_L237_); trivial.
% 0.92/1.10 exact (zenon_H1 zenon_H2).
% 0.92/1.10 apply (zenon_L44_); trivial.
% 0.92/1.10 apply (zenon_L238_); trivial.
% 0.92/1.10 (* end of lemma zenon_L239_ *)
% 0.92/1.10 assert (zenon_L240_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H20c zenon_H15b zenon_H15a zenon_H159 zenon_H205 zenon_H204 zenon_H203 zenon_Ha zenon_H1.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ].
% 0.92/1.11 apply (zenon_L115_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ].
% 0.92/1.11 apply (zenon_L237_); trivial.
% 0.92/1.11 exact (zenon_H1 zenon_H2).
% 0.92/1.11 (* end of lemma zenon_L240_ *)
% 0.92/1.11 assert (zenon_L241_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L240_); trivial.
% 0.92/1.11 apply (zenon_L50_); trivial.
% 0.92/1.11 (* end of lemma zenon_L241_ *)
% 0.92/1.11 assert (zenon_L242_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.11 apply (zenon_L241_); trivial.
% 0.92/1.11 apply (zenon_L124_); trivial.
% 0.92/1.11 (* end of lemma zenon_L242_ *)
% 0.92/1.11 assert (zenon_L243_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp8)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H6e zenon_H3c zenon_H3b zenon_H3a zenon_H15 zenon_Ha zenon_H203 zenon_H204 zenon_H205 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H14c zenon_H2f.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 0.92/1.11 apply (zenon_L17_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.11 apply (zenon_L103_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.11 apply (zenon_L237_); trivial.
% 0.92/1.11 exact (zenon_H15 zenon_H16).
% 0.92/1.11 exact (zenon_H2f zenon_H30).
% 0.92/1.11 (* end of lemma zenon_L243_ *)
% 0.92/1.11 assert (zenon_L244_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H6d zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L243_); trivial.
% 0.92/1.11 apply (zenon_L105_); trivial.
% 0.92/1.11 (* end of lemma zenon_L244_ *)
% 0.92/1.11 assert (zenon_L245_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H6e zenon_H72 zenon_H47 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L242_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L240_); trivial.
% 0.92/1.11 apply (zenon_L244_); trivial.
% 0.92/1.11 (* end of lemma zenon_L245_ *)
% 0.92/1.11 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L240_); trivial.
% 0.92/1.11 apply (zenon_L238_); trivial.
% 0.92/1.11 (* end of lemma zenon_L246_ *)
% 0.92/1.11 assert (zenon_L247_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H111 zenon_H151.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L242_); trivial.
% 0.92/1.11 apply (zenon_L114_); trivial.
% 0.92/1.11 apply (zenon_L245_); trivial.
% 0.92/1.11 apply (zenon_L125_); trivial.
% 0.92/1.11 apply (zenon_L246_); trivial.
% 0.92/1.11 (* end of lemma zenon_L247_ *)
% 0.92/1.11 assert (zenon_L248_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H20e zenon_H14c zenon_H141 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.11 apply (zenon_L234_); trivial.
% 0.92/1.11 apply (zenon_L239_); trivial.
% 0.92/1.11 apply (zenon_L247_); trivial.
% 0.92/1.11 (* end of lemma zenon_L248_ *)
% 0.92/1.11 assert (zenon_L249_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_Ha zenon_H15.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.11 apply (zenon_L152_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.11 apply (zenon_L87_); trivial.
% 0.92/1.11 exact (zenon_H15 zenon_H16).
% 0.92/1.11 (* end of lemma zenon_L249_ *)
% 0.92/1.11 assert (zenon_L250_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp29)) -> (~(hskp5)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H127 zenon_H15 zenon_Ha zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H89 zenon_H5.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ].
% 0.92/1.11 apply (zenon_L249_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ].
% 0.92/1.11 exact (zenon_H89 zenon_H8a).
% 0.92/1.11 exact (zenon_H5 zenon_H6).
% 0.92/1.11 (* end of lemma zenon_L250_ *)
% 0.92/1.11 assert (zenon_L251_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1b1 zenon_H9a zenon_H98 zenon_H9d zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.11 apply (zenon_L230_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.11 apply (zenon_L160_); trivial.
% 0.92/1.11 apply (zenon_L46_); trivial.
% 0.92/1.11 (* end of lemma zenon_L251_ *)
% 0.92/1.11 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_H8b zenon_H17 zenon_H19e zenon_H19f zenon_H11a zenon_H11f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.11 apply (zenon_L251_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.11 apply (zenon_L150_); trivial.
% 0.92/1.11 exact (zenon_H11f zenon_H120).
% 0.92/1.11 (* end of lemma zenon_L252_ *)
% 0.92/1.11 assert (zenon_L253_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121 zenon_H38.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L250_); trivial.
% 0.92/1.11 apply (zenon_L252_); trivial.
% 0.92/1.11 apply (zenon_L41_); trivial.
% 0.92/1.11 (* end of lemma zenon_L253_ *)
% 0.92/1.11 assert (zenon_L254_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H205 zenon_H204 zenon_H203 zenon_Ha zenon_H15.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ].
% 0.92/1.11 apply (zenon_L152_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ].
% 0.92/1.11 apply (zenon_L237_); trivial.
% 0.92/1.11 exact (zenon_H15 zenon_H16).
% 0.92/1.11 (* end of lemma zenon_L254_ *)
% 0.92/1.11 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H17 zenon_H8b zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L254_); trivial.
% 0.92/1.11 apply (zenon_L162_); trivial.
% 0.92/1.11 (* end of lemma zenon_L255_ *)
% 0.92/1.11 assert (zenon_L256_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.11 apply (zenon_L251_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.11 apply (zenon_L52_); trivial.
% 0.92/1.11 exact (zenon_H11f zenon_H120).
% 0.92/1.11 (* end of lemma zenon_L256_ *)
% 0.92/1.11 assert (zenon_L257_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L254_); trivial.
% 0.92/1.11 apply (zenon_L256_); trivial.
% 0.92/1.11 (* end of lemma zenon_L257_ *)
% 0.92/1.11 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.11 apply (zenon_L161_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.11 apply (zenon_L52_); trivial.
% 0.92/1.11 exact (zenon_H11f zenon_H120).
% 0.92/1.11 (* end of lemma zenon_L258_ *)
% 0.92/1.11 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L254_); trivial.
% 0.92/1.11 apply (zenon_L258_); trivial.
% 0.92/1.11 (* end of lemma zenon_L259_ *)
% 0.92/1.11 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11f zenon_H121 zenon_H38.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.11 apply (zenon_L257_); trivial.
% 0.92/1.11 apply (zenon_L259_); trivial.
% 0.92/1.11 (* end of lemma zenon_L260_ *)
% 0.92/1.11 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Ha1 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_H38 zenon_H205 zenon_H204 zenon_H203 zenon_Hae.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.11 apply (zenon_L253_); trivial.
% 0.92/1.11 apply (zenon_L255_); trivial.
% 0.92/1.11 apply (zenon_L260_); trivial.
% 0.92/1.11 (* end of lemma zenon_L261_ *)
% 0.92/1.11 assert (zenon_L262_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ].
% 0.92/1.11 apply (zenon_L6_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ].
% 0.92/1.11 apply (zenon_L237_); trivial.
% 0.92/1.11 exact (zenon_H5 zenon_H6).
% 0.92/1.11 (* end of lemma zenon_L262_ *)
% 0.92/1.11 assert (zenon_L263_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L4_); trivial.
% 0.92/1.11 apply (zenon_L262_); trivial.
% 0.92/1.11 (* end of lemma zenon_L263_ *)
% 0.92/1.11 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L263_); trivial.
% 0.92/1.11 apply (zenon_L238_); trivial.
% 0.92/1.11 (* end of lemma zenon_L264_ *)
% 0.92/1.11 assert (zenon_L265_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H83 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H203 zenon_H204 zenon_H205 zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H14c zenon_H1aa zenon_H5 zenon_H127 zenon_Ha1 zenon_Hf5 zenon_H151.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.11 apply (zenon_L151_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L86_); trivial.
% 0.92/1.11 apply (zenon_L261_); trivial.
% 0.92/1.11 apply (zenon_L264_); trivial.
% 0.92/1.11 (* end of lemma zenon_L265_ *)
% 0.92/1.11 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L240_); trivial.
% 0.92/1.11 apply (zenon_L67_); trivial.
% 0.92/1.11 (* end of lemma zenon_L266_ *)
% 0.92/1.11 assert (zenon_L267_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L86_); trivial.
% 0.92/1.11 apply (zenon_L266_); trivial.
% 0.92/1.11 (* end of lemma zenon_L267_ *)
% 0.92/1.11 assert (zenon_L268_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H188 zenon_H176 zenon_H17a zenon_H141 zenon_H85 zenon_H138 zenon_H16e zenon_H19b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.11 apply (zenon_L234_); trivial.
% 0.92/1.11 apply (zenon_L144_); trivial.
% 0.92/1.11 apply (zenon_L147_); trivial.
% 0.92/1.11 (* end of lemma zenon_L268_ *)
% 0.92/1.11 assert (zenon_L269_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H20e zenon_H14c zenon_H162 zenon_H19b zenon_H16e zenon_H138 zenon_H85 zenon_H141 zenon_H17a zenon_H176 zenon_H188 zenon_H189 zenon_H101 zenon_Hf5 zenon_H14a zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_Hae zenon_H8d zenon_H9d zenon_Ha1 zenon_Hb4 zenon_Hc0 zenon_Hc4 zenon_Hec zenon_Hee zenon_Hf0 zenon_H106 zenon_H166 zenon_H11a zenon_H111 zenon_H151 zenon_H87 zenon_H19a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.11 apply (zenon_L268_); trivial.
% 0.92/1.11 apply (zenon_L148_); trivial.
% 0.92/1.11 (* end of lemma zenon_L269_ *)
% 0.92/1.11 assert (zenon_L270_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H20f zenon_Ha zenon_H132 zenon_H210 zenon_H211 zenon_H212.
% 0.92/1.11 generalize (zenon_H20f (a10)). zenon_intro zenon_H213.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ].
% 0.92/1.11 generalize (zenon_H132 (a10)). zenon_intro zenon_H217.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H9 | zenon_intro zenon_H218 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ].
% 0.92/1.11 exact (zenon_H210 zenon_H21a).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ].
% 0.92/1.11 exact (zenon_H211 zenon_H21c).
% 0.92/1.11 exact (zenon_H21b zenon_H216).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H21a | zenon_intro zenon_H21d ].
% 0.92/1.11 exact (zenon_H210 zenon_H21a).
% 0.92/1.11 exact (zenon_H21d zenon_H212).
% 0.92/1.11 (* end of lemma zenon_L270_ *)
% 0.92/1.11 assert (zenon_L271_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.11 apply (zenon_L152_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.11 apply (zenon_L80_); trivial.
% 0.92/1.11 apply (zenon_L270_); trivial.
% 0.92/1.11 (* end of lemma zenon_L271_ *)
% 0.92/1.11 assert (zenon_L272_ : (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H21e zenon_Ha zenon_H210 zenon_H211 zenon_H212.
% 0.92/1.11 generalize (zenon_H21e (a10)). zenon_intro zenon_H21f.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H9 | zenon_intro zenon_H220 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21a | zenon_intro zenon_H221 ].
% 0.92/1.11 exact (zenon_H210 zenon_H21a).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 0.92/1.11 exact (zenon_H211 zenon_H21c).
% 0.92/1.11 exact (zenon_H21d zenon_H212).
% 0.92/1.11 (* end of lemma zenon_L272_ *)
% 0.92/1.11 assert (zenon_L273_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_He8 zenon_Ha zenon_H39 zenon_Hb7 zenon_Hb8 zenon_Hb9.
% 0.92/1.11 generalize (zenon_He8 (a35)). zenon_intro zenon_H222.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H9 | zenon_intro zenon_H223 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H224 | zenon_intro zenon_Hbc ].
% 0.92/1.11 generalize (zenon_H39 (a35)). zenon_intro zenon_H225.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_H9 | zenon_intro zenon_H226 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hbd | zenon_intro zenon_H227 ].
% 0.92/1.11 exact (zenon_Hb7 zenon_Hbd).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hbf | zenon_intro zenon_H228 ].
% 0.92/1.11 exact (zenon_Hb8 zenon_Hbf).
% 0.92/1.11 exact (zenon_H228 zenon_H224).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 0.92/1.11 exact (zenon_Hb8 zenon_Hbf).
% 0.92/1.11 exact (zenon_Hbe zenon_Hb9).
% 0.92/1.11 (* end of lemma zenon_L273_ *)
% 0.92/1.11 assert (zenon_L274_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H39 zenon_Ha zenon_H9a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.11 apply (zenon_L272_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.11 apply (zenon_L273_); trivial.
% 0.92/1.11 exact (zenon_H9a zenon_H9b).
% 0.92/1.11 (* end of lemma zenon_L274_ *)
% 0.92/1.11 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H22b zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H1b1 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9a.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.11 apply (zenon_L271_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.11 apply (zenon_L251_); trivial.
% 0.92/1.11 apply (zenon_L274_); trivial.
% 0.92/1.11 (* end of lemma zenon_L275_ *)
% 0.92/1.11 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H22b zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9a.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.11 apply (zenon_L271_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.11 apply (zenon_L161_); trivial.
% 0.92/1.11 apply (zenon_L274_); trivial.
% 0.92/1.11 (* end of lemma zenon_L276_ *)
% 0.92/1.11 assert (zenon_L277_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H9a zenon_H229 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L9_); trivial.
% 0.92/1.11 apply (zenon_L276_); trivial.
% 0.92/1.11 (* end of lemma zenon_L277_ *)
% 0.92/1.11 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H60 zenon_Hae zenon_H19 zenon_H17 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L9_); trivial.
% 0.92/1.11 apply (zenon_L275_); trivial.
% 0.92/1.11 apply (zenon_L277_); trivial.
% 0.92/1.11 (* end of lemma zenon_L278_ *)
% 0.92/1.11 assert (zenon_L279_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L4_); trivial.
% 0.92/1.11 apply (zenon_L278_); trivial.
% 0.92/1.11 (* end of lemma zenon_L279_ *)
% 0.92/1.11 assert (zenon_L280_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H3 zenon_H57 zenon_H108 zenon_H109 zenon_H10a zenon_H5a zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.11 apply (zenon_L271_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.11 apply (zenon_L164_); trivial.
% 0.92/1.11 apply (zenon_L17_); trivial.
% 0.92/1.11 (* end of lemma zenon_L280_ *)
% 0.92/1.11 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H9a.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.11 apply (zenon_L272_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.11 apply (zenon_L63_); trivial.
% 0.92/1.11 exact (zenon_H9a zenon_H9b).
% 0.92/1.11 (* end of lemma zenon_L281_ *)
% 0.92/1.11 assert (zenon_L282_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_H43 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.11 apply (zenon_L79_); trivial.
% 0.92/1.11 apply (zenon_L62_); trivial.
% 0.92/1.11 (* end of lemma zenon_L282_ *)
% 0.92/1.11 assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L282_); trivial.
% 0.92/1.11 apply (zenon_L281_); trivial.
% 0.92/1.11 (* end of lemma zenon_L283_ *)
% 0.92/1.11 assert (zenon_L284_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H132 zenon_H9a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.11 apply (zenon_L272_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.11 apply (zenon_L93_); trivial.
% 0.92/1.11 exact (zenon_H9a zenon_H9b).
% 0.92/1.11 (* end of lemma zenon_L284_ *)
% 0.92/1.11 assert (zenon_L285_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp9)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp7)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H138 zenon_H9a zenon_H129 zenon_H12a zenon_H133 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H85.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ].
% 0.92/1.11 apply (zenon_L6_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ].
% 0.92/1.11 apply (zenon_L284_); trivial.
% 0.92/1.11 exact (zenon_H85 zenon_H86).
% 0.92/1.11 (* end of lemma zenon_L285_ *)
% 0.92/1.11 assert (zenon_L286_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H210 zenon_H211 zenon_H212 zenon_H129 zenon_H12a zenon_H133 zenon_H9a zenon_H229 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L25_); trivial.
% 0.92/1.11 apply (zenon_L285_); trivial.
% 0.92/1.11 (* end of lemma zenon_L286_ *)
% 0.92/1.11 assert (zenon_L287_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp9)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_He4 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H133 zenon_H12a zenon_H129 zenon_H9a.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.11 apply (zenon_L152_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.11 apply (zenon_L80_); trivial.
% 0.92/1.11 apply (zenon_L284_); trivial.
% 0.92/1.11 (* end of lemma zenon_L287_ *)
% 0.92/1.11 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H229 zenon_H9a zenon_H133 zenon_H12a zenon_H129 zenon_H212 zenon_H211 zenon_H210 zenon_H1b9 zenon_Hf6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.11 apply (zenon_L79_); trivial.
% 0.92/1.11 apply (zenon_L287_); trivial.
% 0.92/1.11 apply (zenon_L281_); trivial.
% 0.92/1.11 (* end of lemma zenon_L288_ *)
% 0.92/1.11 assert (zenon_L289_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H19b zenon_H138 zenon_H85 zenon_H49 zenon_H5e zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_He0 zenon_Hae zenon_H19 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_H5a zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106 zenon_H151.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.11 apply (zenon_L151_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.11 apply (zenon_L188_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.11 apply (zenon_L81_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L279_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L280_); trivial.
% 0.92/1.11 apply (zenon_L278_); trivial.
% 0.92/1.11 apply (zenon_L281_); trivial.
% 0.92/1.11 apply (zenon_L283_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.11 apply (zenon_L286_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L189_); trivial.
% 0.92/1.11 apply (zenon_L281_); trivial.
% 0.92/1.11 apply (zenon_L288_); trivial.
% 0.92/1.11 (* end of lemma zenon_L289_ *)
% 0.92/1.11 assert (zenon_L290_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H210 zenon_H22d zenon_H211 zenon_H212.
% 0.92/1.11 generalize (zenon_H1e8 (a10)). zenon_intro zenon_H22e.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21a | zenon_intro zenon_H230 ].
% 0.92/1.11 exact (zenon_H210 zenon_H21a).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H21b | zenon_intro zenon_H21d ].
% 0.92/1.11 generalize (zenon_H22d (a10)). zenon_intro zenon_H231.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H9 | zenon_intro zenon_H232 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H216 | zenon_intro zenon_H233 ].
% 0.92/1.11 exact (zenon_H21b zenon_H216).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H21a | zenon_intro zenon_H21c ].
% 0.92/1.11 exact (zenon_H210 zenon_H21a).
% 0.92/1.11 exact (zenon_H211 zenon_H21c).
% 0.92/1.11 exact (zenon_H21d zenon_H212).
% 0.92/1.11 (* end of lemma zenon_L290_ *)
% 0.92/1.11 assert (zenon_L291_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a10))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H212 zenon_H211 zenon_H22d zenon_H210 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 0.92/1.11 apply (zenon_L115_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 0.92/1.11 apply (zenon_L290_); trivial.
% 0.92/1.11 apply (zenon_L46_); trivial.
% 0.92/1.11 (* end of lemma zenon_L291_ *)
% 0.92/1.11 assert (zenon_L292_ : (~(hskp1)) -> (hskp1) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H234 zenon_H235.
% 0.92/1.11 exact (zenon_H234 zenon_H235).
% 0.92/1.11 (* end of lemma zenon_L292_ *)
% 0.92/1.11 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp1)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H236 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_He zenon_Hd zenon_Hc zenon_H234.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ].
% 0.92/1.11 apply (zenon_L291_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ].
% 0.92/1.11 apply (zenon_L6_); trivial.
% 0.92/1.11 exact (zenon_H234 zenon_H235).
% 0.92/1.11 (* end of lemma zenon_L293_ *)
% 0.92/1.11 assert (zenon_L294_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H17 zenon_H19.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L9_); trivial.
% 0.92/1.11 apply (zenon_L293_); trivial.
% 0.92/1.11 (* end of lemma zenon_L294_ *)
% 0.92/1.11 assert (zenon_L295_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H17 zenon_H19 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L4_); trivial.
% 0.92/1.11 apply (zenon_L294_); trivial.
% 0.92/1.11 (* end of lemma zenon_L295_ *)
% 0.92/1.11 assert (zenon_L296_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H5a zenon_H57 zenon_H22b zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.11 apply (zenon_L188_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L295_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.11 apply (zenon_L280_); trivial.
% 0.92/1.11 apply (zenon_L294_); trivial.
% 0.92/1.11 (* end of lemma zenon_L296_ *)
% 0.92/1.11 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.11 apply (zenon_L282_); trivial.
% 0.92/1.11 apply (zenon_L156_); trivial.
% 0.92/1.11 (* end of lemma zenon_L297_ *)
% 0.92/1.11 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp2)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H238 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H77 zenon_H74 zenon_H76 zenon_H2d.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ].
% 0.92/1.11 apply (zenon_L291_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ].
% 0.92/1.11 apply (zenon_L63_); trivial.
% 0.92/1.11 exact (zenon_H2d zenon_H2e).
% 0.92/1.11 (* end of lemma zenon_L298_ *)
% 0.92/1.11 assert (zenon_L299_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H238 zenon_H2d zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_L250_); trivial.
% 0.92/1.11 apply (zenon_L298_); trivial.
% 0.92/1.11 (* end of lemma zenon_L299_ *)
% 0.92/1.11 assert (zenon_L300_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H90 zenon_H91 zenon_H8f zenon_H22d zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.11 apply (zenon_L152_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 0.92/1.11 apply (zenon_L115_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 0.92/1.11 apply (zenon_L290_); trivial.
% 0.92/1.11 apply (zenon_L110_); trivial.
% 0.92/1.11 apply (zenon_L270_); trivial.
% 0.92/1.11 (* end of lemma zenon_L300_ *)
% 0.92/1.11 assert (zenon_L301_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H23a zenon_Ha zenon_H16b zenon_H15a zenon_H15b zenon_H159.
% 0.92/1.11 generalize (zenon_H23a (a15)). zenon_intro zenon_H23b.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_H9 | zenon_intro zenon_H23c ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ].
% 0.92/1.11 generalize (zenon_H16b (a15)). zenon_intro zenon_H23f.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H161 | zenon_intro zenon_H241 ].
% 0.92/1.11 exact (zenon_H15a zenon_H161).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H160 | zenon_intro zenon_H242 ].
% 0.92/1.11 exact (zenon_H15b zenon_H160).
% 0.92/1.11 exact (zenon_H242 zenon_H23e).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15f | zenon_intro zenon_H161 ].
% 0.92/1.11 exact (zenon_H159 zenon_H15f).
% 0.92/1.11 exact (zenon_H15a zenon_H161).
% 0.92/1.11 (* end of lemma zenon_L301_ *)
% 0.92/1.11 assert (zenon_L302_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.11 apply (zenon_L17_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.11 apply (zenon_L301_); trivial.
% 0.92/1.11 apply (zenon_L30_); trivial.
% 0.92/1.11 (* end of lemma zenon_L302_ *)
% 0.92/1.11 assert (zenon_L303_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H22d zenon_H8f zenon_H91 zenon_H90 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.11 apply (zenon_L300_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.11 apply (zenon_L302_); trivial.
% 0.92/1.11 apply (zenon_L17_); trivial.
% 0.92/1.11 (* end of lemma zenon_L303_ *)
% 0.92/1.11 assert (zenon_L304_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(hskp2)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H238 zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H90 zenon_H91 zenon_H8f zenon_H1ec zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H2d.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ].
% 0.92/1.11 apply (zenon_L303_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ].
% 0.92/1.11 apply (zenon_L63_); trivial.
% 0.92/1.11 exact (zenon_H2d zenon_H2e).
% 0.92/1.11 (* end of lemma zenon_L304_ *)
% 0.92/1.11 assert (zenon_L305_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a26))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a26)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hf8 zenon_Hc5 zenon_Hfa.
% 0.92/1.11 generalize (zenon_Hb (a26)). zenon_intro zenon_H243.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H9 | zenon_intro zenon_H244 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hfe | zenon_intro zenon_H245 ].
% 0.92/1.11 exact (zenon_Hf8 zenon_Hfe).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H246 | zenon_intro zenon_Hff ].
% 0.92/1.11 generalize (zenon_Hc5 (a26)). zenon_intro zenon_H247.
% 0.92/1.11 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H9 | zenon_intro zenon_H248 ].
% 0.92/1.11 exact (zenon_H9 zenon_Ha).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hfe | zenon_intro zenon_H249 ].
% 0.92/1.11 exact (zenon_Hf8 zenon_Hfe).
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24a | zenon_intro zenon_Hff ].
% 0.92/1.11 exact (zenon_H24a zenon_H246).
% 0.92/1.11 exact (zenon_Hff zenon_Hfa).
% 0.92/1.11 exact (zenon_Hff zenon_Hfa).
% 0.92/1.11 (* end of lemma zenon_L305_ *)
% 0.92/1.11 assert (zenon_L306_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H24b zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.11 apply (zenon_L249_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.11 apply (zenon_L305_); trivial.
% 0.92/1.11 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.11 (* end of lemma zenon_L306_ *)
% 0.92/1.11 assert (zenon_L307_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H9c zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H3c zenon_H3b zenon_H3a zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.11 apply (zenon_L304_); trivial.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.11 apply (zenon_L306_); trivial.
% 0.92/1.11 apply (zenon_L78_); trivial.
% 0.92/1.11 apply (zenon_L298_); trivial.
% 0.92/1.11 (* end of lemma zenon_L307_ *)
% 0.92/1.11 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H108 zenon_H109 zenon_H10a zenon_H24d zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.11 apply (zenon_L155_); trivial.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.11 apply (zenon_L299_); trivial.
% 0.92/1.11 apply (zenon_L307_); trivial.
% 0.92/1.11 (* end of lemma zenon_L308_ *)
% 0.92/1.11 assert (zenon_L309_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_Hfa zenon_Hf8 zenon_H24d zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L282_); trivial.
% 0.92/1.12 apply (zenon_L308_); trivial.
% 0.92/1.12 (* end of lemma zenon_L309_ *)
% 0.92/1.12 assert (zenon_L310_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H151 zenon_H189 zenon_H238 zenon_H2d zenon_H14c zenon_H24d zenon_H24b zenon_H1bb zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H19 zenon_H22b zenon_H5a zenon_He0 zenon_H1b9 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_L151_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L296_); trivial.
% 0.92/1.12 apply (zenon_L156_); trivial.
% 0.92/1.12 apply (zenon_L297_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L296_); trivial.
% 0.92/1.12 apply (zenon_L308_); trivial.
% 0.92/1.12 apply (zenon_L309_); trivial.
% 0.92/1.12 (* end of lemma zenon_L310_ *)
% 0.92/1.12 assert (zenon_L311_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hb2 zenon_Hf0 zenon_H72 zenon_Hf5.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L181_); trivial.
% 0.92/1.12 apply (zenon_L156_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L189_); trivial.
% 0.92/1.12 apply (zenon_L156_); trivial.
% 0.92/1.12 (* end of lemma zenon_L311_ *)
% 0.92/1.12 assert (zenon_L312_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb6 zenon_Ha zenon_H17c zenon_H17d zenon_H17e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.12 apply (zenon_L152_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.12 apply (zenon_L149_); trivial.
% 0.92/1.12 apply (zenon_L136_); trivial.
% 0.92/1.12 (* end of lemma zenon_L312_ *)
% 0.92/1.12 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H185 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ].
% 0.92/1.12 apply (zenon_L312_); trivial.
% 0.92/1.12 exact (zenon_H2b zenon_H2c).
% 0.92/1.12 (* end of lemma zenon_L313_ *)
% 0.92/1.12 assert (zenon_L314_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H168 zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.12 apply (zenon_L135_); trivial.
% 0.92/1.12 apply (zenon_L313_); trivial.
% 0.92/1.12 (* end of lemma zenon_L314_ *)
% 0.92/1.12 assert (zenon_L315_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L176_); trivial.
% 0.92/1.12 apply (zenon_L293_); trivial.
% 0.92/1.12 (* end of lemma zenon_L315_ *)
% 0.92/1.12 assert (zenon_L316_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H43 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L79_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L127_); trivial.
% 0.92/1.12 apply (zenon_L315_); trivial.
% 0.92/1.12 apply (zenon_L207_); trivial.
% 0.92/1.12 (* end of lemma zenon_L316_ *)
% 0.92/1.12 assert (zenon_L317_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H8f zenon_H90 zenon_H91.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.12 apply (zenon_L305_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.12 apply (zenon_L152_); trivial.
% 0.92/1.12 apply (zenon_L38_); trivial.
% 0.92/1.12 (* end of lemma zenon_L317_ *)
% 0.92/1.12 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H9c zenon_H24d zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H1b9 zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H3a zenon_H3b zenon_H3c zenon_H238 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.12 apply (zenon_L304_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.12 apply (zenon_L317_); trivial.
% 0.92/1.12 apply (zenon_L78_); trivial.
% 0.92/1.12 (* end of lemma zenon_L318_ *)
% 0.92/1.12 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hf8 zenon_Hfa zenon_H22b zenon_H1bb zenon_H1b9 zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.12 apply (zenon_L155_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.12 apply (zenon_L299_); trivial.
% 0.92/1.12 apply (zenon_L318_); trivial.
% 0.92/1.12 (* end of lemma zenon_L319_ *)
% 0.92/1.12 assert (zenon_L320_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H189 zenon_H24d zenon_H22b zenon_H1bb zenon_H14c zenon_H2d zenon_H238 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H111 zenon_Ha1 zenon_H162 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hf0 zenon_H72 zenon_Hf5.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L316_); trivial.
% 0.92/1.12 apply (zenon_L156_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L316_); trivial.
% 0.92/1.12 apply (zenon_L319_); trivial.
% 0.92/1.12 (* end of lemma zenon_L320_ *)
% 0.92/1.12 assert (zenon_L321_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H229 zenon_H9d zenon_H9a zenon_H98 zenon_H1b1 zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L275_); trivial.
% 0.92/1.12 (* end of lemma zenon_L321_ *)
% 0.92/1.12 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H9a zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hc4 zenon_Hf6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L79_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.12 apply (zenon_L81_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.12 apply (zenon_L321_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L276_); trivial.
% 0.92/1.12 apply (zenon_L281_); trivial.
% 0.92/1.12 (* end of lemma zenon_L322_ *)
% 0.92/1.12 assert (zenon_L323_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp9)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H12a zenon_H129 zenon_Ha zenon_H13d zenon_H9a.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.12 apply (zenon_L272_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.12 apply (zenon_L235_); trivial.
% 0.92/1.12 exact (zenon_H9a zenon_H9b).
% 0.92/1.12 (* end of lemma zenon_L323_ *)
% 0.92/1.12 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ].
% 0.92/1.12 apply (zenon_L323_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ].
% 0.92/1.12 apply (zenon_L237_); trivial.
% 0.92/1.12 exact (zenon_H1 zenon_H2).
% 0.92/1.12 apply (zenon_L238_); trivial.
% 0.92/1.12 (* end of lemma zenon_L324_ *)
% 0.92/1.12 assert (zenon_L325_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_He0 zenon_H111 zenon_Hf5 zenon_H151.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_L151_); trivial.
% 0.92/1.12 apply (zenon_L322_); trivial.
% 0.92/1.12 apply (zenon_L324_); trivial.
% 0.92/1.12 (* end of lemma zenon_L325_ *)
% 0.92/1.12 assert (zenon_L326_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 0.92/1.12 apply (zenon_L115_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 0.92/1.12 apply (zenon_L203_); trivial.
% 0.92/1.12 apply (zenon_L46_); trivial.
% 0.92/1.12 (* end of lemma zenon_L326_ *)
% 0.92/1.12 assert (zenon_L327_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.12 apply (zenon_L201_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.12 apply (zenon_L152_); trivial.
% 0.92/1.12 apply (zenon_L326_); trivial.
% 0.92/1.12 (* end of lemma zenon_L327_ *)
% 0.92/1.12 assert (zenon_L328_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.12 apply (zenon_L168_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.12 apply (zenon_L237_); trivial.
% 0.92/1.12 apply (zenon_L327_); trivial.
% 0.92/1.12 (* end of lemma zenon_L328_ *)
% 0.92/1.12 assert (zenon_L329_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_H1bd zenon_H1b1 zenon_H162 zenon_H14c zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H22b zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L241_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.12 apply (zenon_L295_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L280_); trivial.
% 0.92/1.12 apply (zenon_L328_); trivial.
% 0.92/1.12 (* end of lemma zenon_L329_ *)
% 0.92/1.12 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H24f zenon_H20e zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_H1bd zenon_H162 zenon_H5a zenon_H7 zenon_H5 zenon_H19 zenon_H1ec zenon_H234 zenon_H236 zenon_H5f zenon_H47 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H24d zenon_H2d zenon_H238 zenon_H24b zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.12 apply (zenon_L325_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_L151_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L329_); trivial.
% 0.92/1.12 apply (zenon_L156_); trivial.
% 0.92/1.12 apply (zenon_L297_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L329_); trivial.
% 0.92/1.12 apply (zenon_L319_); trivial.
% 0.92/1.12 apply (zenon_L309_); trivial.
% 0.92/1.12 apply (zenon_L246_); trivial.
% 0.92/1.12 (* end of lemma zenon_L330_ *)
% 0.92/1.12 assert (zenon_L331_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H23a zenon_Ha zenon_H252 zenon_H253 zenon_H254.
% 0.92/1.12 generalize (zenon_H23a (a9)). zenon_intro zenon_H255.
% 0.92/1.12 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ].
% 0.92/1.12 exact (zenon_H9 zenon_Ha).
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ].
% 0.92/1.12 exact (zenon_H252 zenon_H258).
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ].
% 0.92/1.12 exact (zenon_H253 zenon_H25a).
% 0.92/1.12 exact (zenon_H254 zenon_H259).
% 0.92/1.12 (* end of lemma zenon_L331_ *)
% 0.92/1.12 assert (zenon_L332_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H103 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.12 apply (zenon_L331_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.12 apply (zenon_L56_); trivial.
% 0.92/1.12 apply (zenon_L78_); trivial.
% 0.92/1.12 (* end of lemma zenon_L332_ *)
% 0.92/1.12 assert (zenon_L333_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H5f zenon_H162 zenon_H43 zenon_H45 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L127_); trivial.
% 0.92/1.12 apply (zenon_L174_); trivial.
% 0.92/1.12 (* end of lemma zenon_L333_ *)
% 0.92/1.12 assert (zenon_L334_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L333_); trivial.
% 0.92/1.12 apply (zenon_L62_); trivial.
% 0.92/1.12 (* end of lemma zenon_L334_ *)
% 0.92/1.12 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1bb zenon_H11f zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L127_); trivial.
% 0.92/1.12 apply (zenon_L185_); trivial.
% 0.92/1.12 (* end of lemma zenon_L335_ *)
% 0.92/1.12 assert (zenon_L336_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H121 zenon_H77 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H5a zenon_H57 zenon_H3 zenon_H1bd zenon_H11f.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.12 apply (zenon_L164_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.12 apply (zenon_L164_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.12 apply (zenon_L119_); trivial.
% 0.92/1.12 apply (zenon_L213_); trivial.
% 0.92/1.12 exact (zenon_H11f zenon_H120).
% 0.92/1.12 (* end of lemma zenon_L336_ *)
% 0.92/1.12 assert (zenon_L337_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_H11f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.12 apply (zenon_L168_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.12 apply (zenon_L183_); trivial.
% 0.92/1.12 exact (zenon_H11f zenon_H120).
% 0.92/1.12 (* end of lemma zenon_L337_ *)
% 0.92/1.12 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H1b1 zenon_H14c zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L336_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L184_); trivial.
% 0.92/1.12 apply (zenon_L337_); trivial.
% 0.92/1.12 (* end of lemma zenon_L338_ *)
% 0.92/1.12 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H14c zenon_H5f zenon_Hf5.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L212_); trivial.
% 0.92/1.12 apply (zenon_L338_); trivial.
% 0.92/1.12 apply (zenon_L332_); trivial.
% 0.92/1.12 (* end of lemma zenon_L339_ *)
% 0.92/1.12 assert (zenon_L340_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H19b zenon_H201 zenon_H1bd zenon_H202 zenon_H1ec zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H1bb zenon_H47 zenon_H49 zenon_H5e zenon_H14a zenon_H1b9 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H16e zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H5f zenon_H162 zenon_H5a zenon_Hee zenon_Hec zenon_H1aa zenon_H14c zenon_H1b1 zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_L151_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_L171_); trivial.
% 0.92/1.12 apply (zenon_L332_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_L187_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L334_); trivial.
% 0.92/1.12 apply (zenon_L335_); trivial.
% 0.92/1.12 apply (zenon_L339_); trivial.
% 0.92/1.12 (* end of lemma zenon_L340_ *)
% 0.92/1.12 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H185 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H11f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.12 apply (zenon_L145_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.12 apply (zenon_L312_); trivial.
% 0.92/1.12 exact (zenon_H11f zenon_H120).
% 0.92/1.12 (* end of lemma zenon_L341_ *)
% 0.92/1.12 assert (zenon_L342_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H18d zenon_H18e zenon_H18f zenon_H11f zenon_H121 zenon_H188 zenon_Hf6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L175_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.12 apply (zenon_L178_); trivial.
% 0.92/1.12 apply (zenon_L341_); trivial.
% 0.92/1.12 apply (zenon_L186_); trivial.
% 0.92/1.12 (* end of lemma zenon_L342_ *)
% 0.92/1.12 assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H11f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.12 apply (zenon_L145_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.12 apply (zenon_L183_); trivial.
% 0.92/1.12 exact (zenon_H11f zenon_H120).
% 0.92/1.12 (* end of lemma zenon_L343_ *)
% 0.92/1.12 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H11f zenon_H121 zenon_H5e.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.12 apply (zenon_L21_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.12 apply (zenon_L145_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.12 apply (zenon_L145_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.12 apply (zenon_L119_); trivial.
% 0.92/1.12 apply (zenon_L22_); trivial.
% 0.92/1.12 exact (zenon_H11f zenon_H120).
% 0.92/1.12 apply (zenon_L343_); trivial.
% 0.92/1.12 (* end of lemma zenon_L344_ *)
% 0.92/1.12 assert (zenon_L345_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H106 zenon_H1bd zenon_Hec zenon_H16e zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H121 zenon_H11f zenon_H18f zenon_H18e zenon_H18d zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H1bb zenon_H14c zenon_Hf5.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_L342_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L334_); trivial.
% 0.92/1.12 apply (zenon_L344_); trivial.
% 0.92/1.12 (* end of lemma zenon_L345_ *)
% 0.92/1.12 assert (zenon_L346_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H38 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L159_); trivial.
% 0.92/1.12 apply (zenon_L252_); trivial.
% 0.92/1.12 (* end of lemma zenon_L346_ *)
% 0.92/1.12 assert (zenon_L347_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H1aa zenon_H14c zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_H5a zenon_H162 zenon_H5f zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.12 apply (zenon_L151_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_L86_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.12 apply (zenon_L346_); trivial.
% 0.92/1.12 apply (zenon_L163_); trivial.
% 0.92/1.12 apply (zenon_L170_); trivial.
% 0.92/1.12 apply (zenon_L332_); trivial.
% 0.92/1.12 (* end of lemma zenon_L347_ *)
% 0.92/1.12 assert (zenon_L348_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.12 apply (zenon_L173_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.12 apply (zenon_L126_); trivial.
% 0.92/1.12 apply (zenon_L237_); trivial.
% 0.92/1.12 (* end of lemma zenon_L348_ *)
% 0.92/1.12 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H162 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.12 apply (zenon_L6_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.12 apply (zenon_L152_); trivial.
% 0.92/1.12 apply (zenon_L348_); trivial.
% 0.92/1.12 (* end of lemma zenon_L349_ *)
% 0.92/1.12 assert (zenon_L350_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L25_); trivial.
% 0.92/1.12 apply (zenon_L349_); trivial.
% 0.92/1.12 (* end of lemma zenon_L350_ *)
% 0.92/1.12 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H59 zenon_H1b1 zenon_H9a zenon_H98 zenon_H9d zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.12 apply (zenon_L230_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.12 apply (zenon_L22_); trivial.
% 0.92/1.12 apply (zenon_L46_); trivial.
% 0.92/1.12 (* end of lemma zenon_L351_ *)
% 0.92/1.12 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H5e zenon_H1b1 zenon_H98 zenon_H9a zenon_H9d zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.12 apply (zenon_L21_); trivial.
% 0.92/1.12 apply (zenon_L351_); trivial.
% 0.92/1.12 (* end of lemma zenon_L352_ *)
% 0.92/1.12 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H59 zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.12 apply (zenon_L43_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.12 apply (zenon_L22_); trivial.
% 0.92/1.12 apply (zenon_L46_); trivial.
% 0.92/1.12 (* end of lemma zenon_L353_ *)
% 0.92/1.12 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H5e zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.12 apply (zenon_L21_); trivial.
% 0.92/1.12 apply (zenon_L353_); trivial.
% 0.92/1.12 (* end of lemma zenon_L354_ *)
% 0.92/1.12 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L354_); trivial.
% 0.92/1.12 (* end of lemma zenon_L355_ *)
% 0.92/1.12 assert (zenon_L356_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H49 zenon_H3 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L352_); trivial.
% 0.92/1.12 apply (zenon_L355_); trivial.
% 0.92/1.12 (* end of lemma zenon_L356_ *)
% 0.92/1.12 assert (zenon_L357_ : (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H63 zenon_Ha zenon_H1b zenon_H1d zenon_H1e.
% 0.92/1.12 generalize (zenon_H63 (a20)). zenon_intro zenon_H25b.
% 0.92/1.12 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H9 | zenon_intro zenon_H25c ].
% 0.92/1.12 exact (zenon_H9 zenon_Ha).
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1c | zenon_intro zenon_H21 ].
% 0.92/1.12 apply (zenon_L10_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.92/1.12 exact (zenon_H24 zenon_H1d).
% 0.92/1.12 exact (zenon_H23 zenon_H1e).
% 0.92/1.12 (* end of lemma zenon_L357_ *)
% 0.92/1.12 assert (zenon_L358_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c1_1 (a36)) -> (c0_1 (a36)) -> (~(c2_1 (a36))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_He0 zenon_H1e zenon_H1d zenon_H1b zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Ha zenon_H43.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.12 apply (zenon_L357_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.12 apply (zenon_L60_); trivial.
% 0.92/1.12 exact (zenon_H43 zenon_H44).
% 0.92/1.12 (* end of lemma zenon_L358_ *)
% 0.92/1.12 assert (zenon_L359_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a36))) -> (c0_1 (a36)) -> (c1_1 (a36)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.12 apply (zenon_L6_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.12 apply (zenon_L152_); trivial.
% 0.92/1.12 apply (zenon_L358_); trivial.
% 0.92/1.12 (* end of lemma zenon_L359_ *)
% 0.92/1.12 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hdf zenon_H5f zenon_H162 zenon_H43 zenon_He0 zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L356_); trivial.
% 0.92/1.12 apply (zenon_L359_); trivial.
% 0.92/1.12 (* end of lemma zenon_L360_ *)
% 0.92/1.12 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H14a zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L105_); trivial.
% 0.92/1.12 (* end of lemma zenon_L361_ *)
% 0.92/1.12 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_Hd3 zenon_Hd1 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_He0 zenon_H162 zenon_H5f zenon_He5.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.12 apply (zenon_L59_); trivial.
% 0.92/1.12 apply (zenon_L360_); trivial.
% 0.92/1.12 apply (zenon_L361_); trivial.
% 0.92/1.12 (* end of lemma zenon_L362_ *)
% 0.92/1.12 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H203 zenon_H204 zenon_H205 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.12 apply (zenon_L336_); trivial.
% 0.92/1.12 apply (zenon_L349_); trivial.
% 0.92/1.12 (* end of lemma zenon_L363_ *)
% 0.92/1.12 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H5f zenon_Hf5.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.12 apply (zenon_L79_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ].
% 0.92/1.12 apply (zenon_L199_); trivial.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0.
% 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.12 apply (zenon_L254_); trivial.
% 0.92/1.12 apply (zenon_L205_); trivial.
% 0.92/1.12 apply (zenon_L207_); trivial.
% 0.92/1.12 apply (zenon_L211_); trivial.
% 0.92/1.12 apply (zenon_L363_); trivial.
% 0.92/1.12 apply (zenon_L332_); trivial.
% 0.92/1.12 (* end of lemma zenon_L364_ *)
% 0.92/1.12 assert (zenon_L365_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.12 do 0 intro. intros zenon_H1bd zenon_H3 zenon_H57 zenon_H5a zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.12 apply (zenon_L164_); trivial.
% 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.12 apply (zenon_L87_); trivial.
% 0.92/1.12 apply (zenon_L327_); trivial.
% 0.92/1.12 (* end of lemma zenon_L365_ *)
% 0.92/1.12 assert (zenon_L366_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H24b zenon_H1e zenon_H1d zenon_H26 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H5a zenon_H57 zenon_H3 zenon_H1bd zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.13 apply (zenon_L365_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.13 apply (zenon_L305_); trivial.
% 0.92/1.13 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.13 (* end of lemma zenon_L366_ *)
% 0.92/1.13 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H1bd zenon_H3 zenon_H57 zenon_H5a zenon_H77 zenon_H76 zenon_H74 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H24b zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.13 apply (zenon_L366_); trivial.
% 0.92/1.13 apply (zenon_L78_); trivial.
% 0.92/1.13 (* end of lemma zenon_L367_ *)
% 0.92/1.13 assert (zenon_L368_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(hskp30)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H74 zenon_H15 zenon_H24b zenon_Ha zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.13 apply (zenon_L306_); trivial.
% 0.92/1.13 apply (zenon_L78_); trivial.
% 0.92/1.13 (* end of lemma zenon_L368_ *)
% 0.92/1.13 assert (zenon_L369_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H1bd zenon_H1b1 zenon_Hc zenon_Hd zenon_He zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.13 apply (zenon_L168_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.13 apply (zenon_L87_); trivial.
% 0.92/1.13 apply (zenon_L327_); trivial.
% 0.92/1.13 (* end of lemma zenon_L369_ *)
% 0.92/1.13 assert (zenon_L370_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H162 zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L368_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.13 apply (zenon_L369_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.13 apply (zenon_L305_); trivial.
% 0.92/1.13 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.13 apply (zenon_L78_); trivial.
% 0.92/1.13 (* end of lemma zenon_L370_ *)
% 0.92/1.13 assert (zenon_L371_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H17 zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H24d zenon_H38 zenon_Hf5.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L86_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L159_); trivial.
% 0.92/1.13 apply (zenon_L367_); trivial.
% 0.92/1.13 apply (zenon_L370_); trivial.
% 0.92/1.13 apply (zenon_L170_); trivial.
% 0.92/1.13 apply (zenon_L332_); trivial.
% 0.92/1.13 (* end of lemma zenon_L371_ *)
% 0.92/1.13 assert (zenon_L372_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_H72 zenon_Hf0 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1bd zenon_H1ec zenon_H162 zenon_H5a zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H14c zenon_H1aa zenon_H1b1 zenon_H5f zenon_H106 zenon_H189 zenon_H151.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L151_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.13 apply (zenon_L267_); trivial.
% 0.92/1.13 apply (zenon_L371_); trivial.
% 0.92/1.13 apply (zenon_L246_); trivial.
% 0.92/1.13 (* end of lemma zenon_L372_ *)
% 0.92/1.13 assert (zenon_L373_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp3)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H9c zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_Hec.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H21e | zenon_intro zenon_H25e ].
% 0.92/1.13 apply (zenon_L272_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1b | zenon_intro zenon_Hed ].
% 0.92/1.13 apply (zenon_L38_); trivial.
% 0.92/1.13 exact (zenon_Hec zenon_Hed).
% 0.92/1.13 (* end of lemma zenon_L373_ *)
% 0.92/1.13 assert (zenon_L374_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Ha1 zenon_H25d zenon_Hec zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.13 apply (zenon_L37_); trivial.
% 0.92/1.13 apply (zenon_L373_); trivial.
% 0.92/1.13 (* end of lemma zenon_L374_ *)
% 0.92/1.13 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp3)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp8)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_Hec zenon_H210 zenon_H211 zenon_H212 zenon_H25d zenon_H2f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.13 apply (zenon_L115_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H21e | zenon_intro zenon_H25e ].
% 0.92/1.13 apply (zenon_L272_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1b | zenon_intro zenon_Hed ].
% 0.92/1.13 apply (zenon_L357_); trivial.
% 0.92/1.13 exact (zenon_Hec zenon_Hed).
% 0.92/1.13 exact (zenon_H2f zenon_H30).
% 0.92/1.13 (* end of lemma zenon_L375_ *)
% 0.92/1.13 assert (zenon_L376_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H38 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.13 apply (zenon_L374_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L9_); trivial.
% 0.92/1.13 apply (zenon_L375_); trivial.
% 0.92/1.13 apply (zenon_L54_); trivial.
% 0.92/1.13 apply (zenon_L125_); trivial.
% 0.92/1.13 (* end of lemma zenon_L376_ *)
% 0.92/1.13 assert (zenon_L377_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a24)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H10a zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_He8 zenon_Ha zenon_Hb7 zenon_Hb8 zenon_Hb9.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.13 apply (zenon_L271_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.13 apply (zenon_L83_); trivial.
% 0.92/1.13 apply (zenon_L273_); trivial.
% 0.92/1.13 (* end of lemma zenon_L377_ *)
% 0.92/1.13 assert (zenon_L378_ : (~(hskp0)) -> (hskp0) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H25f zenon_H260.
% 0.92/1.13 exact (zenon_H25f zenon_H260).
% 0.92/1.13 (* end of lemma zenon_L378_ *)
% 0.92/1.13 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp2)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp0)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf2 zenon_H261 zenon_H254 zenon_H253 zenon_H252 zenon_H2d zenon_H210 zenon_H211 zenon_H212 zenon_H238 zenon_H25f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ].
% 0.92/1.13 apply (zenon_L290_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ].
% 0.92/1.13 apply (zenon_L63_); trivial.
% 0.92/1.13 exact (zenon_H2d zenon_H2e).
% 0.92/1.13 exact (zenon_H25f zenon_H260).
% 0.92/1.13 (* end of lemma zenon_L379_ *)
% 0.92/1.13 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hc4 zenon_Hf6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L79_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L81_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ].
% 0.92/1.13 apply (zenon_L290_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ].
% 0.92/1.13 apply (zenon_L377_); trivial.
% 0.92/1.13 exact (zenon_H2d zenon_H2e).
% 0.92/1.13 exact (zenon_H25f zenon_H260).
% 0.92/1.13 apply (zenon_L379_); trivial.
% 0.92/1.13 (* end of lemma zenon_L380_ *)
% 0.92/1.13 assert (zenon_L381_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L151_); trivial.
% 0.92/1.13 apply (zenon_L380_); trivial.
% 0.92/1.13 (* end of lemma zenon_L381_ *)
% 0.92/1.13 assert (zenon_L382_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp1)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp0)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H261 zenon_H254 zenon_H253 zenon_H252 zenon_H234 zenon_H210 zenon_H211 zenon_H212 zenon_H236 zenon_H25f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ].
% 0.92/1.13 apply (zenon_L331_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ].
% 0.92/1.13 apply (zenon_L290_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ].
% 0.92/1.13 apply (zenon_L6_); trivial.
% 0.92/1.13 exact (zenon_H234 zenon_H235).
% 0.92/1.13 exact (zenon_H25f zenon_H260).
% 0.92/1.13 (* end of lemma zenon_L382_ *)
% 0.92/1.13 assert (zenon_L383_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H5f zenon_H261 zenon_H25f zenon_H210 zenon_H211 zenon_H212 zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.13 apply (zenon_L25_); trivial.
% 0.92/1.13 apply (zenon_L382_); trivial.
% 0.92/1.13 (* end of lemma zenon_L383_ *)
% 0.92/1.13 assert (zenon_L384_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H2d zenon_H238 zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.13 apply (zenon_L383_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L334_); trivial.
% 0.92/1.13 apply (zenon_L379_); trivial.
% 0.92/1.13 (* end of lemma zenon_L384_ *)
% 0.92/1.13 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H261 zenon_H25f zenon_H2d zenon_H238 zenon_H254 zenon_H253 zenon_H252 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.13 apply (zenon_L325_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L381_); trivial.
% 0.92/1.13 apply (zenon_L246_); trivial.
% 0.92/1.13 (* end of lemma zenon_L385_ *)
% 0.92/1.13 assert (zenon_L386_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H112 zenon_Ha zenon_H263 zenon_H264 zenon_H265.
% 0.92/1.13 generalize (zenon_H112 (a7)). zenon_intro zenon_H266.
% 0.92/1.13 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_H9 | zenon_intro zenon_H267 ].
% 0.92/1.13 exact (zenon_H9 zenon_Ha).
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ].
% 0.92/1.13 exact (zenon_H263 zenon_H269).
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26b | zenon_intro zenon_H26a ].
% 0.92/1.13 exact (zenon_H26b zenon_H264).
% 0.92/1.13 exact (zenon_H26a zenon_H265).
% 0.92/1.13 (* end of lemma zenon_L386_ *)
% 0.92/1.13 assert (zenon_L387_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp19)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H17 zenon_H8b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ].
% 0.92/1.13 apply (zenon_L386_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ].
% 0.92/1.13 exact (zenon_H17 zenon_H18).
% 0.92/1.13 exact (zenon_H8b zenon_H8c).
% 0.92/1.13 (* end of lemma zenon_L387_ *)
% 0.92/1.13 assert (zenon_L388_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L54_); trivial.
% 0.92/1.13 (* end of lemma zenon_L388_ *)
% 0.92/1.13 assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L86_); trivial.
% 0.92/1.13 apply (zenon_L142_); trivial.
% 0.92/1.13 (* end of lemma zenon_L389_ *)
% 0.92/1.13 assert (zenon_L390_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L388_); trivial.
% 0.92/1.13 apply (zenon_L389_); trivial.
% 0.92/1.13 (* end of lemma zenon_L390_ *)
% 0.92/1.13 assert (zenon_L391_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H17a zenon_H38 zenon_H141 zenon_H5f zenon_H85 zenon_H138 zenon_H16e zenon_H47 zenon_Hf0 zenon_H19b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L390_); trivial.
% 0.92/1.13 apply (zenon_L144_); trivial.
% 0.92/1.13 apply (zenon_L147_); trivial.
% 0.92/1.13 (* end of lemma zenon_L391_ *)
% 0.92/1.13 assert (zenon_L392_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121 zenon_H38.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L250_); trivial.
% 0.92/1.13 apply (zenon_L256_); trivial.
% 0.92/1.13 apply (zenon_L41_); trivial.
% 0.92/1.13 (* end of lemma zenon_L392_ *)
% 0.92/1.13 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hab zenon_H38 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L166_); trivial.
% 0.92/1.13 apply (zenon_L258_); trivial.
% 0.92/1.13 (* end of lemma zenon_L393_ *)
% 0.92/1.13 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_Hae zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H127 zenon_Ha1.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.13 apply (zenon_L392_); trivial.
% 0.92/1.13 apply (zenon_L393_); trivial.
% 0.92/1.13 (* end of lemma zenon_L394_ *)
% 0.92/1.13 assert (zenon_L395_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H14c zenon_H1aa zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L151_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L86_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L394_); trivial.
% 0.92/1.13 (* end of lemma zenon_L395_ *)
% 0.92/1.13 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.13 apply (zenon_L152_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.13 apply (zenon_L386_); trivial.
% 0.92/1.13 apply (zenon_L132_); trivial.
% 0.92/1.13 (* end of lemma zenon_L396_ *)
% 0.92/1.13 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_H38.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L176_); trivial.
% 0.92/1.13 apply (zenon_L396_); trivial.
% 0.92/1.13 apply (zenon_L313_); trivial.
% 0.92/1.13 (* end of lemma zenon_L397_ *)
% 0.92/1.13 assert (zenon_L398_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L188_); trivial.
% 0.92/1.13 apply (zenon_L397_); trivial.
% 0.92/1.13 (* end of lemma zenon_L398_ *)
% 0.92/1.13 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H201 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L398_); trivial.
% 0.92/1.13 apply (zenon_L194_); trivial.
% 0.92/1.13 apply (zenon_L216_); trivial.
% 0.92/1.13 (* end of lemma zenon_L399_ *)
% 0.92/1.13 assert (zenon_L400_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L86_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L170_); trivial.
% 0.92/1.13 (* end of lemma zenon_L400_ *)
% 0.92/1.13 assert (zenon_L401_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H121 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.13 apply (zenon_L302_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.13 apply (zenon_L52_); trivial.
% 0.92/1.13 exact (zenon_H11f zenon_H120).
% 0.92/1.13 (* end of lemma zenon_L401_ *)
% 0.92/1.13 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H11f zenon_H121 zenon_H7 zenon_H5 zenon_H127 zenon_H74 zenon_H76 zenon_H77 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_L155_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.13 apply (zenon_L401_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.13 apply (zenon_L56_); trivial.
% 0.92/1.13 apply (zenon_L78_); trivial.
% 0.92/1.13 (* end of lemma zenon_L402_ *)
% 0.92/1.13 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L86_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L402_); trivial.
% 0.92/1.13 (* end of lemma zenon_L403_ *)
% 0.92/1.13 assert (zenon_L404_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_H106 zenon_H72 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H265 zenon_H264 zenon_H263 zenon_H5a zenon_H1aa zenon_H14c zenon_H162 zenon_H1b1 zenon_H38 zenon_H5f zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L151_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.13 apply (zenon_L400_); trivial.
% 0.92/1.13 apply (zenon_L403_); trivial.
% 0.92/1.13 (* end of lemma zenon_L404_ *)
% 0.92/1.13 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1b9 zenon_H14a zenon_H176 zenon_H188 zenon_H201 zenon_H202 zenon_H1ec zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H19b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L395_); trivial.
% 0.92/1.13 apply (zenon_L399_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L404_); trivial.
% 0.92/1.13 apply (zenon_L399_); trivial.
% 0.92/1.13 (* end of lemma zenon_L405_ *)
% 0.92/1.13 assert (zenon_L406_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H2f zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_L263_); trivial.
% 0.92/1.13 apply (zenon_L28_); trivial.
% 0.92/1.13 (* end of lemma zenon_L406_ *)
% 0.92/1.13 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H72 zenon_H6e zenon_H2f zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L79_); trivial.
% 0.92/1.13 apply (zenon_L406_); trivial.
% 0.92/1.13 (* end of lemma zenon_L407_ *)
% 0.92/1.13 assert (zenon_L408_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H19b zenon_H1bb zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H2f zenon_H6e zenon_H72 zenon_Hf6 zenon_H151.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L388_); trivial.
% 0.92/1.13 apply (zenon_L407_); trivial.
% 0.92/1.13 apply (zenon_L264_); trivial.
% 0.92/1.13 (* end of lemma zenon_L408_ *)
% 0.92/1.13 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_H162 zenon_H5a zenon_H24d zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_Hae zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 0.92/1.13 apply (zenon_L408_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.13 apply (zenon_L265_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L404_); trivial.
% 0.92/1.13 apply (zenon_L246_); trivial.
% 0.92/1.13 (* end of lemma zenon_L409_ *)
% 0.92/1.13 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp9)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp15)) -> (~(hskp16)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_H47 zenon_H9a zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H43 zenon_H45.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ].
% 0.92/1.13 apply (zenon_L274_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ].
% 0.92/1.13 exact (zenon_H43 zenon_H44).
% 0.92/1.13 exact (zenon_H45 zenon_H46).
% 0.92/1.13 (* end of lemma zenon_L410_ *)
% 0.92/1.13 assert (zenon_L411_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_H47 zenon_H45 zenon_H43 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L410_); trivial.
% 0.92/1.13 (* end of lemma zenon_L411_ *)
% 0.92/1.13 assert (zenon_L412_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L411_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L387_); trivial.
% 0.92/1.13 apply (zenon_L232_); trivial.
% 0.92/1.13 apply (zenon_L281_); trivial.
% 0.92/1.13 (* end of lemma zenon_L412_ *)
% 0.92/1.13 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp9)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp8)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H141 zenon_H9a zenon_H129 zenon_H12a zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H2f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.13 apply (zenon_L323_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.13 apply (zenon_L27_); trivial.
% 0.92/1.13 exact (zenon_H2f zenon_H30).
% 0.92/1.13 (* end of lemma zenon_L413_ *)
% 0.92/1.13 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H141 zenon_H2f zenon_H210 zenon_H211 zenon_H212 zenon_H129 zenon_H12a zenon_H9a zenon_H229 zenon_H111.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L79_); trivial.
% 0.92/1.13 apply (zenon_L413_); trivial.
% 0.92/1.13 (* end of lemma zenon_L414_ *)
% 0.92/1.13 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H2f zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.13 apply (zenon_L286_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.13 apply (zenon_L323_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.13 apply (zenon_L103_); trivial.
% 0.92/1.13 exact (zenon_H2f zenon_H30).
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.13 apply (zenon_L386_); trivial.
% 0.92/1.13 apply (zenon_L284_); trivial.
% 0.92/1.13 apply (zenon_L414_); trivial.
% 0.92/1.13 (* end of lemma zenon_L415_ *)
% 0.92/1.13 assert (zenon_L416_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H19b zenon_H151 zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H1b9 zenon_H106 zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H2f zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L412_); trivial.
% 0.92/1.13 apply (zenon_L415_); trivial.
% 0.92/1.13 (* end of lemma zenon_L416_ *)
% 0.92/1.13 assert (zenon_L417_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H111 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L388_); trivial.
% 0.92/1.13 apply (zenon_L125_); trivial.
% 0.92/1.13 (* end of lemma zenon_L417_ *)
% 0.92/1.13 assert (zenon_L418_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_Hf6 zenon_H141 zenon_H2f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H17a zenon_H38 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_Hee zenon_H85 zenon_H138 zenon_Hec zenon_H16e zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5 zenon_H6e zenon_H19b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_L417_); trivial.
% 0.92/1.13 apply (zenon_L144_); trivial.
% 0.92/1.13 apply (zenon_L147_); trivial.
% 0.92/1.13 (* end of lemma zenon_L418_ *)
% 0.92/1.13 assert (zenon_L419_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.13 apply (zenon_L152_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.13 apply (zenon_L386_); trivial.
% 0.92/1.13 apply (zenon_L270_); trivial.
% 0.92/1.13 (* end of lemma zenon_L419_ *)
% 0.92/1.13 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.13 apply (zenon_L419_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.13 apply (zenon_L83_); trivial.
% 0.92/1.13 apply (zenon_L17_); trivial.
% 0.92/1.13 (* end of lemma zenon_L420_ *)
% 0.92/1.13 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp9)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H9a.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.13 apply (zenon_L152_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.13 apply (zenon_L386_); trivial.
% 0.92/1.13 apply (zenon_L284_); trivial.
% 0.92/1.13 (* end of lemma zenon_L421_ *)
% 0.92/1.13 assert (zenon_L422_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H19b zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H72 zenon_H7 zenon_H5 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H19 zenon_Hae zenon_H5f zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L388_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L411_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.13 apply (zenon_L81_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_L279_); trivial.
% 0.92/1.13 apply (zenon_L420_); trivial.
% 0.92/1.13 apply (zenon_L281_); trivial.
% 0.92/1.13 apply (zenon_L421_); trivial.
% 0.92/1.13 (* end of lemma zenon_L422_ *)
% 0.92/1.13 assert (zenon_L423_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H22b zenon_H108 zenon_H109 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L188_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_L295_); trivial.
% 0.92/1.13 apply (zenon_L420_); trivial.
% 0.92/1.13 (* end of lemma zenon_L423_ *)
% 0.92/1.13 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.13 apply (zenon_L419_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.13 apply (zenon_L190_); trivial.
% 0.92/1.13 apply (zenon_L17_); trivial.
% 0.92/1.13 (* end of lemma zenon_L424_ *)
% 0.92/1.13 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_L155_); trivial.
% 0.92/1.13 apply (zenon_L424_); trivial.
% 0.92/1.13 (* end of lemma zenon_L425_ *)
% 0.92/1.13 assert (zenon_L426_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_H22b zenon_H1bb zenon_H210 zenon_H211 zenon_H212 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1b9 zenon_H12a zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L398_); trivial.
% 0.92/1.13 apply (zenon_L425_); trivial.
% 0.92/1.13 (* end of lemma zenon_L426_ *)
% 0.92/1.13 assert (zenon_L427_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.13 apply (zenon_L6_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.13 apply (zenon_L152_); trivial.
% 0.92/1.13 apply (zenon_L173_); trivial.
% 0.92/1.13 (* end of lemma zenon_L427_ *)
% 0.92/1.13 assert (zenon_L428_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.13 apply (zenon_L419_); trivial.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.13 apply (zenon_L168_); trivial.
% 0.92/1.13 apply (zenon_L427_); trivial.
% 0.92/1.13 (* end of lemma zenon_L428_ *)
% 0.92/1.13 assert (zenon_L429_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.13 apply (zenon_L176_); trivial.
% 0.92/1.13 apply (zenon_L428_); trivial.
% 0.92/1.13 (* end of lemma zenon_L429_ *)
% 0.92/1.13 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.13 apply (zenon_L4_); trivial.
% 0.92/1.13 apply (zenon_L221_); trivial.
% 0.92/1.13 (* end of lemma zenon_L430_ *)
% 0.92/1.13 assert (zenon_L431_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.13 apply (zenon_L79_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.13 apply (zenon_L4_); trivial.
% 0.92/1.13 apply (zenon_L429_); trivial.
% 0.92/1.13 apply (zenon_L430_); trivial.
% 0.92/1.13 apply (zenon_L420_); trivial.
% 0.92/1.13 (* end of lemma zenon_L431_ *)
% 0.92/1.13 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H85 zenon_H138 zenon_H111 zenon_H188 zenon_H176 zenon_H14a zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H162 zenon_H236 zenon_H234 zenon_H1ec zenon_H238 zenon_H2d zenon_H14c zenon_H1bb zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H5f zenon_Hae zenon_H19 zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H5 zenon_H7 zenon_H72 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H19b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.13 apply (zenon_L422_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L388_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L423_); trivial.
% 0.92/1.13 apply (zenon_L156_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L423_); trivial.
% 0.92/1.13 apply (zenon_L319_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.13 apply (zenon_L426_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L431_); trivial.
% 0.92/1.13 apply (zenon_L156_); trivial.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.13 apply (zenon_L431_); trivial.
% 0.92/1.13 apply (zenon_L319_); trivial.
% 0.92/1.13 (* end of lemma zenon_L432_ *)
% 0.92/1.13 assert (zenon_L433_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H2f zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L412_); trivial.
% 0.92/1.14 apply (zenon_L324_); trivial.
% 0.92/1.14 (* end of lemma zenon_L433_ *)
% 0.92/1.14 assert (zenon_L434_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L417_); trivial.
% 0.92/1.14 apply (zenon_L246_); trivial.
% 0.92/1.14 (* end of lemma zenon_L434_ *)
% 0.92/1.14 assert (zenon_L435_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H20e zenon_Hc0 zenon_H111 zenon_H141 zenon_H151 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H19b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.14 apply (zenon_L433_); trivial.
% 0.92/1.14 apply (zenon_L434_); trivial.
% 0.92/1.14 (* end of lemma zenon_L435_ *)
% 0.92/1.14 assert (zenon_L436_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_Ha zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.14 apply (zenon_L17_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.14 apply (zenon_L301_); trivial.
% 0.92/1.14 apply (zenon_L237_); trivial.
% 0.92/1.14 (* end of lemma zenon_L436_ *)
% 0.92/1.14 assert (zenon_L437_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.14 apply (zenon_L305_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.14 apply (zenon_L152_); trivial.
% 0.92/1.14 apply (zenon_L167_); trivial.
% 0.92/1.14 (* end of lemma zenon_L437_ *)
% 0.92/1.14 assert (zenon_L438_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.14 apply (zenon_L305_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.14 apply (zenon_L152_); trivial.
% 0.92/1.14 apply (zenon_L173_); trivial.
% 0.92/1.14 (* end of lemma zenon_L438_ *)
% 0.92/1.14 assert (zenon_L439_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.14 apply (zenon_L419_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.14 apply (zenon_L437_); trivial.
% 0.92/1.14 apply (zenon_L438_); trivial.
% 0.92/1.14 (* end of lemma zenon_L439_ *)
% 0.92/1.14 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24d zenon_H205 zenon_H204 zenon_H203 zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.14 apply (zenon_L436_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.14 apply (zenon_L439_); trivial.
% 0.92/1.14 apply (zenon_L78_); trivial.
% 0.92/1.14 (* end of lemma zenon_L440_ *)
% 0.92/1.14 assert (zenon_L441_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H168 zenon_H72 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H22b zenon_H1bb zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L240_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.14 apply (zenon_L254_); trivial.
% 0.92/1.14 apply (zenon_L440_); trivial.
% 0.92/1.14 (* end of lemma zenon_L441_ *)
% 0.92/1.14 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H24f zenon_H20e zenon_H263 zenon_H264 zenon_H265 zenon_Hf0 zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.14 apply (zenon_L325_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L388_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_L79_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L240_); trivial.
% 0.92/1.14 apply (zenon_L420_); trivial.
% 0.92/1.14 apply (zenon_L266_); trivial.
% 0.92/1.14 apply (zenon_L441_); trivial.
% 0.92/1.14 apply (zenon_L246_); trivial.
% 0.92/1.14 (* end of lemma zenon_L442_ *)
% 0.92/1.14 assert (zenon_L443_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5a zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H162 zenon_H1b1 zenon_H38 zenon_H5f zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L388_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L400_); trivial.
% 0.92/1.14 apply (zenon_L332_); trivial.
% 0.92/1.14 (* end of lemma zenon_L443_ *)
% 0.92/1.14 assert (zenon_L444_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H1b9 zenon_H38 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_L333_); trivial.
% 0.92/1.14 apply (zenon_L397_); trivial.
% 0.92/1.14 (* end of lemma zenon_L444_ *)
% 0.92/1.14 assert (zenon_L445_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H1b9 zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L444_); trivial.
% 0.92/1.14 apply (zenon_L335_); trivial.
% 0.92/1.14 (* end of lemma zenon_L445_ *)
% 0.92/1.14 assert (zenon_L446_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L390_); trivial.
% 0.92/1.14 apply (zenon_L239_); trivial.
% 0.92/1.14 (* end of lemma zenon_L446_ *)
% 0.92/1.14 assert (zenon_L447_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L151_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_L387_); trivial.
% 0.92/1.14 apply (zenon_L260_); trivial.
% 0.92/1.14 (* end of lemma zenon_L447_ *)
% 0.92/1.14 assert (zenon_L448_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H1b9 zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L444_); trivial.
% 0.92/1.14 apply (zenon_L361_); trivial.
% 0.92/1.14 (* end of lemma zenon_L448_ *)
% 0.92/1.14 assert (zenon_L449_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H5f zenon_H38 zenon_H1bd zenon_H1ec zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5a zenon_H11f zenon_H121 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L388_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_L387_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L165_); trivial.
% 0.92/1.14 apply (zenon_L328_); trivial.
% 0.92/1.14 apply (zenon_L332_); trivial.
% 0.92/1.14 apply (zenon_L246_); trivial.
% 0.92/1.14 (* end of lemma zenon_L449_ *)
% 0.92/1.14 assert (zenon_L450_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H20e zenon_H261 zenon_H25f zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_He0 zenon_Ha1 zenon_H25d zenon_Hec zenon_H8d zenon_Hee zenon_H14c zenon_H14a zenon_Hc0 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.14 apply (zenon_L416_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L417_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L383_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L374_); trivial.
% 0.92/1.14 apply (zenon_L94_); trivial.
% 0.92/1.14 apply (zenon_L50_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 apply (zenon_L100_); trivial.
% 0.92/1.14 apply (zenon_L120_); trivial.
% 0.92/1.14 apply (zenon_L143_); trivial.
% 0.92/1.14 (* end of lemma zenon_L450_ *)
% 0.92/1.14 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H261 zenon_H25f zenon_H2d zenon_H238 zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H22b zenon_H1b1 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H176 zenon_H188 zenon_Hf6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_L333_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L127_); trivial.
% 0.92/1.14 apply (zenon_L429_); trivial.
% 0.92/1.14 apply (zenon_L207_); trivial.
% 0.92/1.14 apply (zenon_L379_); trivial.
% 0.92/1.14 (* end of lemma zenon_L451_ *)
% 0.92/1.14 assert (zenon_L452_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H25 zenon_Ha zenon_H4d zenon_H270 zenon_H271.
% 0.92/1.14 generalize (zenon_H25 (a6)). zenon_intro zenon_H272.
% 0.92/1.14 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ].
% 0.92/1.14 exact (zenon_H9 zenon_Ha).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ].
% 0.92/1.14 generalize (zenon_H4d (a6)). zenon_intro zenon_H276.
% 0.92/1.14 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ].
% 0.92/1.14 exact (zenon_H9 zenon_Ha).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ].
% 0.92/1.14 exact (zenon_H279 zenon_H270).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ].
% 0.92/1.14 exact (zenon_H27b zenon_H275).
% 0.92/1.14 exact (zenon_H27a zenon_H271).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H279 | zenon_intro zenon_H27a ].
% 0.92/1.14 exact (zenon_H279 zenon_H270).
% 0.92/1.14 exact (zenon_H27a zenon_H271).
% 0.92/1.14 (* end of lemma zenon_L452_ *)
% 0.92/1.14 assert (zenon_L453_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp19)) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H32 zenon_H8b zenon_H89 zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H2f zenon_H1.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4d | zenon_intro zenon_H8e ].
% 0.92/1.14 apply (zenon_L452_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8a | zenon_intro zenon_H8c ].
% 0.92/1.14 exact (zenon_H89 zenon_H8a).
% 0.92/1.14 exact (zenon_H8b zenon_H8c).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.14 exact (zenon_H2f zenon_H30).
% 0.92/1.14 exact (zenon_H1 zenon_H2).
% 0.92/1.14 (* end of lemma zenon_L453_ *)
% 0.92/1.14 assert (zenon_L454_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8b zenon_H8d zenon_H9a zenon_H9d zenon_Ha1.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.14 apply (zenon_L453_); trivial.
% 0.92/1.14 apply (zenon_L41_); trivial.
% 0.92/1.14 apply (zenon_L44_); trivial.
% 0.92/1.14 (* end of lemma zenon_L454_ *)
% 0.92/1.14 assert (zenon_L455_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L454_); trivial.
% 0.92/1.14 apply (zenon_L28_); trivial.
% 0.92/1.14 (* end of lemma zenon_L455_ *)
% 0.92/1.14 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_L455_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 (* end of lemma zenon_L456_ *)
% 0.92/1.14 assert (zenon_L457_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_H43 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L454_); trivial.
% 0.92/1.14 apply (zenon_L50_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 apply (zenon_L456_); trivial.
% 0.92/1.14 (* end of lemma zenon_L457_ *)
% 0.92/1.14 assert (zenon_L458_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L457_); trivial.
% 0.92/1.14 apply (zenon_L114_); trivial.
% 0.92/1.14 (* end of lemma zenon_L458_ *)
% 0.92/1.14 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H87 zenon_H85 zenon_H14c zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L457_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L454_); trivial.
% 0.92/1.14 apply (zenon_L106_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 (* end of lemma zenon_L459_ *)
% 0.92/1.14 assert (zenon_L460_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_L455_); trivial.
% 0.92/1.14 apply (zenon_L232_); trivial.
% 0.92/1.14 (* end of lemma zenon_L460_ *)
% 0.92/1.14 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_Hc4 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_L79_); trivial.
% 0.92/1.14 apply (zenon_L460_); trivial.
% 0.92/1.14 (* end of lemma zenon_L461_ *)
% 0.92/1.14 assert (zenon_L462_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L458_); trivial.
% 0.92/1.14 apply (zenon_L459_); trivial.
% 0.92/1.14 apply (zenon_L461_); trivial.
% 0.92/1.14 (* end of lemma zenon_L462_ *)
% 0.92/1.14 assert (zenon_L463_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H170 zenon_Ha zenon_H107 zenon_H27c zenon_H271 zenon_H270.
% 0.92/1.14 generalize (zenon_H170 (a6)). zenon_intro zenon_H27d.
% 0.92/1.14 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ].
% 0.92/1.14 exact (zenon_H9 zenon_Ha).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H275 | zenon_intro zenon_H27f ].
% 0.92/1.14 generalize (zenon_H107 (a6)). zenon_intro zenon_H280.
% 0.92/1.14 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H9 | zenon_intro zenon_H281 ].
% 0.92/1.14 exact (zenon_H9 zenon_Ha).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H282 | zenon_intro zenon_H278 ].
% 0.92/1.14 exact (zenon_H27c zenon_H282).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ].
% 0.92/1.14 exact (zenon_H27b zenon_H275).
% 0.92/1.14 exact (zenon_H27a zenon_H271).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H282 | zenon_intro zenon_H279 ].
% 0.92/1.14 exact (zenon_H27c zenon_H282).
% 0.92/1.14 exact (zenon_H279 zenon_H270).
% 0.92/1.14 (* end of lemma zenon_L463_ *)
% 0.92/1.14 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp12)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H138 zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H85.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ].
% 0.92/1.14 apply (zenon_L6_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ].
% 0.92/1.14 apply (zenon_L132_); trivial.
% 0.92/1.14 exact (zenon_H85 zenon_H86).
% 0.92/1.14 (* end of lemma zenon_L464_ *)
% 0.92/1.14 assert (zenon_L465_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H5a zenon_H271 zenon_H270 zenon_Ha zenon_H25 zenon_H57 zenon_H3.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ].
% 0.92/1.14 apply (zenon_L452_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ].
% 0.92/1.14 exact (zenon_H57 zenon_H58).
% 0.92/1.14 exact (zenon_H3 zenon_H4).
% 0.92/1.14 (* end of lemma zenon_L465_ *)
% 0.92/1.14 assert (zenon_L466_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp24)) -> (~(hskp14)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp2)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H283 zenon_H17e zenon_H17d zenon_H17c zenon_H3 zenon_H57 zenon_Ha zenon_H270 zenon_H271 zenon_H5a zenon_H2d.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H132 | zenon_intro zenon_H284 ].
% 0.92/1.14 apply (zenon_L136_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H25 | zenon_intro zenon_H2e ].
% 0.92/1.14 apply (zenon_L465_); trivial.
% 0.92/1.14 exact (zenon_H2d zenon_H2e).
% 0.92/1.14 (* end of lemma zenon_L466_ *)
% 0.92/1.14 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L466_); trivial.
% 0.92/1.14 apply (zenon_L137_); trivial.
% 0.92/1.14 (* end of lemma zenon_L467_ *)
% 0.92/1.14 assert (zenon_L468_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H176 zenon_H27c zenon_H271 zenon_H270 zenon_H45 zenon_H111 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H38 zenon_H5f.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L25_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H107 | zenon_intro zenon_H46 ].
% 0.92/1.14 apply (zenon_L463_); trivial.
% 0.92/1.14 exact (zenon_H45 zenon_H46).
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ].
% 0.92/1.14 exact (zenon_H15 zenon_H16).
% 0.92/1.14 exact (zenon_H174 zenon_H175).
% 0.92/1.14 apply (zenon_L464_); trivial.
% 0.92/1.14 apply (zenon_L467_); trivial.
% 0.92/1.14 (* end of lemma zenon_L468_ *)
% 0.92/1.14 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H18a zenon_H151 zenon_H166 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H111 zenon_H270 zenon_H271 zenon_H27c zenon_H176 zenon_H49 zenon_H5a zenon_H5e zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_H188 zenon_H47 zenon_H14c zenon_H87 zenon_Hf5 zenon_H106.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_L468_); trivial.
% 0.92/1.14 apply (zenon_L456_); trivial.
% 0.92/1.14 apply (zenon_L459_); trivial.
% 0.92/1.14 apply (zenon_L461_); trivial.
% 0.92/1.14 (* end of lemma zenon_L469_ *)
% 0.92/1.14 assert (zenon_L470_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H19a zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H188 zenon_H17a zenon_H2d zenon_H283 zenon_H176 zenon_H27c zenon_H138 zenon_H19b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L462_); trivial.
% 0.92/1.14 apply (zenon_L469_); trivial.
% 0.92/1.14 apply (zenon_L147_); trivial.
% 0.92/1.14 (* end of lemma zenon_L470_ *)
% 0.92/1.14 assert (zenon_L471_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H271 zenon_H270 zenon_H25 zenon_H90 zenon_H91 zenon_H8f zenon_H112 zenon_Ha zenon_H1.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ].
% 0.92/1.14 apply (zenon_L452_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ].
% 0.92/1.14 apply (zenon_L110_); trivial.
% 0.92/1.14 exact (zenon_H1 zenon_H2).
% 0.92/1.14 (* end of lemma zenon_L471_ *)
% 0.92/1.14 assert (zenon_L472_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H32 zenon_H271 zenon_H270 zenon_H4d zenon_Ha zenon_H2f zenon_H1.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ].
% 0.92/1.14 apply (zenon_L452_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ].
% 0.92/1.14 exact (zenon_H2f zenon_H30).
% 0.92/1.14 exact (zenon_H1 zenon_H2).
% 0.92/1.14 (* end of lemma zenon_L472_ *)
% 0.92/1.14 assert (zenon_L473_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H1b1 zenon_H112 zenon_H8f zenon_H91 zenon_H90 zenon_H285 zenon_H1 zenon_H2f zenon_H270 zenon_H271 zenon_H32 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.14 apply (zenon_L471_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.14 apply (zenon_L472_); trivial.
% 0.92/1.14 apply (zenon_L46_); trivial.
% 0.92/1.14 (* end of lemma zenon_L473_ *)
% 0.92/1.14 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> (~(hskp19)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H11a zenon_H32 zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H285 zenon_H90 zenon_H91 zenon_H8f zenon_H1b1 zenon_H17 zenon_H8b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ].
% 0.92/1.14 apply (zenon_L473_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ].
% 0.92/1.14 exact (zenon_H17 zenon_H18).
% 0.92/1.14 exact (zenon_H8b zenon_H8c).
% 0.92/1.14 (* end of lemma zenon_L474_ *)
% 0.92/1.14 assert (zenon_L475_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L25_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.14 apply (zenon_L453_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.14 apply (zenon_L9_); trivial.
% 0.92/1.14 apply (zenon_L474_); trivial.
% 0.92/1.14 apply (zenon_L50_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 apply (zenon_L124_); trivial.
% 0.92/1.14 apply (zenon_L114_); trivial.
% 0.92/1.14 (* end of lemma zenon_L475_ *)
% 0.92/1.14 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H2b zenon_H14c zenon_H166 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H162 zenon_H38 zenon_H5f zenon_Hf6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L4_); trivial.
% 0.92/1.14 apply (zenon_L118_); trivial.
% 0.92/1.14 apply (zenon_L50_); trivial.
% 0.92/1.14 apply (zenon_L124_); trivial.
% 0.92/1.14 apply (zenon_L120_); trivial.
% 0.92/1.14 (* end of lemma zenon_L476_ *)
% 0.92/1.14 assert (zenon_L477_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6 zenon_H162 zenon_H5 zenon_H7 zenon_H166 zenon_H14c zenon_H106.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L475_); trivial.
% 0.92/1.14 apply (zenon_L476_); trivial.
% 0.92/1.14 apply (zenon_L125_); trivial.
% 0.92/1.14 (* end of lemma zenon_L477_ *)
% 0.92/1.14 assert (zenon_L478_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H5f zenon_H287 zenon_H270 zenon_H271 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L4_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hb | zenon_intro zenon_H288 ].
% 0.92/1.14 apply (zenon_L6_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H4d | zenon_intro zenon_H6 ].
% 0.92/1.14 apply (zenon_L472_); trivial.
% 0.92/1.14 exact (zenon_H5 zenon_H6).
% 0.92/1.14 apply (zenon_L50_); trivial.
% 0.92/1.14 apply (zenon_L100_); trivial.
% 0.92/1.14 (* end of lemma zenon_L478_ *)
% 0.92/1.14 assert (zenon_L479_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H85 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H141 zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L478_); trivial.
% 0.92/1.14 apply (zenon_L72_); trivial.
% 0.92/1.14 (* end of lemma zenon_L479_ *)
% 0.92/1.14 assert (zenon_L480_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14c zenon_H166 zenon_H7 zenon_H5 zenon_H162 zenon_Hf6 zenon_H141 zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H49 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H19 zenon_H1b1 zenon_H285 zenon_H11a zenon_H38 zenon_Ha1 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H111 zenon_H151.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_L477_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L479_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L478_); trivial.
% 0.92/1.14 apply (zenon_L120_); trivial.
% 0.92/1.14 apply (zenon_L125_); trivial.
% 0.92/1.14 (* end of lemma zenon_L480_ *)
% 0.92/1.14 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Ha1 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_H38 zenon_Hae.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.14 apply (zenon_L253_); trivial.
% 0.92/1.14 apply (zenon_L163_); trivial.
% 0.92/1.14 apply (zenon_L394_); trivial.
% 0.92/1.14 (* end of lemma zenon_L481_ *)
% 0.92/1.14 assert (zenon_L482_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H1aa zenon_H14c zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L151_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L86_); trivial.
% 0.92/1.14 apply (zenon_L481_); trivial.
% 0.92/1.14 (* end of lemma zenon_L482_ *)
% 0.92/1.14 assert (zenon_L483_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H1b1 zenon_H3 zenon_H57 zenon_H270 zenon_H271 zenon_H5a zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.14 apply (zenon_L465_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.14 apply (zenon_L201_); trivial.
% 0.92/1.14 apply (zenon_L46_); trivial.
% 0.92/1.14 (* end of lemma zenon_L483_ *)
% 0.92/1.14 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24b zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H1bd zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_Hd1.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.14 apply (zenon_L365_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.14 apply (zenon_L483_); trivial.
% 0.92/1.14 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.14 (* end of lemma zenon_L484_ *)
% 0.92/1.14 assert (zenon_L485_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H3 zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.14 apply (zenon_L159_); trivial.
% 0.92/1.14 apply (zenon_L484_); trivial.
% 0.92/1.14 (* end of lemma zenon_L485_ *)
% 0.92/1.14 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp4)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24b zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H1b1 zenon_H1bd zenon_He zenon_Hd zenon_Hc zenon_Hd1.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.14 apply (zenon_L369_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.14 apply (zenon_L6_); trivial.
% 0.92/1.14 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.14 (* end of lemma zenon_L486_ *)
% 0.92/1.14 assert (zenon_L487_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H19 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L86_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.14 apply (zenon_L485_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.14 apply (zenon_L9_); trivial.
% 0.92/1.14 apply (zenon_L486_); trivial.
% 0.92/1.14 apply (zenon_L170_); trivial.
% 0.92/1.14 (* end of lemma zenon_L487_ *)
% 0.92/1.14 assert (zenon_L488_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H121 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 0.92/1.14 apply (zenon_L302_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 0.92/1.14 apply (zenon_L150_); trivial.
% 0.92/1.14 exact (zenon_H11f zenon_H120).
% 0.92/1.14 (* end of lemma zenon_L488_ *)
% 0.92/1.14 assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hc4 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H121 zenon_H11f zenon_H17 zenon_H11a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H24d zenon_H72 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L282_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L155_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.14 apply (zenon_L488_); trivial.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.14 apply (zenon_L56_); trivial.
% 0.92/1.14 apply (zenon_L78_); trivial.
% 0.92/1.14 apply (zenon_L402_); trivial.
% 0.92/1.14 (* end of lemma zenon_L489_ *)
% 0.92/1.14 assert (zenon_L490_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H17 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.14 apply (zenon_L458_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.14 apply (zenon_L457_); trivial.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L454_); trivial.
% 0.92/1.14 apply (zenon_L244_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 (* end of lemma zenon_L490_ *)
% 0.92/1.14 assert (zenon_L491_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H72.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.14 apply (zenon_L454_); trivial.
% 0.92/1.14 apply (zenon_L238_); trivial.
% 0.92/1.14 apply (zenon_L54_); trivial.
% 0.92/1.14 (* end of lemma zenon_L491_ *)
% 0.92/1.14 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_H6e zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L491_); trivial.
% 0.92/1.14 apply (zenon_L461_); trivial.
% 0.92/1.14 (* end of lemma zenon_L492_ *)
% 0.92/1.14 assert (zenon_L493_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.14 do 0 intro. intros zenon_H20e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1bb zenon_H19b.
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.14 apply (zenon_L490_); trivial.
% 0.92/1.14 apply (zenon_L461_); trivial.
% 0.92/1.14 apply (zenon_L492_); trivial.
% 0.92/1.14 apply (zenon_L247_); trivial.
% 0.92/1.14 (* end of lemma zenon_L493_ *)
% 0.92/1.14 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_L155_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.15 apply (zenon_L436_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.15 apply (zenon_L56_); trivial.
% 0.92/1.15 apply (zenon_L78_); trivial.
% 0.92/1.15 (* end of lemma zenon_L494_ *)
% 0.92/1.15 assert (zenon_L495_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H24d zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_L86_); trivial.
% 0.92/1.15 apply (zenon_L494_); trivial.
% 0.92/1.15 (* end of lemma zenon_L495_ *)
% 0.92/1.15 assert (zenon_L496_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_L457_); trivial.
% 0.92/1.15 apply (zenon_L281_); trivial.
% 0.92/1.15 (* end of lemma zenon_L496_ *)
% 0.92/1.15 assert (zenon_L497_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.15 apply (zenon_L496_); trivial.
% 0.92/1.15 apply (zenon_L461_); trivial.
% 0.92/1.15 (* end of lemma zenon_L497_ *)
% 0.92/1.15 assert (zenon_L498_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H20e zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14c zenon_H7 zenon_H5 zenon_H162 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H1b1 zenon_H285 zenon_H11a zenon_H5f zenon_H14a zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.15 apply (zenon_L497_); trivial.
% 0.92/1.15 apply (zenon_L480_); trivial.
% 0.92/1.15 (* end of lemma zenon_L498_ *)
% 0.92/1.15 assert (zenon_L499_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_H123 zenon_H76 zenon_H77.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 0.92/1.15 apply (zenon_L17_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 0.92/1.15 apply (zenon_L126_); trivial.
% 0.92/1.15 apply (zenon_L87_); trivial.
% 0.92/1.15 (* end of lemma zenon_L499_ *)
% 0.92/1.15 assert (zenon_L500_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp29)) -> (~(hskp5)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H127 zenon_H77 zenon_H76 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H89 zenon_H5.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ].
% 0.92/1.15 apply (zenon_L499_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ].
% 0.92/1.15 exact (zenon_H89 zenon_H8a).
% 0.92/1.15 exact (zenon_H5 zenon_H6).
% 0.92/1.15 (* end of lemma zenon_L500_ *)
% 0.92/1.15 assert (zenon_L501_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H24b zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 0.92/1.15 apply (zenon_L499_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 0.92/1.15 apply (zenon_L305_); trivial.
% 0.92/1.15 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.15 (* end of lemma zenon_L501_ *)
% 0.92/1.15 assert (zenon_L502_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H107 zenon_Ha zenon_H15 zenon_H174.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ].
% 0.92/1.15 apply (zenon_L463_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ].
% 0.92/1.15 exact (zenon_H15 zenon_H16).
% 0.92/1.15 exact (zenon_H174 zenon_H175).
% 0.92/1.15 (* end of lemma zenon_L502_ *)
% 0.92/1.15 assert (zenon_L503_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H24d zenon_H2d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H8f zenon_H91 zenon_H90 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H15a zenon_H15b zenon_H159 zenon_H238 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_H74 zenon_H76 zenon_H77 zenon_H24b zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_Ha zenon_H15 zenon_H174.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.15 apply (zenon_L304_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.15 apply (zenon_L501_); trivial.
% 0.92/1.15 apply (zenon_L502_); trivial.
% 0.92/1.15 (* end of lemma zenon_L503_ *)
% 0.92/1.15 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H22b zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H2b zenon_H14a zenon_Hc0 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_L155_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L500_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L503_); trivial.
% 0.92/1.15 apply (zenon_L177_); trivial.
% 0.92/1.15 apply (zenon_L313_); trivial.
% 0.92/1.15 (* end of lemma zenon_L504_ *)
% 0.92/1.15 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp1)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H236 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_H234.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ].
% 0.92/1.15 apply (zenon_L291_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ].
% 0.92/1.15 apply (zenon_L483_); trivial.
% 0.92/1.15 exact (zenon_H234 zenon_H235).
% 0.92/1.15 (* end of lemma zenon_L505_ *)
% 0.92/1.15 assert (zenon_L506_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L176_); trivial.
% 0.92/1.15 apply (zenon_L505_); trivial.
% 0.92/1.15 (* end of lemma zenon_L506_ *)
% 0.92/1.15 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_L466_); trivial.
% 0.92/1.15 apply (zenon_L221_); trivial.
% 0.92/1.15 (* end of lemma zenon_L507_ *)
% 0.92/1.15 assert (zenon_L508_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_L188_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_L506_); trivial.
% 0.92/1.15 apply (zenon_L315_); trivial.
% 0.92/1.15 apply (zenon_L507_); trivial.
% 0.92/1.15 (* end of lemma zenon_L508_ *)
% 0.92/1.15 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H14e zenon_H189 zenon_H24b zenon_H238 zenon_H14c zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24d zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_H234 zenon_H236 zenon_H38 zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_L508_); trivial.
% 0.92/1.15 apply (zenon_L156_); trivial.
% 0.92/1.15 apply (zenon_L297_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_L508_); trivial.
% 0.92/1.15 apply (zenon_L319_); trivial.
% 0.92/1.15 apply (zenon_L309_); trivial.
% 0.92/1.15 (* end of lemma zenon_L509_ *)
% 0.92/1.15 assert (zenon_L510_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_Ha zenon_H15 zenon_H174.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.15 apply (zenon_L331_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.15 apply (zenon_L56_); trivial.
% 0.92/1.15 apply (zenon_L502_); trivial.
% 0.92/1.15 (* end of lemma zenon_L510_ *)
% 0.92/1.15 assert (zenon_L511_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H5f zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H19 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H174 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H1b1 zenon_H2f zenon_H32 zenon_H1 zenon_H285 zenon_H17 zenon_H11a zenon_H38 zenon_Ha1.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L37_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L510_); trivial.
% 0.92/1.15 apply (zenon_L474_); trivial.
% 0.92/1.15 apply (zenon_L118_); trivial.
% 0.92/1.15 (* end of lemma zenon_L511_ *)
% 0.92/1.15 assert (zenon_L512_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H141 zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15b zenon_H15a zenon_H159 zenon_H285 zenon_H1 zenon_H1b9 zenon_Ha1.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L37_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.15 apply (zenon_L21_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.15 apply (zenon_L116_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ].
% 0.92/1.15 apply (zenon_L22_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ].
% 0.92/1.15 apply (zenon_L110_); trivial.
% 0.92/1.15 exact (zenon_H1 zenon_H2).
% 0.92/1.15 apply (zenon_L136_); trivial.
% 0.92/1.15 apply (zenon_L221_); trivial.
% 0.92/1.15 (* end of lemma zenon_L512_ *)
% 0.92/1.15 assert (zenon_L513_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H11a zenon_H17 zenon_H285 zenon_H32 zenon_H2f zenon_H1b1 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H19 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5f zenon_H47 zenon_H72 zenon_Hf6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_L511_); trivial.
% 0.92/1.15 apply (zenon_L512_); trivial.
% 0.92/1.15 apply (zenon_L50_); trivial.
% 0.92/1.15 apply (zenon_L54_); trivial.
% 0.92/1.15 apply (zenon_L124_); trivial.
% 0.92/1.15 apply (zenon_L120_); trivial.
% 0.92/1.15 (* end of lemma zenon_L513_ *)
% 0.92/1.15 assert (zenon_L514_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6 zenon_H162 zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H1b9 zenon_H85 zenon_H138 zenon_H188 zenon_H166 zenon_H14c zenon_H106.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_L475_); trivial.
% 0.92/1.15 apply (zenon_L513_); trivial.
% 0.92/1.15 apply (zenon_L125_); trivial.
% 0.92/1.15 (* end of lemma zenon_L514_ *)
% 0.92/1.15 assert (zenon_L515_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a29)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H20c zenon_H15b zenon_H15a zenon_H159 zenon_H77 zenon_Hb6 zenon_H74 zenon_Ha zenon_H1.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ].
% 0.92/1.15 apply (zenon_L115_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ].
% 0.92/1.15 apply (zenon_L119_); trivial.
% 0.92/1.15 exact (zenon_H1 zenon_H2).
% 0.92/1.15 (* end of lemma zenon_L515_ *)
% 0.92/1.15 assert (zenon_L516_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (~(hskp8)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H141 zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_H142 zenon_H2f.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ].
% 0.92/1.15 apply (zenon_L103_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ].
% 0.92/1.15 apply (zenon_L98_); trivial.
% 0.92/1.15 exact (zenon_H43 zenon_H44).
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.15 apply (zenon_L103_); trivial.
% 0.92/1.15 exact (zenon_H2f zenon_H30).
% 0.92/1.15 (* end of lemma zenon_L516_ *)
% 0.92/1.15 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H43 zenon_H141 zenon_H32 zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H285 zenon_H90 zenon_H91 zenon_H8f zenon_H1b1 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.15 apply (zenon_L516_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.15 apply (zenon_L473_); trivial.
% 0.92/1.15 apply (zenon_L132_); trivial.
% 0.92/1.15 (* end of lemma zenon_L517_ *)
% 0.92/1.15 assert (zenon_L518_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Ha1 zenon_H1b9 zenon_H17e zenon_H17d zenon_H17c zenon_H285 zenon_H1 zenon_H271 zenon_H270 zenon_H32 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L37_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.15 apply (zenon_L116_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.15 apply (zenon_L471_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.15 apply (zenon_L472_); trivial.
% 0.92/1.15 apply (zenon_L110_); trivial.
% 0.92/1.15 apply (zenon_L136_); trivial.
% 0.92/1.15 (* end of lemma zenon_L518_ *)
% 0.92/1.15 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H141 zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H32 zenon_H270 zenon_H271 zenon_H1 zenon_H285 zenon_H1b9 zenon_Ha1.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_L518_); trivial.
% 0.92/1.15 apply (zenon_L221_); trivial.
% 0.92/1.15 (* end of lemma zenon_L519_ *)
% 0.92/1.15 assert (zenon_L520_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H49 zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H1b1 zenon_H285 zenon_H14a zenon_H2b zenon_H1b9 zenon_H38 zenon_Ha1 zenon_H47 zenon_H72 zenon_Hf6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L453_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L510_); trivial.
% 0.92/1.15 apply (zenon_L517_); trivial.
% 0.92/1.15 apply (zenon_L519_); trivial.
% 0.92/1.15 apply (zenon_L50_); trivial.
% 0.92/1.15 apply (zenon_L54_); trivial.
% 0.92/1.15 apply (zenon_L100_); trivial.
% 0.92/1.15 apply (zenon_L120_); trivial.
% 0.92/1.15 (* end of lemma zenon_L520_ *)
% 0.92/1.15 assert (zenon_L521_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H199 zenon_H19a zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H141 zenon_Hf6 zenon_H162 zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H1b9 zenon_H85 zenon_H138 zenon_H188 zenon_H166 zenon_H14c zenon_H106 zenon_He0 zenon_H283 zenon_H2d zenon_H17a zenon_H33 zenon_H20c zenon_H1bb zenon_H87 zenon_H19b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.15 apply (zenon_L514_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_L468_); trivial.
% 0.92/1.15 apply (zenon_L100_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ].
% 0.92/1.15 apply (zenon_L515_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.92/1.15 exact (zenon_H15 zenon_H16).
% 0.92/1.15 exact (zenon_H2f zenon_H30).
% 0.92/1.15 apply (zenon_L15_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ].
% 0.92/1.15 apply (zenon_L190_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ].
% 0.92/1.15 exact (zenon_H85 zenon_H86).
% 0.92/1.15 exact (zenon_H2f zenon_H30).
% 0.92/1.15 apply (zenon_L520_); trivial.
% 0.92/1.15 apply (zenon_L125_); trivial.
% 0.92/1.15 apply (zenon_L147_); trivial.
% 0.92/1.15 (* end of lemma zenon_L521_ *)
% 0.92/1.15 assert (zenon_L522_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L510_); trivial.
% 0.92/1.15 apply (zenon_L48_); trivial.
% 0.92/1.15 apply (zenon_L313_); trivial.
% 0.92/1.15 (* end of lemma zenon_L522_ *)
% 0.92/1.15 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H2b zenon_H14a zenon_H38.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L510_); trivial.
% 0.92/1.15 apply (zenon_L105_); trivial.
% 0.92/1.15 apply (zenon_L313_); trivial.
% 0.92/1.15 (* end of lemma zenon_L523_ *)
% 0.92/1.15 assert (zenon_L524_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H2b zenon_Hc0 zenon_H188.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_L522_); trivial.
% 0.92/1.15 apply (zenon_L523_); trivial.
% 0.92/1.15 (* end of lemma zenon_L524_ *)
% 0.92/1.15 assert (zenon_L525_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H106 zenon_Hb4 zenon_Hb2 zenon_H252 zenon_H253 zenon_H254 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bb zenon_H14c zenon_Hf5.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_L187_); trivial.
% 0.92/1.15 apply (zenon_L524_); trivial.
% 0.92/1.15 (* end of lemma zenon_L525_ *)
% 0.92/1.15 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(hskp21)) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H59 zenon_H285 zenon_H1e zenon_H1d zenon_H26 zenon_H1.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ].
% 0.92/1.15 apply (zenon_L22_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ].
% 0.92/1.15 apply (zenon_L46_); trivial.
% 0.92/1.15 exact (zenon_H1 zenon_H2).
% 0.92/1.15 (* end of lemma zenon_L526_ *)
% 0.92/1.15 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H5e zenon_H285 zenon_H1 zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.15 apply (zenon_L21_); trivial.
% 0.92/1.15 apply (zenon_L526_); trivial.
% 0.92/1.15 (* end of lemma zenon_L527_ *)
% 0.92/1.15 assert (zenon_L528_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H174 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.15 apply (zenon_L37_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.15 apply (zenon_L331_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.15 apply (zenon_L317_); trivial.
% 0.92/1.15 apply (zenon_L502_); trivial.
% 0.92/1.15 apply (zenon_L527_); trivial.
% 0.92/1.15 (* end of lemma zenon_L528_ *)
% 0.92/1.15 assert (zenon_L529_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H5f zenon_H43 zenon_H45 zenon_H47 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H174 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H285 zenon_H38 zenon_Ha1.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_L528_); trivial.
% 0.92/1.15 apply (zenon_L174_); trivial.
% 0.92/1.15 (* end of lemma zenon_L529_ *)
% 0.92/1.15 assert (zenon_L530_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H47 zenon_H5f zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_L529_); trivial.
% 0.92/1.15 apply (zenon_L313_); trivial.
% 0.92/1.15 apply (zenon_L50_); trivial.
% 0.92/1.15 apply (zenon_L54_); trivial.
% 0.92/1.15 apply (zenon_L62_); trivial.
% 0.92/1.15 apply (zenon_L523_); trivial.
% 0.92/1.15 (* end of lemma zenon_L530_ *)
% 0.92/1.15 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H18a zenon_H151 zenon_H201 zenon_H1bd zenon_H202 zenon_H1ec zenon_H1b1 zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H106 zenon_Hb4 zenon_H252 zenon_H253 zenon_H254 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_He0 zenon_H1b9 zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bb zenon_H14c zenon_Hf5 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H8d zenon_H285 zenon_Ha1 zenon_Hc4 zenon_H189.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.15 apply (zenon_L525_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_L187_); trivial.
% 0.92/1.15 apply (zenon_L530_); trivial.
% 0.92/1.15 apply (zenon_L339_); trivial.
% 0.92/1.15 (* end of lemma zenon_L531_ *)
% 0.92/1.15 assert (zenon_L532_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_Ha1 zenon_H285 zenon_H8d zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf5 zenon_H14c zenon_H1bb zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H18d zenon_H18e zenon_H18f zenon_H11f zenon_H121 zenon_H188 zenon_Hf6 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H106.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_L342_); trivial.
% 0.92/1.15 apply (zenon_L524_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_L342_); trivial.
% 0.92/1.15 apply (zenon_L530_); trivial.
% 0.92/1.15 (* end of lemma zenon_L532_ *)
% 0.92/1.15 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a65))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.15 apply (zenon_L202_); trivial.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.15 apply (zenon_L152_); trivial.
% 0.92/1.15 apply (zenon_L326_); trivial.
% 0.92/1.15 (* end of lemma zenon_L533_ *)
% 0.92/1.15 assert (zenon_L534_ : ((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H1ee zenon_H38 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L176_); trivial.
% 0.92/1.15 apply (zenon_L533_); trivial.
% 0.92/1.15 (* end of lemma zenon_L534_ *)
% 0.92/1.15 assert (zenon_L535_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp18)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H202 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H10a zenon_H1b1 zenon_H38 zenon_H1bf zenon_H108 zenon_H109 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176 zenon_H1c3 zenon_H1c8 zenon_H1d6.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ].
% 0.92/1.15 apply (zenon_L199_); trivial.
% 0.92/1.15 apply (zenon_L534_); trivial.
% 0.92/1.15 (* end of lemma zenon_L535_ *)
% 0.92/1.15 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H12a zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H14c zenon_H5f zenon_Hf5.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.15 apply (zenon_L79_); trivial.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ].
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.15 apply (zenon_L535_); trivial.
% 0.92/1.15 apply (zenon_L207_); trivial.
% 0.92/1.15 apply (zenon_L211_); trivial.
% 0.92/1.15 apply (zenon_L338_); trivial.
% 0.92/1.15 apply (zenon_L332_); trivial.
% 0.92/1.15 (* end of lemma zenon_L536_ *)
% 0.92/1.15 assert (zenon_L537_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H60 zenon_H38 zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.15 apply (zenon_L254_); trivial.
% 0.92/1.15 apply (zenon_L134_); trivial.
% 0.92/1.15 (* end of lemma zenon_L537_ *)
% 0.92/1.15 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.15 apply (zenon_L356_); trivial.
% 0.92/1.15 apply (zenon_L137_); trivial.
% 0.92/1.15 (* end of lemma zenon_L538_ *)
% 0.92/1.15 assert (zenon_L539_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H188 zenon_H1b1 zenon_H9a zenon_H9d zenon_Hae zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H178 zenon_H17a zenon_H5f.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.16 apply (zenon_L528_); trivial.
% 0.92/1.16 apply (zenon_L537_); trivial.
% 0.92/1.16 apply (zenon_L538_); trivial.
% 0.92/1.16 (* end of lemma zenon_L539_ *)
% 0.92/1.16 assert (zenon_L540_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_H1b1 zenon_H9a zenon_H9d zenon_Hae zenon_Ha1 zenon_H285 zenon_H8d zenon_H14c zenon_H178 zenon_H17a zenon_H72 zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H38 zenon_H14a zenon_Hf5 zenon_H106.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L350_); trivial.
% 0.92/1.16 apply (zenon_L524_); trivial.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.16 apply (zenon_L539_); trivial.
% 0.92/1.16 apply (zenon_L238_); trivial.
% 0.92/1.16 apply (zenon_L54_); trivial.
% 0.92/1.16 (* end of lemma zenon_L540_ *)
% 0.92/1.16 assert (zenon_L541_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bd zenon_H202 zenon_H1ec zenon_H1bf zenon_He0 zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H106 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_Hc0 zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_H162 zenon_H5f zenon_H72 zenon_H17a zenon_H178 zenon_H14c zenon_H8d zenon_H285 zenon_Ha1 zenon_Hae zenon_H9d zenon_H9a zenon_H1b1 zenon_Hc4 zenon_H189.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_L540_); trivial.
% 0.92/1.16 apply (zenon_L364_); trivial.
% 0.92/1.16 (* end of lemma zenon_L541_ *)
% 0.92/1.16 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H59 zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H205 zenon_H204 zenon_H203.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.16 apply (zenon_L145_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.16 apply (zenon_L237_); trivial.
% 0.92/1.16 apply (zenon_L22_); trivial.
% 0.92/1.16 (* end of lemma zenon_L542_ *)
% 0.92/1.16 assert (zenon_L543_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H3 zenon_H49.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 0.92/1.16 apply (zenon_L21_); trivial.
% 0.92/1.16 apply (zenon_L542_); trivial.
% 0.92/1.16 (* end of lemma zenon_L543_ *)
% 0.92/1.16 assert (zenon_L544_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.16 apply (zenon_L543_); trivial.
% 0.92/1.16 apply (zenon_L349_); trivial.
% 0.92/1.16 (* end of lemma zenon_L544_ *)
% 0.92/1.16 assert (zenon_L545_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.16 apply (zenon_L201_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.16 apply (zenon_L152_); trivial.
% 0.92/1.16 apply (zenon_L348_); trivial.
% 0.92/1.16 (* end of lemma zenon_L545_ *)
% 0.92/1.16 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H14e zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H162 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 0.92/1.16 apply (zenon_L145_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 0.92/1.16 apply (zenon_L237_); trivial.
% 0.92/1.16 apply (zenon_L545_); trivial.
% 0.92/1.16 (* end of lemma zenon_L546_ *)
% 0.92/1.16 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H18a zenon_H151 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H5f.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_L544_); trivial.
% 0.92/1.16 apply (zenon_L546_); trivial.
% 0.92/1.16 (* end of lemma zenon_L547_ *)
% 0.92/1.16 assert (zenon_L548_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H1aa zenon_H1bb zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.16 apply (zenon_L220_); trivial.
% 0.92/1.16 apply (zenon_L547_); trivial.
% 0.92/1.16 (* end of lemma zenon_L548_ *)
% 0.92/1.16 assert (zenon_L549_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L383_); trivial.
% 0.92/1.16 apply (zenon_L524_); trivial.
% 0.92/1.16 (* end of lemma zenon_L549_ *)
% 0.92/1.16 assert (zenon_L550_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_Ha1 zenon_H285 zenon_H162 zenon_H8d zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5f zenon_H261 zenon_H25f zenon_H210 zenon_H211 zenon_H212 zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hb4 zenon_H38 zenon_H14a zenon_Hf5 zenon_H106.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.16 apply (zenon_L549_); trivial.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L383_); trivial.
% 0.92/1.16 apply (zenon_L530_); trivial.
% 0.92/1.16 (* end of lemma zenon_L550_ *)
% 0.92/1.16 assert (zenon_L551_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H5f zenon_H261 zenon_H25f zenon_H254 zenon_H253 zenon_H252 zenon_H176 zenon_H174 zenon_Ha zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H234 zenon_H236 zenon_H38.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.16 apply (zenon_L506_); trivial.
% 0.92/1.16 apply (zenon_L382_); trivial.
% 0.92/1.16 (* end of lemma zenon_L551_ *)
% 0.92/1.16 assert (zenon_L552_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H20e zenon_H19b zenon_H1bb zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H5f zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.16 apply (zenon_L497_); trivial.
% 0.92/1.16 apply (zenon_L247_); trivial.
% 0.92/1.16 (* end of lemma zenon_L552_ *)
% 0.92/1.16 assert (zenon_L553_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_L388_); trivial.
% 0.92/1.16 apply (zenon_L461_); trivial.
% 0.92/1.16 (* end of lemma zenon_L553_ *)
% 0.92/1.16 assert (zenon_L554_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H19a zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_Hf5 zenon_H87 zenon_H14c zenon_H47 zenon_H188 zenon_H17a zenon_H2d zenon_H283 zenon_H5e zenon_H5a zenon_H49 zenon_H176 zenon_H27c zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.16 apply (zenon_L553_); trivial.
% 0.92/1.16 apply (zenon_L469_); trivial.
% 0.92/1.16 apply (zenon_L147_); trivial.
% 0.92/1.16 (* end of lemma zenon_L554_ *)
% 0.92/1.16 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H26c zenon_H26d zenon_H263 zenon_H264 zenon_H265 zenon_Hf0 zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H11a zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5 zenon_H5f zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H20c zenon_H141 zenon_H14c zenon_H106 zenon_H1bb zenon_H19b zenon_H20e.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 0.92/1.16 apply (zenon_L552_); trivial.
% 0.92/1.16 apply (zenon_L442_); trivial.
% 0.92/1.16 (* end of lemma zenon_L555_ *)
% 0.92/1.16 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.16 apply (zenon_L152_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.16 apply (zenon_L386_); trivial.
% 0.92/1.16 apply (zenon_L136_); trivial.
% 0.92/1.16 (* end of lemma zenon_L556_ *)
% 0.92/1.16 assert (zenon_L557_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H129 zenon_H133 zenon_He0 zenon_H14a zenon_H12a zenon_H72 zenon_H5f zenon_H43 zenon_H47 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H285 zenon_H38 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hc0 zenon_Hc4.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.16 apply (zenon_L529_); trivial.
% 0.92/1.16 apply (zenon_L556_); trivial.
% 0.92/1.16 apply (zenon_L50_); trivial.
% 0.92/1.16 apply (zenon_L54_); trivial.
% 0.92/1.16 apply (zenon_L397_); trivial.
% 0.92/1.16 (* end of lemma zenon_L557_ *)
% 0.92/1.16 assert (zenon_L558_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H103 zenon_H188 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.16 apply (zenon_L510_); trivial.
% 0.92/1.16 apply (zenon_L396_); trivial.
% 0.92/1.16 apply (zenon_L556_); trivial.
% 0.92/1.16 (* end of lemma zenon_L558_ *)
% 0.92/1.16 assert (zenon_L559_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H189 zenon_H72 zenon_H8d zenon_H285 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_Hc4 zenon_H1bd zenon_H283 zenon_H2d zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H106.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.16 apply (zenon_L525_); trivial.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_L557_); trivial.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.16 apply (zenon_L528_); trivial.
% 0.92/1.16 apply (zenon_L185_); trivial.
% 0.92/1.16 apply (zenon_L467_); trivial.
% 0.92/1.16 apply (zenon_L193_); trivial.
% 0.92/1.16 apply (zenon_L54_); trivial.
% 0.92/1.16 apply (zenon_L558_); trivial.
% 0.92/1.16 (* end of lemma zenon_L559_ *)
% 0.92/1.16 assert (zenon_L560_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_H11f zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.16 apply (zenon_L387_); trivial.
% 0.92/1.16 apply (zenon_L219_); trivial.
% 0.92/1.16 (* end of lemma zenon_L560_ *)
% 0.92/1.16 assert (zenon_L561_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H12a zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.16 apply (zenon_L175_); trivial.
% 0.92/1.16 apply (zenon_L397_); trivial.
% 0.92/1.16 (* end of lemma zenon_L561_ *)
% 0.92/1.16 assert (zenon_L562_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H106 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H12a zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H1bb zenon_Hf5.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_L561_); trivial.
% 0.92/1.16 apply (zenon_L344_); trivial.
% 0.92/1.16 apply (zenon_L558_); trivial.
% 0.92/1.16 (* end of lemma zenon_L562_ *)
% 0.92/1.16 assert (zenon_L563_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_H151.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.16 apply (zenon_L553_); trivial.
% 0.92/1.16 apply (zenon_L492_); trivial.
% 0.92/1.16 (* end of lemma zenon_L563_ *)
% 0.92/1.16 assert (zenon_L564_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H20e zenon_H20c zenon_H141 zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H19b.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.16 apply (zenon_L563_); trivial.
% 0.92/1.16 apply (zenon_L434_); trivial.
% 0.92/1.16 (* end of lemma zenon_L564_ *)
% 0.92/1.16 assert (zenon_L565_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H24d zenon_H27c zenon_H176 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H1b1 zenon_H285 zenon_H14a zenon_H1b9 zenon_H38 zenon_Ha1 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L383_); trivial.
% 0.92/1.16 apply (zenon_L520_); trivial.
% 0.92/1.16 (* end of lemma zenon_L565_ *)
% 0.92/1.16 assert (zenon_L566_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_L388_); trivial.
% 0.92/1.16 apply (zenon_L380_); trivial.
% 0.92/1.16 (* end of lemma zenon_L566_ *)
% 0.92/1.16 assert (zenon_L567_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H106 zenon_H188 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L383_); trivial.
% 0.92/1.16 apply (zenon_L558_); trivial.
% 0.92/1.16 (* end of lemma zenon_L567_ *)
% 0.92/1.16 assert (zenon_L568_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hc5 zenon_Ha zenon_H289 zenon_H28a zenon_H28b.
% 0.92/1.16 generalize (zenon_Hc5 (a5)). zenon_intro zenon_H28c.
% 0.92/1.16 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_H9 | zenon_intro zenon_H28d ].
% 0.92/1.16 exact (zenon_H9 zenon_Ha).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H28f | zenon_intro zenon_H28e ].
% 0.92/1.16 exact (zenon_H289 zenon_H28f).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H291 | zenon_intro zenon_H290 ].
% 0.92/1.16 exact (zenon_H291 zenon_H28a).
% 0.92/1.16 exact (zenon_H290 zenon_H28b).
% 0.92/1.16 (* end of lemma zenon_L568_ *)
% 0.92/1.16 assert (zenon_L569_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c2_1 (a5)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H39 zenon_Ha zenon_H289 zenon_Hc5 zenon_H28a.
% 0.92/1.16 generalize (zenon_H39 (a5)). zenon_intro zenon_H292.
% 0.92/1.16 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_H9 | zenon_intro zenon_H293 ].
% 0.92/1.16 exact (zenon_H9 zenon_Ha).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H28f | zenon_intro zenon_H294 ].
% 0.92/1.16 exact (zenon_H289 zenon_H28f).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28b | zenon_intro zenon_H291 ].
% 0.92/1.16 apply (zenon_L568_); trivial.
% 0.92/1.16 exact (zenon_H291 zenon_H28a).
% 0.92/1.16 (* end of lemma zenon_L569_ *)
% 0.92/1.16 assert (zenon_L570_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp20)) -> (~(hskp4)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hd3 zenon_H28a zenon_H289 zenon_Ha zenon_H39 zenon_Hcf zenon_Hd1.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd4 ].
% 0.92/1.16 apply (zenon_L569_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ].
% 0.92/1.16 exact (zenon_Hcf zenon_Hd0).
% 0.92/1.16 exact (zenon_Hd1 zenon_Hd2).
% 0.92/1.16 (* end of lemma zenon_L570_ *)
% 0.92/1.16 assert (zenon_L571_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp4)) -> (~(hskp20)) -> (ndr1_0) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp3)) -> (~(hskp14)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H295 zenon_Hd1 zenon_Hcf zenon_Ha zenon_H289 zenon_H28a zenon_Hd3 zenon_Hec zenon_H57.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H39 | zenon_intro zenon_H296 ].
% 0.92/1.16 apply (zenon_L570_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_Hed | zenon_intro zenon_H58 ].
% 0.92/1.16 exact (zenon_Hec zenon_Hed).
% 0.92/1.16 exact (zenon_H57 zenon_H58).
% 0.92/1.16 (* end of lemma zenon_L571_ *)
% 0.92/1.16 assert (zenon_L572_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H57 zenon_H295.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.16 apply (zenon_L571_); trivial.
% 0.92/1.16 apply (zenon_L61_); trivial.
% 0.92/1.16 (* end of lemma zenon_L572_ *)
% 0.92/1.16 assert (zenon_L573_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_He5 zenon_H101 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Ha zenon_Hec zenon_H57 zenon_H295.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.16 apply (zenon_L571_); trivial.
% 0.92/1.16 apply (zenon_L75_); trivial.
% 0.92/1.16 (* end of lemma zenon_L573_ *)
% 0.92/1.16 assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H168 zenon_H106 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_H101 zenon_He5.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_L573_); trivial.
% 0.92/1.16 apply (zenon_L76_); trivial.
% 0.92/1.16 (* end of lemma zenon_L574_ *)
% 0.92/1.16 assert (zenon_L575_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H6e zenon_H106 zenon_Hf0 zenon_Hee zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_Hb4 zenon_H38 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.16 apply (zenon_L55_); trivial.
% 0.92/1.16 apply (zenon_L572_); trivial.
% 0.92/1.16 apply (zenon_L114_); trivial.
% 0.92/1.16 apply (zenon_L227_); trivial.
% 0.92/1.16 apply (zenon_L574_); trivial.
% 0.92/1.16 apply (zenon_L233_); trivial.
% 0.92/1.16 (* end of lemma zenon_L575_ *)
% 0.92/1.16 assert (zenon_L576_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H20f zenon_Ha zenon_H289 zenon_H297 zenon_H28a.
% 0.92/1.16 generalize (zenon_H20f (a5)). zenon_intro zenon_H298.
% 0.92/1.16 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_H9 | zenon_intro zenon_H299 ].
% 0.92/1.16 exact (zenon_H9 zenon_Ha).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28f | zenon_intro zenon_H29a ].
% 0.92/1.16 exact (zenon_H289 zenon_H28f).
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29b | zenon_intro zenon_H291 ].
% 0.92/1.16 exact (zenon_H297 zenon_H29b).
% 0.92/1.16 exact (zenon_H291 zenon_H28a).
% 0.92/1.16 (* end of lemma zenon_L576_ *)
% 0.92/1.16 assert (zenon_L577_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.16 apply (zenon_L576_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.16 apply (zenon_L190_); trivial.
% 0.92/1.16 apply (zenon_L17_); trivial.
% 0.92/1.16 (* end of lemma zenon_L577_ *)
% 0.92/1.16 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.16 apply (zenon_L66_); trivial.
% 0.92/1.16 apply (zenon_L577_); trivial.
% 0.92/1.16 (* end of lemma zenon_L578_ *)
% 0.92/1.16 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_L101_); trivial.
% 0.92/1.16 apply (zenon_L578_); trivial.
% 0.92/1.16 (* end of lemma zenon_L579_ *)
% 0.92/1.16 assert (zenon_L580_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H297 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H141 zenon_H189 zenon_H101 zenon_Hf5 zenon_H14a zenon_H5a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hee zenon_Hf0 zenon_H106 zenon_H6e zenon_H166 zenon_H11a zenon_H111 zenon_H151.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.16 apply (zenon_L575_); trivial.
% 0.92/1.16 apply (zenon_L579_); trivial.
% 0.92/1.16 (* end of lemma zenon_L580_ *)
% 0.92/1.16 assert (zenon_L581_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_H85 zenon_H138 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.16 apply (zenon_L128_); trivial.
% 0.92/1.16 apply (zenon_L124_); trivial.
% 0.92/1.16 (* end of lemma zenon_L581_ *)
% 0.92/1.16 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_L581_); trivial.
% 0.92/1.16 apply (zenon_L578_); trivial.
% 0.92/1.16 (* end of lemma zenon_L582_ *)
% 0.92/1.16 assert (zenon_L583_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H199 zenon_H19b zenon_H22b zenon_H1bb zenon_H297 zenon_H16e zenon_H138 zenon_H85 zenon_Hee zenon_Hae zenon_H189 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_H101 zenon_Hf5 zenon_H14a zenon_H5a zenon_H5f zenon_H38 zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_Hb4 zenon_H11a zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H47 zenon_H141 zenon_H2f zenon_H32 zenon_H162 zenon_H166 zenon_H14c zenon_H106 zenon_H111 zenon_H151.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.16 apply (zenon_L121_); trivial.
% 0.92/1.16 apply (zenon_L574_); trivial.
% 0.92/1.16 apply (zenon_L125_); trivial.
% 0.92/1.16 apply (zenon_L582_); trivial.
% 0.92/1.16 (* end of lemma zenon_L583_ *)
% 0.92/1.16 assert (zenon_L584_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.16 apply (zenon_L576_); trivial.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.16 apply (zenon_L158_); trivial.
% 0.92/1.16 apply (zenon_L427_); trivial.
% 0.92/1.16 (* end of lemma zenon_L584_ *)
% 0.92/1.16 assert (zenon_L585_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.16 apply (zenon_L584_); trivial.
% 0.92/1.16 apply (zenon_L105_); trivial.
% 0.92/1.16 (* end of lemma zenon_L585_ *)
% 0.92/1.16 assert (zenon_L586_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.16 apply (zenon_L25_); trivial.
% 0.92/1.16 apply (zenon_L585_); trivial.
% 0.92/1.16 (* end of lemma zenon_L586_ *)
% 0.92/1.16 assert (zenon_L587_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf5 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.16 apply (zenon_L181_); trivial.
% 0.92/1.16 apply (zenon_L586_); trivial.
% 0.92/1.16 (* end of lemma zenon_L587_ *)
% 0.92/1.16 assert (zenon_L588_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.16 apply (zenon_L155_); trivial.
% 0.92/1.16 apply (zenon_L577_); trivial.
% 0.92/1.16 (* end of lemma zenon_L588_ *)
% 0.92/1.16 assert (zenon_L589_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L189_); trivial.
% 0.92/1.17 apply (zenon_L588_); trivial.
% 0.92/1.17 (* end of lemma zenon_L589_ *)
% 0.92/1.17 assert (zenon_L590_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H60 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L83_); trivial.
% 0.92/1.17 apply (zenon_L427_); trivial.
% 0.92/1.17 (* end of lemma zenon_L590_ *)
% 0.92/1.17 assert (zenon_L591_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H5f zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H43 zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H1 zenon_H5 zenon_H7.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.17 apply (zenon_L4_); trivial.
% 0.92/1.17 apply (zenon_L590_); trivial.
% 0.92/1.17 (* end of lemma zenon_L591_ *)
% 0.92/1.17 assert (zenon_L592_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L83_); trivial.
% 0.92/1.17 apply (zenon_L17_); trivial.
% 0.92/1.17 (* end of lemma zenon_L592_ *)
% 0.92/1.17 assert (zenon_L593_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H109 zenon_H108 zenon_H22b zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L188_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.17 apply (zenon_L591_); trivial.
% 0.92/1.17 apply (zenon_L592_); trivial.
% 0.92/1.17 (* end of lemma zenon_L593_ *)
% 0.92/1.17 assert (zenon_L594_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L593_); trivial.
% 0.92/1.17 apply (zenon_L588_); trivial.
% 0.92/1.17 (* end of lemma zenon_L594_ *)
% 0.92/1.17 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bb zenon_H106.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.17 apply (zenon_L587_); trivial.
% 0.92/1.17 apply (zenon_L589_); trivial.
% 0.92/1.17 apply (zenon_L594_); trivial.
% 0.92/1.17 (* end of lemma zenon_L595_ *)
% 0.92/1.17 assert (zenon_L596_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a5))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp4)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H297 zenon_H18f zenon_H18e zenon_H18d zenon_Hd3 zenon_H28a zenon_H289 zenon_Ha zenon_Hcf zenon_Hd1.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L145_); trivial.
% 0.92/1.17 apply (zenon_L570_); trivial.
% 0.92/1.17 (* end of lemma zenon_L596_ *)
% 0.92/1.17 assert (zenon_L597_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_Hd3 zenon_Hd1 zenon_H22b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.17 apply (zenon_L596_); trivial.
% 0.92/1.17 apply (zenon_L61_); trivial.
% 0.92/1.17 (* end of lemma zenon_L597_ *)
% 0.92/1.17 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H18f zenon_H18e zenon_H18d.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L145_); trivial.
% 0.92/1.17 apply (zenon_L17_); trivial.
% 0.92/1.17 (* end of lemma zenon_L598_ *)
% 0.92/1.17 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.17 apply (zenon_L155_); trivial.
% 0.92/1.17 apply (zenon_L598_); trivial.
% 0.92/1.17 (* end of lemma zenon_L599_ *)
% 0.92/1.17 assert (zenon_L600_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H22b zenon_Hd1 zenon_Hd3 zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L79_); trivial.
% 0.92/1.17 apply (zenon_L597_); trivial.
% 0.92/1.17 apply (zenon_L599_); trivial.
% 0.92/1.17 (* end of lemma zenon_L600_ *)
% 0.92/1.17 assert (zenon_L601_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H47 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf6 zenon_He5 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H111 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_H151.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_L151_); trivial.
% 0.92/1.17 apply (zenon_L600_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L188_); trivial.
% 0.92/1.17 apply (zenon_L597_); trivial.
% 0.92/1.17 apply (zenon_L588_); trivial.
% 0.92/1.17 (* end of lemma zenon_L601_ *)
% 0.92/1.17 assert (zenon_L602_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L302_); trivial.
% 0.92/1.17 apply (zenon_L17_); trivial.
% 0.92/1.17 (* end of lemma zenon_L602_ *)
% 0.92/1.17 assert (zenon_L603_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L437_); trivial.
% 0.92/1.17 apply (zenon_L438_); trivial.
% 0.92/1.17 (* end of lemma zenon_L603_ *)
% 0.92/1.17 assert (zenon_L604_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H24d zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.17 apply (zenon_L602_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.17 apply (zenon_L603_); trivial.
% 0.92/1.17 apply (zenon_L78_); trivial.
% 0.92/1.17 (* end of lemma zenon_L604_ *)
% 0.92/1.17 assert (zenon_L605_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H9c zenon_H24d zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.17 apply (zenon_L602_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.17 apply (zenon_L317_); trivial.
% 0.92/1.17 apply (zenon_L78_); trivial.
% 0.92/1.17 (* end of lemma zenon_L605_ *)
% 0.92/1.17 assert (zenon_L606_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H14c zenon_H22b zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H24d zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.17 apply (zenon_L155_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.17 apply (zenon_L250_); trivial.
% 0.92/1.17 apply (zenon_L604_); trivial.
% 0.92/1.17 apply (zenon_L605_); trivial.
% 0.92/1.17 (* end of lemma zenon_L606_ *)
% 0.92/1.17 assert (zenon_L607_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_L151_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L593_); trivial.
% 0.92/1.17 apply (zenon_L156_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L593_); trivial.
% 0.92/1.17 apply (zenon_L606_); trivial.
% 0.92/1.17 (* end of lemma zenon_L607_ *)
% 0.92/1.17 assert (zenon_L608_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H199 zenon_H19a zenon_H111 zenon_H151 zenon_H189 zenon_H14c zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_Hc0 zenon_H19e zenon_H19f zenon_H11a zenon_Hc4 zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_H188 zenon_H17a zenon_H176 zenon_H1b9 zenon_H14a zenon_H5e zenon_H5a zenon_H49 zenon_H19b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L607_); trivial.
% 0.92/1.17 apply (zenon_L595_); trivial.
% 0.92/1.17 apply (zenon_L601_); trivial.
% 0.92/1.17 (* end of lemma zenon_L608_ *)
% 0.92/1.17 assert (zenon_L609_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H189 zenon_H24d zenon_Hf0 zenon_H19b zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H49 zenon_H5a zenon_H5e zenon_H14a zenon_H1b9 zenon_H176 zenon_H17a zenon_H188 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H7 zenon_H72 zenon_H83 zenon_H1bb zenon_H106 zenon_Hc4 zenon_H11a zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_Hf5 zenon_H151 zenon_H19a.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L482_); trivial.
% 0.92/1.17 apply (zenon_L595_); trivial.
% 0.92/1.17 apply (zenon_L601_); trivial.
% 0.92/1.17 apply (zenon_L608_); trivial.
% 0.92/1.17 (* end of lemma zenon_L609_ *)
% 0.92/1.17 assert (zenon_L610_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H2f zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.17 apply (zenon_L263_); trivial.
% 0.92/1.17 apply (zenon_L50_); trivial.
% 0.92/1.17 apply (zenon_L406_); trivial.
% 0.92/1.17 (* end of lemma zenon_L610_ *)
% 0.92/1.17 assert (zenon_L611_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H2f zenon_H6e zenon_Hf6.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L610_); trivial.
% 0.92/1.17 apply (zenon_L68_); trivial.
% 0.92/1.17 (* end of lemma zenon_L611_ *)
% 0.92/1.17 assert (zenon_L612_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H189 zenon_H106 zenon_H295 zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_H101 zenon_He5 zenon_Hf6 zenon_H6e zenon_H2f zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hae zenon_H32 zenon_Hec zenon_Hee zenon_Hf0 zenon_Hf5.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.17 apply (zenon_L611_); trivial.
% 0.92/1.17 apply (zenon_L574_); trivial.
% 0.92/1.17 (* end of lemma zenon_L612_ *)
% 0.92/1.17 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L251_); trivial.
% 0.92/1.17 apply (zenon_L17_); trivial.
% 0.92/1.17 (* end of lemma zenon_L613_ *)
% 0.92/1.17 assert (zenon_L614_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.17 apply (zenon_L250_); trivial.
% 0.92/1.17 apply (zenon_L613_); trivial.
% 0.92/1.17 apply (zenon_L41_); trivial.
% 0.92/1.17 (* end of lemma zenon_L614_ *)
% 0.92/1.17 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H3a zenon_H3b zenon_H3c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L161_); trivial.
% 0.92/1.17 apply (zenon_L17_); trivial.
% 0.92/1.17 (* end of lemma zenon_L615_ *)
% 0.92/1.17 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.17 apply (zenon_L254_); trivial.
% 0.92/1.17 apply (zenon_L615_); trivial.
% 0.92/1.17 (* end of lemma zenon_L616_ *)
% 0.92/1.17 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.17 apply (zenon_L263_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 0.92/1.17 apply (zenon_L614_); trivial.
% 0.92/1.17 apply (zenon_L616_); trivial.
% 0.92/1.17 (* end of lemma zenon_L617_ *)
% 0.92/1.17 assert (zenon_L618_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_Ha1 zenon_H127 zenon_H1aa zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H9a zenon_H9d zenon_H22b zenon_H38 zenon_Hae zenon_H72 zenon_Hf5 zenon_H151.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_L151_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L86_); trivial.
% 0.92/1.17 apply (zenon_L617_); trivial.
% 0.92/1.17 apply (zenon_L264_); trivial.
% 0.92/1.17 (* end of lemma zenon_L618_ *)
% 0.92/1.17 assert (zenon_L619_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H199 zenon_H19b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L607_); trivial.
% 0.92/1.17 apply (zenon_L246_); trivial.
% 0.92/1.17 (* end of lemma zenon_L619_ *)
% 0.92/1.17 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H20c zenon_Hf0 zenon_H47 zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_L618_); trivial.
% 0.92/1.17 apply (zenon_L619_); trivial.
% 0.92/1.17 (* end of lemma zenon_L620_ *)
% 0.92/1.17 assert (zenon_L621_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H45 zenon_H47 zenon_H72.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.17 apply (zenon_L51_); trivial.
% 0.92/1.17 apply (zenon_L410_); trivial.
% 0.92/1.17 (* end of lemma zenon_L621_ *)
% 0.92/1.17 assert (zenon_L622_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L621_); trivial.
% 0.92/1.17 apply (zenon_L62_); trivial.
% 0.92/1.17 apply (zenon_L281_); trivial.
% 0.92/1.17 (* end of lemma zenon_L622_ *)
% 0.92/1.17 assert (zenon_L623_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H17 zenon_H11a.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 0.92/1.17 apply (zenon_L81_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L83_); trivial.
% 0.92/1.17 apply (zenon_L274_); trivial.
% 0.92/1.17 (* end of lemma zenon_L623_ *)
% 0.92/1.17 assert (zenon_L624_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_Hc4 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H43 zenon_H17 zenon_H11a zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L79_); trivial.
% 0.92/1.17 apply (zenon_L623_); trivial.
% 0.92/1.17 (* end of lemma zenon_L624_ *)
% 0.92/1.17 assert (zenon_L625_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hc4 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L624_); trivial.
% 0.92/1.17 apply (zenon_L281_); trivial.
% 0.92/1.17 (* end of lemma zenon_L625_ *)
% 0.92/1.17 assert (zenon_L626_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H297 zenon_H22b zenon_H106 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_Hb4 zenon_H38 zenon_H5f zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L621_); trivial.
% 0.92/1.17 apply (zenon_L572_); trivial.
% 0.92/1.17 apply (zenon_L114_); trivial.
% 0.92/1.17 apply (zenon_L622_); trivial.
% 0.92/1.17 apply (zenon_L574_); trivial.
% 0.92/1.17 apply (zenon_L625_); trivial.
% 0.92/1.17 (* end of lemma zenon_L626_ *)
% 0.92/1.17 assert (zenon_L627_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L96_); trivial.
% 0.92/1.17 apply (zenon_L124_); trivial.
% 0.92/1.17 (* end of lemma zenon_L627_ *)
% 0.92/1.17 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.17 apply (zenon_L627_); trivial.
% 0.92/1.17 apply (zenon_L578_); trivial.
% 0.92/1.17 (* end of lemma zenon_L628_ *)
% 0.92/1.17 assert (zenon_L629_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H20e zenon_Hc0 zenon_H25d zenon_H151 zenon_H111 zenon_H11a zenon_H297 zenon_H22b zenon_H106 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9d zenon_Ha1 zenon_H19 zenon_Hb4 zenon_H38 zenon_H5f zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H141 zenon_Hee zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H1bb zenon_H19b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L626_); trivial.
% 0.92/1.17 apply (zenon_L579_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L376_); trivial.
% 0.92/1.17 apply (zenon_L628_); trivial.
% 0.92/1.17 (* end of lemma zenon_L629_ *)
% 0.92/1.17 assert (zenon_L630_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H189 zenon_H14c zenon_H1bb zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H188 zenon_H17a zenon_H176 zenon_H14a zenon_H151 zenon_H106 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H5a zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19 zenon_Hae zenon_He0 zenon_H5f zenon_H162 zenon_H47 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5e zenon_H49 zenon_H85 zenon_H138 zenon_H19b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_L289_); trivial.
% 0.92/1.17 apply (zenon_L608_); trivial.
% 0.92/1.17 (* end of lemma zenon_L630_ *)
% 0.92/1.17 assert (zenon_L631_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H20e zenon_H14c zenon_H141 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H6e zenon_H106 zenon_Hf0 zenon_Hee zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9d zenon_Ha1 zenon_H19 zenon_Hb4 zenon_H38 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.17 apply (zenon_L575_); trivial.
% 0.92/1.17 apply (zenon_L239_); trivial.
% 0.92/1.17 apply (zenon_L247_); trivial.
% 0.92/1.17 (* end of lemma zenon_L631_ *)
% 0.92/1.17 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H7 zenon_H5 zenon_H47 zenon_H162 zenon_H5f zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 0.92/1.17 apply (zenon_L325_); trivial.
% 0.92/1.17 apply (zenon_L619_); trivial.
% 0.92/1.17 (* end of lemma zenon_L632_ *)
% 0.92/1.17 assert (zenon_L633_ : (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66)))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H21e zenon_Ha zenon_H297 zenon_Hc5 zenon_H289 zenon_H28a.
% 0.92/1.17 generalize (zenon_H21e (a5)). zenon_intro zenon_H29c.
% 0.92/1.17 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ].
% 0.92/1.17 exact (zenon_H9 zenon_Ha).
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29b | zenon_intro zenon_H294 ].
% 0.92/1.17 exact (zenon_H297 zenon_H29b).
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28b | zenon_intro zenon_H291 ].
% 0.92/1.17 apply (zenon_L568_); trivial.
% 0.92/1.17 exact (zenon_H291 zenon_H28a).
% 0.92/1.17 (* end of lemma zenon_L633_ *)
% 0.92/1.17 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H24d zenon_H229 zenon_H9a zenon_H12a zenon_H129 zenon_H28a zenon_H289 zenon_H297 zenon_H2f zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.17 apply (zenon_L79_); trivial.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.17 apply (zenon_L331_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.17 apply (zenon_L633_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.17 apply (zenon_L235_); trivial.
% 0.92/1.17 exact (zenon_H9a zenon_H9b).
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 0.92/1.17 apply (zenon_L27_); trivial.
% 0.92/1.17 exact (zenon_H2f zenon_H30).
% 0.92/1.17 apply (zenon_L78_); trivial.
% 0.92/1.17 (* end of lemma zenon_L634_ *)
% 0.92/1.17 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H229 zenon_H9a zenon_H28a zenon_H289 zenon_H297 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H38 zenon_H17a zenon_H178 zenon_H14a zenon_H176 zenon_H101 zenon_H188 zenon_H189.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.17 apply (zenon_L140_); trivial.
% 0.92/1.17 apply (zenon_L634_); trivial.
% 0.92/1.17 (* end of lemma zenon_L635_ *)
% 0.92/1.17 assert (zenon_L636_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.17 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H28a zenon_H289 zenon_H5a zenon_H57 zenon_H3 zenon_H297 zenon_H22b zenon_Ha zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.17 apply (zenon_L331_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.17 apply (zenon_L576_); trivial.
% 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.17 apply (zenon_L164_); trivial.
% 0.92/1.17 apply (zenon_L569_); trivial.
% 0.92/1.17 apply (zenon_L78_); trivial.
% 0.92/1.17 (* end of lemma zenon_L636_ *)
% 0.92/1.17 assert (zenon_L637_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H43 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H57 zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.18 apply (zenon_L79_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.18 apply (zenon_L636_); trivial.
% 0.92/1.18 apply (zenon_L590_); trivial.
% 0.92/1.18 (* end of lemma zenon_L637_ *)
% 0.92/1.18 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H19e zenon_H19f zenon_H1aa.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.18 apply (zenon_L576_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.18 apply (zenon_L168_); trivial.
% 0.92/1.18 apply (zenon_L427_); trivial.
% 0.92/1.18 (* end of lemma zenon_L638_ *)
% 0.92/1.18 assert (zenon_L639_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.18 apply (zenon_L584_); trivial.
% 0.92/1.18 apply (zenon_L638_); trivial.
% 0.92/1.18 (* end of lemma zenon_L639_ *)
% 0.92/1.18 assert (zenon_L640_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H106 zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H38 zenon_Hf5.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.18 apply (zenon_L637_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.18 apply (zenon_L636_); trivial.
% 0.92/1.18 apply (zenon_L639_); trivial.
% 0.92/1.18 apply (zenon_L332_); trivial.
% 0.92/1.18 (* end of lemma zenon_L640_ *)
% 0.92/1.18 assert (zenon_L641_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H151 zenon_H106 zenon_Hf6 zenon_H5f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H38 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.18 apply (zenon_L151_); trivial.
% 0.92/1.18 apply (zenon_L640_); trivial.
% 0.92/1.18 (* end of lemma zenon_L641_ *)
% 0.92/1.18 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H2b zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.18 apply (zenon_L127_); trivial.
% 0.92/1.18 apply (zenon_L585_); trivial.
% 0.92/1.18 (* end of lemma zenon_L642_ *)
% 0.92/1.18 assert (zenon_L643_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H28a zenon_H289 zenon_H18d zenon_H18e zenon_H18f zenon_H297 zenon_H22b.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.18 apply (zenon_L331_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 0.92/1.18 apply (zenon_L576_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 0.92/1.18 apply (zenon_L145_); trivial.
% 0.92/1.18 apply (zenon_L569_); trivial.
% 0.92/1.18 apply (zenon_L78_); trivial.
% 0.92/1.18 (* end of lemma zenon_L643_ *)
% 0.92/1.18 assert (zenon_L644_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H151 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.18 apply (zenon_L151_); trivial.
% 0.92/1.18 apply (zenon_L643_); trivial.
% 0.92/1.18 (* end of lemma zenon_L644_ *)
% 0.92/1.18 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H196 zenon_H19b zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H16e zenon_Hec zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H14c zenon_H14a zenon_H38 zenon_Hf5 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H151.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.18 apply (zenon_L644_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.18 apply (zenon_L333_); trivial.
% 0.92/1.18 apply (zenon_L597_); trivial.
% 0.92/1.18 apply (zenon_L642_); trivial.
% 0.92/1.18 apply (zenon_L643_); trivial.
% 0.92/1.18 (* end of lemma zenon_L645_ *)
% 0.92/1.18 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp9)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf2 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H9a zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.18 apply (zenon_L331_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.18 apply (zenon_L633_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.18 apply (zenon_L63_); trivial.
% 0.92/1.18 exact (zenon_H9a zenon_H9b).
% 0.92/1.18 apply (zenon_L78_); trivial.
% 0.92/1.18 (* end of lemma zenon_L646_ *)
% 0.92/1.18 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H1b9 zenon_H297 zenon_H289 zenon_H28a zenon_H129 zenon_H12a zenon_H133 zenon_H9a zenon_H229 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H24d zenon_Hf6.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.18 apply (zenon_L79_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.18 apply (zenon_L331_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 0.92/1.18 apply (zenon_L152_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 0.92/1.18 apply (zenon_L80_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ].
% 0.92/1.18 apply (zenon_L633_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ].
% 0.92/1.18 apply (zenon_L93_); trivial.
% 0.92/1.18 exact (zenon_H9a zenon_H9b).
% 0.92/1.18 apply (zenon_L78_); trivial.
% 0.92/1.18 apply (zenon_L646_); trivial.
% 0.92/1.18 (* end of lemma zenon_L647_ *)
% 0.92/1.18 assert (zenon_L648_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hdf zenon_H5f zenon_H38 zenon_H162 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.18 apply (zenon_L543_); trivial.
% 0.92/1.18 apply (zenon_L359_); trivial.
% 0.92/1.18 (* end of lemma zenon_L648_ *)
% 0.92/1.18 assert (zenon_L649_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_He5 zenon_H5f zenon_H38 zenon_H162 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H2b zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_Ha zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_Hd3 zenon_Hd1 zenon_H22b.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ].
% 0.92/1.18 apply (zenon_L596_); trivial.
% 0.92/1.18 apply (zenon_L648_); trivial.
% 0.92/1.18 (* end of lemma zenon_L649_ *)
% 0.92/1.18 assert (zenon_L650_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_H22b zenon_Hd1 zenon_Hd3 zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_Ha zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H2b zenon_H49 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_He0 zenon_H162 zenon_H38 zenon_H5f zenon_He5.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.18 apply (zenon_L649_); trivial.
% 0.92/1.18 apply (zenon_L361_); trivial.
% 0.92/1.18 (* end of lemma zenon_L650_ *)
% 0.92/1.18 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H196 zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_He5 zenon_H5f zenon_H38 zenon_H162 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H14a zenon_Hf5.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.18 apply (zenon_L650_); trivial.
% 0.92/1.18 apply (zenon_L643_); trivial.
% 0.92/1.18 (* end of lemma zenon_L651_ *)
% 0.92/1.18 assert (zenon_L652_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf6 zenon_H22b zenon_H108 zenon_H109 zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 0.92/1.18 apply (zenon_L241_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.92/1.18 apply (zenon_L240_); trivial.
% 0.92/1.18 apply (zenon_L592_); trivial.
% 0.92/1.18 (* end of lemma zenon_L652_ *)
% 0.92/1.18 assert (zenon_L653_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H109 zenon_H108 zenon_H22b zenon_Hf6.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 0.92/1.18 apply (zenon_L652_); trivial.
% 0.92/1.18 apply (zenon_L266_); trivial.
% 0.92/1.18 (* end of lemma zenon_L653_ *)
% 0.92/1.18 assert (zenon_L654_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 0.92/1.18 apply (zenon_L331_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 0.92/1.18 apply (zenon_L603_); trivial.
% 0.92/1.18 apply (zenon_L78_); trivial.
% 0.92/1.18 (* end of lemma zenon_L654_ *)
% 0.92/1.18 assert (zenon_L655_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H168 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H10a zenon_H109 zenon_H108 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H19 zenon_H17 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H38 zenon_H5f.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 0.92/1.18 apply (zenon_L636_); trivial.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.18 apply (zenon_L9_); trivial.
% 0.92/1.18 apply (zenon_L654_); trivial.
% 0.92/1.18 apply (zenon_L332_); trivial.
% 0.92/1.18 (* end of lemma zenon_L655_ *)
% 0.92/1.18 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H189 zenon_H106 zenon_H24d zenon_H5a zenon_H254 zenon_H253 zenon_H252 zenon_H19 zenon_H17 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H38 zenon_H5f zenon_Hf6 zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 0.92/1.18 apply (zenon_L653_); trivial.
% 0.92/1.18 apply (zenon_L655_); trivial.
% 0.92/1.18 (* end of lemma zenon_L656_ *)
% 0.92/1.18 assert (zenon_L657_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_Hf6 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19 zenon_H252 zenon_H253 zenon_H254 zenon_H5a zenon_H24d zenon_H106 zenon_H189 zenon_H151.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 0.92/1.18 apply (zenon_L151_); trivial.
% 0.92/1.18 apply (zenon_L656_); trivial.
% 0.92/1.18 apply (zenon_L246_); trivial.
% 0.92/1.18 (* end of lemma zenon_L657_ *)
% 0.92/1.18 assert (zenon_L658_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H5f zenon_H141 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 0.92/1.18 apply (zenon_L390_); trivial.
% 0.92/1.18 apply (zenon_L579_); trivial.
% 0.92/1.18 (* end of lemma zenon_L658_ *)
% 0.92/1.18 assert (zenon_L659_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 0.92/1.18 apply (zenon_L250_); trivial.
% 0.92/1.18 apply (zenon_L615_); trivial.
% 0.92/1.18 (* end of lemma zenon_L659_ *)
% 0.92/1.18 assert (zenon_L660_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 0.92/1.18 apply (zenon_L43_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 0.92/1.18 apply (zenon_L201_); trivial.
% 0.92/1.18 apply (zenon_L46_); trivial.
% 0.92/1.18 (* end of lemma zenon_L660_ *)
% 0.92/1.18 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False).
% 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H8f zenon_H90 zenon_H91.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 0.92/1.18 apply (zenon_L660_); trivial.
% 0.92/1.18 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 0.92/1.18 apply (zenon_L152_); trivial.
% 0.92/1.18 apply (zenon_L38_); trivial.
% 0.92/1.18 (* end of lemma zenon_L661_ *)
% 0.92/1.18 assert (zenon_L662_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.18 apply (zenon_L151_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_L86_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.18 apply (zenon_L155_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.04/1.18 apply (zenon_L614_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.04/1.18 apply (zenon_L659_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.04/1.18 apply (zenon_L576_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.04/1.18 apply (zenon_L158_); trivial.
% 1.04/1.18 apply (zenon_L17_); trivial.
% 1.04/1.18 apply (zenon_L661_); trivial.
% 1.04/1.18 (* end of lemma zenon_L662_ *)
% 1.04/1.18 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_L398_); trivial.
% 1.04/1.18 apply (zenon_L588_); trivial.
% 1.04/1.18 apply (zenon_L594_); trivial.
% 1.04/1.18 (* end of lemma zenon_L663_ *)
% 1.04/1.18 assert (zenon_L664_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H22b zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hf0 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.18 apply (zenon_L151_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.18 apply (zenon_L157_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_L86_); trivial.
% 1.04/1.18 apply (zenon_L606_); trivial.
% 1.04/1.18 (* end of lemma zenon_L664_ *)
% 1.04/1.18 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H47 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H188 zenon_H19b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L662_); trivial.
% 1.04/1.18 apply (zenon_L663_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L664_); trivial.
% 1.04/1.18 apply (zenon_L663_); trivial.
% 1.04/1.18 (* end of lemma zenon_L665_ *)
% 1.04/1.18 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_Hf0 zenon_H47 zenon_H162 zenon_H24d zenon_H189 zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.04/1.18 apply (zenon_L408_); trivial.
% 1.04/1.18 apply (zenon_L620_); trivial.
% 1.04/1.18 (* end of lemma zenon_L666_ *)
% 1.04/1.18 assert (zenon_L667_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H32 zenon_Hae zenon_H5f zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L417_); trivial.
% 1.04/1.18 apply (zenon_L628_); trivial.
% 1.04/1.18 (* end of lemma zenon_L667_ *)
% 1.04/1.18 assert (zenon_L668_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H20e zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_Hec zenon_Hee zenon_Hc0 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.18 apply (zenon_L416_); trivial.
% 1.04/1.18 apply (zenon_L667_); trivial.
% 1.04/1.18 (* end of lemma zenon_L668_ *)
% 1.04/1.18 assert (zenon_L669_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.18 apply (zenon_L388_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.18 apply (zenon_L411_); trivial.
% 1.04/1.18 apply (zenon_L623_); trivial.
% 1.04/1.18 apply (zenon_L281_); trivial.
% 1.04/1.18 (* end of lemma zenon_L669_ *)
% 1.04/1.18 assert (zenon_L670_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19b zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L669_); trivial.
% 1.04/1.18 apply (zenon_L421_); trivial.
% 1.04/1.18 (* end of lemma zenon_L670_ *)
% 1.04/1.18 assert (zenon_L671_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H43 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.18 apply (zenon_L79_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.18 apply (zenon_L591_); trivial.
% 1.04/1.18 apply (zenon_L420_); trivial.
% 1.04/1.18 (* end of lemma zenon_L671_ *)
% 1.04/1.18 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H14e zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H72 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_L671_); trivial.
% 1.04/1.18 apply (zenon_L156_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.18 apply (zenon_L671_); trivial.
% 1.04/1.18 apply (zenon_L606_); trivial.
% 1.04/1.18 (* end of lemma zenon_L672_ *)
% 1.04/1.18 assert (zenon_L673_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H72 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.18 apply (zenon_L388_); trivial.
% 1.04/1.18 apply (zenon_L672_); trivial.
% 1.04/1.18 (* end of lemma zenon_L673_ *)
% 1.04/1.18 assert (zenon_L674_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H24f zenon_H20e zenon_H188 zenon_H176 zenon_H14a zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H72 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1b9 zenon_H19b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.18 apply (zenon_L670_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L673_); trivial.
% 1.04/1.18 apply (zenon_L663_); trivial.
% 1.04/1.18 (* end of lemma zenon_L674_ *)
% 1.04/1.18 assert (zenon_L675_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L669_); trivial.
% 1.04/1.18 apply (zenon_L324_); trivial.
% 1.04/1.18 (* end of lemma zenon_L675_ *)
% 1.04/1.18 assert (zenon_L676_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H20e zenon_H111 zenon_H2f zenon_H141 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.18 apply (zenon_L675_); trivial.
% 1.04/1.18 apply (zenon_L434_); trivial.
% 1.04/1.18 (* end of lemma zenon_L676_ *)
% 1.04/1.18 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H38 zenon_H24d zenon_H1b1 zenon_H14c zenon_H189 zenon_H1b9 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_H20e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.04/1.18 apply (zenon_L676_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.18 apply (zenon_L670_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.18 apply (zenon_L673_); trivial.
% 1.04/1.18 apply (zenon_L246_); trivial.
% 1.04/1.18 (* end of lemma zenon_L677_ *)
% 1.04/1.18 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.18 apply (zenon_L636_); trivial.
% 1.04/1.18 apply (zenon_L382_); trivial.
% 1.04/1.18 apply (zenon_L332_); trivial.
% 1.04/1.18 (* end of lemma zenon_L678_ *)
% 1.04/1.18 assert (zenon_L679_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L388_); trivial.
% 1.04/1.19 apply (zenon_L678_); trivial.
% 1.04/1.19 (* end of lemma zenon_L679_ *)
% 1.04/1.19 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H25d zenon_Hec zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H22b zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H28a zenon_H297 zenon_H289 zenon_H14a zenon_H38 zenon_H5f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L374_); trivial.
% 1.04/1.19 apply (zenon_L585_); trivial.
% 1.04/1.19 apply (zenon_L54_); trivial.
% 1.04/1.19 (* end of lemma zenon_L680_ *)
% 1.04/1.19 assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hc4 zenon_Hf6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_L624_); trivial.
% 1.04/1.19 apply (zenon_L646_); trivial.
% 1.04/1.19 (* end of lemma zenon_L681_ *)
% 1.04/1.19 assert (zenon_L682_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L151_); trivial.
% 1.04/1.19 apply (zenon_L681_); trivial.
% 1.04/1.19 (* end of lemma zenon_L682_ *)
% 1.04/1.19 assert (zenon_L683_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_Hf5 zenon_H151.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L682_); trivial.
% 1.04/1.19 apply (zenon_L324_); trivial.
% 1.04/1.19 (* end of lemma zenon_L683_ *)
% 1.04/1.19 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H19 zenon_H5a zenon_H106 zenon_H189 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_H20e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.04/1.19 apply (zenon_L676_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.19 apply (zenon_L683_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L388_); trivial.
% 1.04/1.19 apply (zenon_L656_); trivial.
% 1.04/1.19 apply (zenon_L246_); trivial.
% 1.04/1.19 (* end of lemma zenon_L684_ *)
% 1.04/1.19 assert (zenon_L685_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H5f zenon_H1bd zenon_H270 zenon_H271 zenon_H32 zenon_H85 zenon_H2f zenon_H87 zenon_H74 zenon_H76 zenon_H77 zenon_H83 zenon_H1 zenon_H5 zenon_H7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.04/1.19 apply (zenon_L31_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 apply (zenon_L472_); trivial.
% 1.04/1.19 (* end of lemma zenon_L685_ *)
% 1.04/1.19 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_H141 zenon_Hf6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_L478_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L685_); trivial.
% 1.04/1.19 apply (zenon_L577_); trivial.
% 1.04/1.19 (* end of lemma zenon_L686_ *)
% 1.04/1.19 assert (zenon_L687_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H1bd zenon_H7 zenon_H5 zenon_H287 zenon_He0 zenon_H141 zenon_H106 zenon_H87 zenon_H85 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H111 zenon_H166 zenon_H151.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L462_); trivial.
% 1.04/1.19 apply (zenon_L686_); trivial.
% 1.04/1.19 (* end of lemma zenon_L687_ *)
% 1.04/1.19 assert (zenon_L688_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H162 zenon_H1b1 zenon_H285 zenon_H11a zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H141 zenon_He0 zenon_H287 zenon_H5 zenon_H7 zenon_H1bd zenon_H83 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_H19b.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.19 apply (zenon_L687_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L477_); trivial.
% 1.04/1.19 apply (zenon_L686_); trivial.
% 1.04/1.19 (* end of lemma zenon_L688_ *)
% 1.04/1.19 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.19 apply (zenon_L91_); trivial.
% 1.04/1.19 (* end of lemma zenon_L689_ *)
% 1.04/1.19 assert (zenon_L690_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H121 zenon_H11f zenon_He0 zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L490_); trivial.
% 1.04/1.19 apply (zenon_L689_); trivial.
% 1.04/1.19 apply (zenon_L264_); trivial.
% 1.04/1.19 (* end of lemma zenon_L690_ *)
% 1.04/1.19 assert (zenon_L691_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L25_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.04/1.19 apply (zenon_L331_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ].
% 1.04/1.19 apply (zenon_L569_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ].
% 1.04/1.19 exact (zenon_H43 zenon_H44).
% 1.04/1.19 exact (zenon_H45 zenon_H46).
% 1.04/1.19 apply (zenon_L502_); trivial.
% 1.04/1.19 apply (zenon_L134_); trivial.
% 1.04/1.19 apply (zenon_L180_); trivial.
% 1.04/1.19 apply (zenon_L100_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.04/1.19 apply (zenon_L331_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ].
% 1.04/1.19 apply (zenon_L569_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ].
% 1.04/1.19 apply (zenon_L126_); trivial.
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 apply (zenon_L502_); trivial.
% 1.04/1.19 apply (zenon_L105_); trivial.
% 1.04/1.19 apply (zenon_L222_); trivial.
% 1.04/1.19 (* end of lemma zenon_L691_ *)
% 1.04/1.19 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c1_1 (a5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H229 zenon_H297 zenon_H111 zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H72 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H14c zenon_H106.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.19 apply (zenon_L691_); trivial.
% 1.04/1.19 apply (zenon_L459_); trivial.
% 1.04/1.19 apply (zenon_L634_); trivial.
% 1.04/1.19 (* end of lemma zenon_L692_ *)
% 1.04/1.19 assert (zenon_L693_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H72 zenon_Ha1 zenon_H1b9 zenon_H285 zenon_H1b1 zenon_H8d zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_Hc0 zenon_Hc4 zenon_H166 zenon_H14c zenon_H106.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.19 apply (zenon_L691_); trivial.
% 1.04/1.19 apply (zenon_L520_); trivial.
% 1.04/1.19 apply (zenon_L125_); trivial.
% 1.04/1.19 (* end of lemma zenon_L693_ *)
% 1.04/1.19 assert (zenon_L694_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H38 zenon_H121 zenon_H11f zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.19 apply (zenon_L584_); trivial.
% 1.04/1.19 apply (zenon_L337_); trivial.
% 1.04/1.19 (* end of lemma zenon_L694_ *)
% 1.04/1.19 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H14e zenon_H106 zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121 zenon_H38 zenon_Hf5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_L637_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L636_); trivial.
% 1.04/1.19 apply (zenon_L694_); trivial.
% 1.04/1.19 apply (zenon_L332_); trivial.
% 1.04/1.19 (* end of lemma zenon_L695_ *)
% 1.04/1.19 assert (zenon_L696_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H72 zenon_H5f zenon_H43 zenon_H47 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H285 zenon_H38 zenon_Ha1 zenon_H18d zenon_H18e zenon_H18f zenon_H1b9 zenon_H11f zenon_H121 zenon_H188 zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.19 apply (zenon_L529_); trivial.
% 1.04/1.19 apply (zenon_L341_); trivial.
% 1.04/1.19 apply (zenon_L50_); trivial.
% 1.04/1.19 apply (zenon_L219_); trivial.
% 1.04/1.19 apply (zenon_L597_); trivial.
% 1.04/1.19 (* end of lemma zenon_L696_ *)
% 1.04/1.19 assert (zenon_L697_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_L86_); trivial.
% 1.04/1.19 apply (zenon_L646_); trivial.
% 1.04/1.19 (* end of lemma zenon_L697_ *)
% 1.04/1.19 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H24d zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L491_); trivial.
% 1.04/1.19 apply (zenon_L634_); trivial.
% 1.04/1.19 (* end of lemma zenon_L698_ *)
% 1.04/1.19 assert (zenon_L699_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L151_); trivial.
% 1.04/1.19 apply (zenon_L697_); trivial.
% 1.04/1.19 (* end of lemma zenon_L699_ *)
% 1.04/1.19 assert (zenon_L700_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L496_); trivial.
% 1.04/1.19 apply (zenon_L681_); trivial.
% 1.04/1.19 (* end of lemma zenon_L700_ *)
% 1.04/1.19 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H141 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L496_); trivial.
% 1.04/1.19 apply (zenon_L414_); trivial.
% 1.04/1.19 (* end of lemma zenon_L701_ *)
% 1.04/1.19 assert (zenon_L702_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H11a zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H151.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L700_); trivial.
% 1.04/1.19 apply (zenon_L701_); trivial.
% 1.04/1.19 (* end of lemma zenon_L702_ *)
% 1.04/1.19 assert (zenon_L703_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L151_); trivial.
% 1.04/1.19 apply (zenon_L678_); trivial.
% 1.04/1.19 (* end of lemma zenon_L703_ *)
% 1.04/1.19 assert (zenon_L704_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L528_); trivial.
% 1.04/1.19 apply (zenon_L382_); trivial.
% 1.04/1.19 apply (zenon_L313_); trivial.
% 1.04/1.19 (* end of lemma zenon_L704_ *)
% 1.04/1.19 assert (zenon_L705_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H22b zenon_H72.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L704_); trivial.
% 1.04/1.19 apply (zenon_L577_); trivial.
% 1.04/1.19 apply (zenon_L54_); trivial.
% 1.04/1.19 (* end of lemma zenon_L705_ *)
% 1.04/1.19 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H47 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H19 zenon_H5a zenon_H106 zenon_H189 zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.19 apply (zenon_L683_); trivial.
% 1.04/1.19 apply (zenon_L657_); trivial.
% 1.04/1.19 (* end of lemma zenon_L706_ *)
% 1.04/1.19 assert (zenon_L707_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_L686_); trivial.
% 1.04/1.19 (* end of lemma zenon_L707_ *)
% 1.04/1.19 assert (zenon_L708_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H141 zenon_He0 zenon_H5f zenon_H287 zenon_H5 zenon_H7 zenon_H47 zenon_H1bd zenon_H85 zenon_H87 zenon_H83 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5 zenon_H19b.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.19 apply (zenon_L553_); trivial.
% 1.04/1.19 apply (zenon_L686_); trivial.
% 1.04/1.19 apply (zenon_L707_); trivial.
% 1.04/1.19 (* end of lemma zenon_L708_ *)
% 1.04/1.19 assert (zenon_L709_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H7 zenon_H5 zenon_H287 zenon_H5f zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.19 apply (zenon_L497_); trivial.
% 1.04/1.19 apply (zenon_L707_); trivial.
% 1.04/1.19 (* end of lemma zenon_L709_ *)
% 1.04/1.19 assert (zenon_L710_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L165_); trivial.
% 1.04/1.19 apply (zenon_L639_); trivial.
% 1.04/1.19 (* end of lemma zenon_L710_ *)
% 1.04/1.19 assert (zenon_L711_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_L388_); trivial.
% 1.04/1.19 apply (zenon_L697_); trivial.
% 1.04/1.19 (* end of lemma zenon_L711_ *)
% 1.04/1.19 assert (zenon_L712_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H83 zenon_H5 zenon_H85 zenon_H87 zenon_Hf5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.19 apply (zenon_L77_); trivial.
% 1.04/1.19 (* end of lemma zenon_L712_ *)
% 1.04/1.19 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_Ha1 zenon_H9d zenon_H9a zenon_H127 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H14a zenon_H38 zenon_H106.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_L109_); trivial.
% 1.04/1.19 (* end of lemma zenon_L713_ *)
% 1.04/1.19 assert (zenon_L714_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H29e zenon_H29f zenon_H2a0.
% 1.04/1.19 generalize (zenon_H1e8 (a4)). zenon_intro zenon_H2a1.
% 1.04/1.19 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ].
% 1.04/1.19 exact (zenon_H9 zenon_Ha).
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ].
% 1.04/1.19 exact (zenon_H29e zenon_H2a4).
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2a5 ].
% 1.04/1.19 exact (zenon_H2a6 zenon_H29f).
% 1.04/1.19 exact (zenon_H2a5 zenon_H2a0).
% 1.04/1.19 (* end of lemma zenon_L714_ *)
% 1.04/1.19 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H31 zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 1.04/1.19 apply (zenon_L115_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 1.04/1.19 apply (zenon_L714_); trivial.
% 1.04/1.19 apply (zenon_L46_); trivial.
% 1.04/1.19 (* end of lemma zenon_L715_ *)
% 1.04/1.19 assert (zenon_L716_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.19 apply (zenon_L9_); trivial.
% 1.04/1.19 apply (zenon_L715_); trivial.
% 1.04/1.19 (* end of lemma zenon_L716_ *)
% 1.04/1.19 assert (zenon_L717_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.19 apply (zenon_L25_); trivial.
% 1.04/1.19 apply (zenon_L716_); trivial.
% 1.04/1.19 (* end of lemma zenon_L717_ *)
% 1.04/1.19 assert (zenon_L718_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_H166 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.19 apply (zenon_L717_); trivial.
% 1.04/1.19 apply (zenon_L476_); trivial.
% 1.04/1.19 apply (zenon_L125_); trivial.
% 1.04/1.19 (* end of lemma zenon_L718_ *)
% 1.04/1.19 assert (zenon_L719_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H166 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.19 apply (zenon_L627_); trivial.
% 1.04/1.19 apply (zenon_L120_); trivial.
% 1.04/1.19 (* end of lemma zenon_L719_ *)
% 1.04/1.19 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H15b zenon_H15a zenon_H159 zenon_H166 zenon_H14c zenon_H14a zenon_H38 zenon_H106.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_L102_); trivial.
% 1.04/1.20 apply (zenon_L719_); trivial.
% 1.04/1.20 apply (zenon_L125_); trivial.
% 1.04/1.20 (* end of lemma zenon_L720_ *)
% 1.04/1.20 assert (zenon_L721_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H31 zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H2a0 zenon_H29f zenon_H29e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 1.04/1.20 apply (zenon_L99_); trivial.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 1.04/1.20 apply (zenon_L714_); trivial.
% 1.04/1.20 apply (zenon_L46_); trivial.
% 1.04/1.20 (* end of lemma zenon_L721_ *)
% 1.04/1.20 assert (zenon_L722_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.20 apply (zenon_L176_); trivial.
% 1.04/1.20 apply (zenon_L721_); trivial.
% 1.04/1.20 (* end of lemma zenon_L722_ *)
% 1.04/1.20 assert (zenon_L723_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H2b zenon_H1b9 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_L188_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.20 apply (zenon_L722_); trivial.
% 1.04/1.20 apply (zenon_L313_); trivial.
% 1.04/1.20 (* end of lemma zenon_L723_ *)
% 1.04/1.20 assert (zenon_L724_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf5 zenon_H49 zenon_H1bb zenon_H1bd zenon_H11f zenon_H121 zenon_H5e zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1b9 zenon_H2b zenon_Hc0 zenon_H188 zenon_Hf6.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L723_); trivial.
% 1.04/1.20 apply (zenon_L194_); trivial.
% 1.04/1.20 (* end of lemma zenon_L724_ *)
% 1.04/1.20 assert (zenon_L725_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_L79_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.20 apply (zenon_L722_); trivial.
% 1.04/1.20 apply (zenon_L207_); trivial.
% 1.04/1.20 (* end of lemma zenon_L725_ *)
% 1.04/1.20 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L724_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L725_); trivial.
% 1.04/1.20 apply (zenon_L215_); trivial.
% 1.04/1.20 (* end of lemma zenon_L726_ *)
% 1.04/1.20 assert (zenon_L727_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H1 zenon_H5 zenon_H7.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L4_); trivial.
% 1.04/1.20 apply (zenon_L716_); trivial.
% 1.04/1.20 (* end of lemma zenon_L727_ *)
% 1.04/1.20 assert (zenon_L728_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.20 apply (zenon_L250_); trivial.
% 1.04/1.20 apply (zenon_L715_); trivial.
% 1.04/1.20 (* end of lemma zenon_L728_ *)
% 1.04/1.20 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H9c zenon_H24d zenon_H11f zenon_H11a zenon_H17 zenon_H8b zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H121 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.04/1.20 apply (zenon_L488_); trivial.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.04/1.20 apply (zenon_L317_); trivial.
% 1.04/1.20 apply (zenon_L78_); trivial.
% 1.04/1.20 (* end of lemma zenon_L729_ *)
% 1.04/1.20 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L165_); trivial.
% 1.04/1.20 apply (zenon_L716_); trivial.
% 1.04/1.20 (* end of lemma zenon_L730_ *)
% 1.04/1.20 assert (zenon_L731_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H5a zenon_H19 zenon_H24d zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H106 zenon_H189 zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_L482_); trivial.
% 1.04/1.20 apply (zenon_L726_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L151_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.20 apply (zenon_L157_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L86_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_L727_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.04/1.20 apply (zenon_L728_); trivial.
% 1.04/1.20 apply (zenon_L729_); trivial.
% 1.04/1.20 apply (zenon_L730_); trivial.
% 1.04/1.20 apply (zenon_L489_); trivial.
% 1.04/1.20 apply (zenon_L726_); trivial.
% 1.04/1.20 (* end of lemma zenon_L731_ *)
% 1.04/1.20 assert (zenon_L732_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_H6e zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H83 zenon_H5 zenon_H7 zenon_H151.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_L717_); trivial.
% 1.04/1.20 apply (zenon_L245_); trivial.
% 1.04/1.20 apply (zenon_L407_); trivial.
% 1.04/1.20 apply (zenon_L246_); trivial.
% 1.04/1.20 (* end of lemma zenon_L732_ *)
% 1.04/1.20 assert (zenon_L733_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.20 apply (zenon_L254_); trivial.
% 1.04/1.20 apply (zenon_L715_); trivial.
% 1.04/1.20 (* end of lemma zenon_L733_ *)
% 1.04/1.20 assert (zenon_L734_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_H205 zenon_H204 zenon_H203 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5f zenon_H83 zenon_H7 zenon_H1bb zenon_H72 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_L265_); trivial.
% 1.04/1.20 apply (zenon_L733_); trivial.
% 1.04/1.20 (* end of lemma zenon_L734_ *)
% 1.04/1.20 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L374_); trivial.
% 1.04/1.20 apply (zenon_L137_); trivial.
% 1.04/1.20 (* end of lemma zenon_L735_ *)
% 1.04/1.20 assert (zenon_L736_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H188 zenon_H5e zenon_H8d zenon_H8b zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_H25d zenon_Ha1 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H101 zenon_H176 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.20 apply (zenon_L135_); trivial.
% 1.04/1.20 apply (zenon_L735_); trivial.
% 1.04/1.20 (* end of lemma zenon_L736_ *)
% 1.04/1.20 assert (zenon_L737_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hc1 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.04/1.20 apply (zenon_L229_); trivial.
% 1.04/1.20 apply (zenon_L715_); trivial.
% 1.04/1.20 (* end of lemma zenon_L737_ *)
% 1.04/1.20 assert (zenon_L738_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H168 zenon_Hc4 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166 zenon_H5f zenon_H38 zenon_H17a zenon_H178 zenon_H2b zenon_H14a zenon_H176 zenon_H101 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_Ha1 zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H8d zenon_H5e zenon_H188.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_L736_); trivial.
% 1.04/1.20 apply (zenon_L737_); trivial.
% 1.04/1.20 (* end of lemma zenon_L738_ *)
% 1.04/1.20 assert (zenon_L739_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_H166 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106 zenon_H189 zenon_Hc4 zenon_H17a zenon_H176 zenon_H101 zenon_H16e zenon_Ha1 zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H8d zenon_H188 zenon_Hae zenon_Hee zenon_Hec zenon_H85 zenon_H138 zenon_Hf0 zenon_He0 zenon_H6e zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_L718_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L627_); trivial.
% 1.04/1.20 apply (zenon_L68_); trivial.
% 1.04/1.20 apply (zenon_L738_); trivial.
% 1.04/1.20 apply (zenon_L143_); trivial.
% 1.04/1.20 apply (zenon_L147_); trivial.
% 1.04/1.20 (* end of lemma zenon_L739_ *)
% 1.04/1.20 assert (zenon_L740_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H5a zenon_H57 zenon_H22b zenon_H19 zenon_H17 zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_L188_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_L727_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L280_); trivial.
% 1.04/1.20 apply (zenon_L716_); trivial.
% 1.04/1.20 (* end of lemma zenon_L740_ *)
% 1.04/1.20 assert (zenon_L741_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Ha1 zenon_H261 zenon_H25f zenon_H2a0 zenon_H29f zenon_H29e zenon_H22b zenon_H3a zenon_H3b zenon_H3c zenon_H74 zenon_H76 zenon_H77 zenon_H1bb zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.04/1.20 apply (zenon_L37_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ].
% 1.04/1.20 apply (zenon_L304_); trivial.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ].
% 1.04/1.20 apply (zenon_L714_); trivial.
% 1.04/1.20 exact (zenon_H25f zenon_H260).
% 1.04/1.20 (* end of lemma zenon_L741_ *)
% 1.04/1.20 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H261 zenon_H25f zenon_H2a0 zenon_H29f zenon_H29e zenon_H22b zenon_H1bb zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H72.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_L155_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L741_); trivial.
% 1.04/1.20 apply (zenon_L154_); trivial.
% 1.04/1.20 apply (zenon_L54_); trivial.
% 1.04/1.20 (* end of lemma zenon_L742_ *)
% 1.04/1.20 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H188 zenon_H176 zenon_H8d zenon_H25f zenon_H261 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H1bb zenon_H24b zenon_H24d zenon_H14c zenon_H2d zenon_H238 zenon_H189 zenon_H151 zenon_H106 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H5a zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19 zenon_Hae zenon_He0 zenon_H5f zenon_H162 zenon_H47 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5e zenon_H49 zenon_H85 zenon_H138 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_L289_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L151_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L740_); trivial.
% 1.04/1.20 apply (zenon_L156_); trivial.
% 1.04/1.20 apply (zenon_L297_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L740_); trivial.
% 1.04/1.20 apply (zenon_L308_); trivial.
% 1.04/1.20 apply (zenon_L309_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L723_); trivial.
% 1.04/1.20 apply (zenon_L742_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L725_); trivial.
% 1.04/1.20 apply (zenon_L156_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L725_); trivial.
% 1.04/1.20 apply (zenon_L319_); trivial.
% 1.04/1.20 (* end of lemma zenon_L743_ *)
% 1.04/1.20 assert (zenon_L744_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_L325_); trivial.
% 1.04/1.20 apply (zenon_L733_); trivial.
% 1.04/1.20 (* end of lemma zenon_L744_ *)
% 1.04/1.20 assert (zenon_L745_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H26c zenon_H26d zenon_He0 zenon_H22b zenon_H9d zenon_H1b1 zenon_H1b9 zenon_Hae zenon_Hc0 zenon_H11a zenon_Hc4 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H6e zenon_Hf6 zenon_H151 zenon_H111 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H20c zenon_H14c zenon_H14a zenon_H106 zenon_H1bb zenon_H19b zenon_H20e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L610_); trivial.
% 1.04/1.20 apply (zenon_L281_); trivial.
% 1.04/1.20 apply (zenon_L732_); trivial.
% 1.04/1.20 apply (zenon_L744_); trivial.
% 1.04/1.20 (* end of lemma zenon_L745_ *)
% 1.04/1.20 assert (zenon_L746_ : ((ndr1_0)/\((~(c0_1 (a9)))/\((~(c1_1 (a9)))/\(~(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(hskp0)) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H2a7 zenon_H261 zenon_H2a0 zenon_H29f zenon_H29e zenon_H25f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ].
% 1.04/1.20 apply (zenon_L331_); trivial.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ].
% 1.04/1.20 apply (zenon_L714_); trivial.
% 1.04/1.20 exact (zenon_H25f zenon_H260).
% 1.04/1.20 (* end of lemma zenon_L746_ *)
% 1.04/1.20 assert (zenon_L747_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L388_); trivial.
% 1.04/1.20 apply (zenon_L689_); trivial.
% 1.04/1.20 (* end of lemma zenon_L747_ *)
% 1.04/1.20 assert (zenon_L748_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hc4 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_L387_); trivial.
% 1.04/1.20 apply (zenon_L737_); trivial.
% 1.04/1.20 (* end of lemma zenon_L748_ *)
% 1.04/1.20 assert (zenon_L749_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_L188_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.04/1.20 apply (zenon_L722_); trivial.
% 1.04/1.20 apply (zenon_L556_); trivial.
% 1.04/1.20 (* end of lemma zenon_L749_ *)
% 1.04/1.20 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L749_); trivial.
% 1.04/1.20 apply (zenon_L215_); trivial.
% 1.04/1.20 (* end of lemma zenon_L750_ *)
% 1.04/1.20 assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H263 zenon_H264 zenon_H265 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L724_); trivial.
% 1.04/1.20 apply (zenon_L750_); trivial.
% 1.04/1.20 (* end of lemma zenon_L751_ *)
% 1.04/1.20 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19 zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_L395_); trivial.
% 1.04/1.20 apply (zenon_L751_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L151_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_L387_); trivial.
% 1.04/1.20 apply (zenon_L730_); trivial.
% 1.04/1.20 apply (zenon_L403_); trivial.
% 1.04/1.20 apply (zenon_L751_); trivial.
% 1.04/1.20 (* end of lemma zenon_L752_ *)
% 1.04/1.20 assert (zenon_L753_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H22b zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_L79_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_L727_); trivial.
% 1.04/1.20 apply (zenon_L420_); trivial.
% 1.04/1.20 (* end of lemma zenon_L753_ *)
% 1.04/1.20 assert (zenon_L754_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H210 zenon_H211 zenon_H212 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L749_); trivial.
% 1.04/1.20 apply (zenon_L425_); trivial.
% 1.04/1.20 (* end of lemma zenon_L754_ *)
% 1.04/1.20 assert (zenon_L755_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H176 zenon_H188 zenon_Hf0 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H238 zenon_H2d zenon_H14c zenon_H1bb zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H5f zenon_Hae zenon_H19 zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H5 zenon_H7 zenon_H72 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H19b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.04/1.20 apply (zenon_L422_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_L388_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L753_); trivial.
% 1.04/1.20 apply (zenon_L156_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_L753_); trivial.
% 1.04/1.20 apply (zenon_L319_); trivial.
% 1.04/1.20 apply (zenon_L754_); trivial.
% 1.04/1.20 (* end of lemma zenon_L755_ *)
% 1.04/1.20 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H9c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H159 zenon_H15a zenon_H15b zenon_H141.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.04/1.20 apply (zenon_L6_); trivial.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.04/1.20 apply (zenon_L116_); trivial.
% 1.04/1.20 apply (zenon_L38_); trivial.
% 1.04/1.20 (* end of lemma zenon_L756_ *)
% 1.04/1.20 assert (zenon_L757_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H60 zenon_Ha1 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.04/1.20 apply (zenon_L453_); trivial.
% 1.04/1.20 apply (zenon_L756_); trivial.
% 1.04/1.20 (* end of lemma zenon_L757_ *)
% 1.04/1.20 assert (zenon_L758_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H2b zenon_H14c zenon_Hc4 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H166 zenon_H5f zenon_Ha1 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.04/1.20 apply (zenon_L4_); trivial.
% 1.04/1.20 apply (zenon_L757_); trivial.
% 1.04/1.20 apply (zenon_L50_); trivial.
% 1.04/1.20 apply (zenon_L737_); trivial.
% 1.04/1.20 apply (zenon_L124_); trivial.
% 1.04/1.20 apply (zenon_L120_); trivial.
% 1.04/1.20 (* end of lemma zenon_L758_ *)
% 1.04/1.20 assert (zenon_L759_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.04/1.20 do 0 intro. intros zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H141 zenon_H162 zenon_Ha1 zenon_H166 zenon_Hc4 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.04/1.20 apply (zenon_L717_); trivial.
% 1.04/1.20 apply (zenon_L758_); trivial.
% 1.04/1.20 apply (zenon_L125_); trivial.
% 1.04/1.20 (* end of lemma zenon_L759_ *)
% 1.04/1.20 assert (zenon_L760_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_Hc4 zenon_H166 zenon_Ha1 zenon_H162 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H151.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L759_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.21 apply (zenon_L479_); trivial.
% 1.07/1.21 apply (zenon_L758_); trivial.
% 1.07/1.21 apply (zenon_L125_); trivial.
% 1.07/1.21 (* end of lemma zenon_L760_ *)
% 1.07/1.21 assert (zenon_L761_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H162 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H141 zenon_He0 zenon_H287 zenon_H5 zenon_H7 zenon_H83 zenon_H127 zenon_H19b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L462_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.21 apply (zenon_L479_); trivial.
% 1.07/1.21 apply (zenon_L459_); trivial.
% 1.07/1.21 apply (zenon_L108_); trivial.
% 1.07/1.21 apply (zenon_L760_); trivial.
% 1.07/1.21 (* end of lemma zenon_L761_ *)
% 1.07/1.21 assert (zenon_L762_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H20c zenon_H141 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1bb zenon_H19b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L690_); trivial.
% 1.07/1.21 apply (zenon_L732_); trivial.
% 1.07/1.21 (* end of lemma zenon_L762_ *)
% 1.07/1.21 assert (zenon_L763_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14a zenon_H14c zenon_H162 zenon_H141 zenon_H5 zenon_H7 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H5f zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L497_); trivial.
% 1.07/1.21 apply (zenon_L760_); trivial.
% 1.07/1.21 (* end of lemma zenon_L763_ *)
% 1.07/1.21 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.21 apply (zenon_L723_); trivial.
% 1.07/1.21 apply (zenon_L588_); trivial.
% 1.07/1.21 apply (zenon_L594_); trivial.
% 1.07/1.21 (* end of lemma zenon_L764_ *)
% 1.07/1.21 assert (zenon_L765_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H188 zenon_H1b9 zenon_H176 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L607_); trivial.
% 1.07/1.21 apply (zenon_L764_); trivial.
% 1.07/1.21 (* end of lemma zenon_L765_ *)
% 1.07/1.21 assert (zenon_L766_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H47 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L662_); trivial.
% 1.07/1.21 apply (zenon_L764_); trivial.
% 1.07/1.21 apply (zenon_L765_); trivial.
% 1.07/1.21 (* end of lemma zenon_L766_ *)
% 1.07/1.21 assert (zenon_L767_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L618_); trivial.
% 1.07/1.21 apply (zenon_L733_); trivial.
% 1.07/1.21 (* end of lemma zenon_L767_ *)
% 1.07/1.21 assert (zenon_L768_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_L151_); trivial.
% 1.07/1.21 apply (zenon_L625_); trivial.
% 1.07/1.21 (* end of lemma zenon_L768_ *)
% 1.07/1.21 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H1b1 zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L768_); trivial.
% 1.07/1.21 apply (zenon_L764_); trivial.
% 1.07/1.21 apply (zenon_L765_); trivial.
% 1.07/1.21 (* end of lemma zenon_L769_ *)
% 1.07/1.21 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.21 apply (zenon_L749_); trivial.
% 1.07/1.21 apply (zenon_L588_); trivial.
% 1.07/1.21 (* end of lemma zenon_L770_ *)
% 1.07/1.21 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H47 zenon_H1bb zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L662_); trivial.
% 1.07/1.21 apply (zenon_L770_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L664_); trivial.
% 1.07/1.21 apply (zenon_L770_); trivial.
% 1.07/1.21 (* end of lemma zenon_L771_ *)
% 1.07/1.21 assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.07/1.21 apply (zenon_L408_); trivial.
% 1.07/1.21 apply (zenon_L767_); trivial.
% 1.07/1.21 (* end of lemma zenon_L772_ *)
% 1.07/1.21 assert (zenon_L773_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H188 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H72 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1b9 zenon_H19b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L670_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L673_); trivial.
% 1.07/1.21 apply (zenon_L754_); trivial.
% 1.07/1.21 (* end of lemma zenon_L773_ *)
% 1.07/1.21 assert (zenon_L774_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H166 zenon_H2f zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Hc4.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L748_); trivial.
% 1.07/1.21 apply (zenon_L246_); trivial.
% 1.07/1.21 (* end of lemma zenon_L774_ *)
% 1.07/1.21 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H26c zenon_H26d zenon_H14c zenon_H1b9 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H166 zenon_H20e.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L675_); trivial.
% 1.07/1.21 apply (zenon_L774_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.21 apply (zenon_L670_); trivial.
% 1.07/1.21 apply (zenon_L733_); trivial.
% 1.07/1.21 (* end of lemma zenon_L775_ *)
% 1.07/1.21 assert (zenon_L776_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H287 zenon_He0 zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_Hc4 zenon_H166 zenon_Ha1 zenon_H162 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H151.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_L759_); trivial.
% 1.07/1.21 apply (zenon_L686_); trivial.
% 1.07/1.21 (* end of lemma zenon_L776_ *)
% 1.07/1.21 assert (zenon_L777_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H19b zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H11a zenon_H111 zenon_H151.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_L496_); trivial.
% 1.07/1.21 apply (zenon_L625_); trivial.
% 1.07/1.21 apply (zenon_L701_); trivial.
% 1.07/1.21 (* end of lemma zenon_L777_ *)
% 1.07/1.21 assert (zenon_L778_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H170 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac.
% 1.07/1.21 generalize (zenon_H170 (a1)). zenon_intro zenon_H2ad.
% 1.07/1.21 apply (zenon_imply_s _ _ zenon_H2ad); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ae ].
% 1.07/1.21 exact (zenon_H9 zenon_Ha).
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ].
% 1.07/1.21 exact (zenon_H2aa zenon_H2b0).
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b1 ].
% 1.07/1.21 exact (zenon_H2ab zenon_H2b2).
% 1.07/1.21 exact (zenon_H2b1 zenon_H2ac).
% 1.07/1.21 (* end of lemma zenon_L778_ *)
% 1.07/1.21 assert (zenon_L779_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H15 zenon_H174.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ].
% 1.07/1.21 apply (zenon_L778_); trivial.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ].
% 1.07/1.21 exact (zenon_H15 zenon_H16).
% 1.07/1.21 exact (zenon_H174 zenon_H175).
% 1.07/1.21 (* end of lemma zenon_L779_ *)
% 1.07/1.21 assert (zenon_L780_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H1 zenon_H32 zenon_H38.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.21 apply (zenon_L779_); trivial.
% 1.07/1.21 apply (zenon_L231_); trivial.
% 1.07/1.21 apply (zenon_L44_); trivial.
% 1.07/1.21 (* end of lemma zenon_L780_ *)
% 1.07/1.21 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H2f zenon_H1 zenon_H32 zenon_Hae.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.21 apply (zenon_L45_); trivial.
% 1.07/1.21 apply (zenon_L137_); trivial.
% 1.07/1.21 (* end of lemma zenon_L781_ *)
% 1.07/1.21 assert (zenon_L782_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.21 apply (zenon_L780_); trivial.
% 1.07/1.21 apply (zenon_L781_); trivial.
% 1.07/1.21 (* end of lemma zenon_L782_ *)
% 1.07/1.21 assert (zenon_L783_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H43 zenon_H45 zenon_H47 zenon_H72.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.21 apply (zenon_L782_); trivial.
% 1.07/1.21 apply (zenon_L50_); trivial.
% 1.07/1.21 apply (zenon_L54_); trivial.
% 1.07/1.21 (* end of lemma zenon_L783_ *)
% 1.07/1.21 assert (zenon_L784_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H6e zenon_H72.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.21 apply (zenon_L782_); trivial.
% 1.07/1.21 apply (zenon_L28_); trivial.
% 1.07/1.21 apply (zenon_L54_); trivial.
% 1.07/1.21 (* end of lemma zenon_L784_ *)
% 1.07/1.21 assert (zenon_L785_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.21 apply (zenon_L779_); trivial.
% 1.07/1.21 apply (zenon_L105_); trivial.
% 1.07/1.21 (* end of lemma zenon_L785_ *)
% 1.07/1.21 assert (zenon_L786_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.21 apply (zenon_L785_); trivial.
% 1.07/1.21 apply (zenon_L180_); trivial.
% 1.07/1.21 (* end of lemma zenon_L786_ *)
% 1.07/1.21 assert (zenon_L787_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hf5 zenon_H57 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.21 apply (zenon_L783_); trivial.
% 1.07/1.21 apply (zenon_L784_); trivial.
% 1.07/1.21 apply (zenon_L786_); trivial.
% 1.07/1.21 (* end of lemma zenon_L787_ *)
% 1.07/1.21 assert (zenon_L788_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H47 zenon_H43 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.21 apply (zenon_L783_); trivial.
% 1.07/1.21 apply (zenon_L62_); trivial.
% 1.07/1.21 (* end of lemma zenon_L788_ *)
% 1.07/1.21 assert (zenon_L789_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c3_1 (a76)) -> (c1_1 (a76)) -> (c0_1 (a76)) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H50 zenon_H4f zenon_H4e zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 1.07/1.21 apply (zenon_L43_); trivial.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 1.07/1.21 apply (zenon_L22_); trivial.
% 1.07/1.21 apply (zenon_L110_); trivial.
% 1.07/1.21 (* end of lemma zenon_L789_ *)
% 1.07/1.21 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hab zenon_Ha1 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.07/1.21 apply (zenon_L37_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ].
% 1.07/1.21 apply (zenon_L21_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 1.07/1.21 apply (zenon_L17_); trivial.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.07/1.21 apply (zenon_L103_); trivial.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.07/1.21 apply (zenon_L789_); trivial.
% 1.07/1.21 apply (zenon_L136_); trivial.
% 1.07/1.21 exact (zenon_H2f zenon_H30).
% 1.07/1.21 (* end of lemma zenon_L790_ *)
% 1.07/1.21 assert (zenon_L791_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H3 zenon_H49 zenon_H9a zenon_H9d zenon_Ha1.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.21 apply (zenon_L42_); trivial.
% 1.07/1.21 apply (zenon_L790_); trivial.
% 1.07/1.21 (* end of lemma zenon_L791_ *)
% 1.07/1.21 assert (zenon_L792_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H3a zenon_H3b zenon_H3c zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.21 apply (zenon_L791_); trivial.
% 1.07/1.21 apply (zenon_L137_); trivial.
% 1.07/1.21 (* end of lemma zenon_L792_ *)
% 1.07/1.21 assert (zenon_L793_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.21 apply (zenon_L785_); trivial.
% 1.07/1.21 apply (zenon_L792_); trivial.
% 1.07/1.21 (* end of lemma zenon_L793_ *)
% 1.07/1.21 assert (zenon_L794_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.21 apply (zenon_L787_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.21 apply (zenon_L788_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.21 apply (zenon_L782_); trivial.
% 1.07/1.21 apply (zenon_L793_); trivial.
% 1.07/1.21 apply (zenon_L54_); trivial.
% 1.07/1.21 (* end of lemma zenon_L794_ *)
% 1.07/1.21 assert (zenon_L795_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H17 zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.21 apply (zenon_L794_); trivial.
% 1.07/1.21 apply (zenon_L233_); trivial.
% 1.07/1.21 (* end of lemma zenon_L795_ *)
% 1.07/1.21 assert (zenon_L796_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.21 apply (zenon_L779_); trivial.
% 1.07/1.21 apply (zenon_L354_); trivial.
% 1.07/1.21 (* end of lemma zenon_L796_ *)
% 1.07/1.21 assert (zenon_L797_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H49 zenon_H3 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.21 apply (zenon_L779_); trivial.
% 1.07/1.21 apply (zenon_L352_); trivial.
% 1.07/1.21 apply (zenon_L796_); trivial.
% 1.07/1.21 (* end of lemma zenon_L797_ *)
% 1.07/1.21 assert (zenon_L798_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H60 zenon_H38 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.21 apply (zenon_L779_); trivial.
% 1.07/1.21 apply (zenon_L464_); trivial.
% 1.07/1.21 (* end of lemma zenon_L798_ *)
% 1.07/1.21 assert (zenon_L799_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_Hae.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.21 apply (zenon_L797_); trivial.
% 1.07/1.21 apply (zenon_L798_); trivial.
% 1.07/1.21 (* end of lemma zenon_L799_ *)
% 1.07/1.21 assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H6d zenon_H188 zenon_H17a zenon_H178 zenon_Ha1 zenon_H8b zenon_H8d zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.21 apply (zenon_L799_); trivial.
% 1.07/1.21 apply (zenon_L792_); trivial.
% 1.07/1.21 (* end of lemma zenon_L800_ *)
% 1.07/1.21 assert (zenon_L801_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.21 do 0 intro. intros zenon_H106 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.21 apply (zenon_L787_); trivial.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.07/1.21 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.21 apply (zenon_L782_); trivial.
% 1.07/1.21 apply (zenon_L800_); trivial.
% 1.07/1.21 apply (zenon_L54_); trivial.
% 1.07/1.21 (* end of lemma zenon_L801_ *)
% 1.07/1.21 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_He0 zenon_H141 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L801_); trivial.
% 1.07/1.22 apply (zenon_L143_); trivial.
% 1.07/1.22 (* end of lemma zenon_L802_ *)
% 1.07/1.22 assert (zenon_L803_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_L795_); trivial.
% 1.07/1.22 apply (zenon_L802_); trivial.
% 1.07/1.22 apply (zenon_L147_); trivial.
% 1.07/1.22 (* end of lemma zenon_L803_ *)
% 1.07/1.22 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L785_); trivial.
% 1.07/1.22 apply (zenon_L222_); trivial.
% 1.07/1.22 (* end of lemma zenon_L804_ *)
% 1.07/1.22 assert (zenon_L805_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H5e zenon_H285 zenon_H1 zenon_H2b zenon_H3 zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L527_); trivial.
% 1.07/1.22 (* end of lemma zenon_L805_ *)
% 1.07/1.22 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H8d zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H5e zenon_H285 zenon_H2b zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19 zenon_H17 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H162 zenon_H5f zenon_H47 zenon_H72 zenon_Hf6.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.22 apply (zenon_L805_); trivial.
% 1.07/1.22 apply (zenon_L118_); trivial.
% 1.07/1.22 apply (zenon_L512_); trivial.
% 1.07/1.22 apply (zenon_L50_); trivial.
% 1.07/1.22 apply (zenon_L54_); trivial.
% 1.07/1.22 apply (zenon_L124_); trivial.
% 1.07/1.22 apply (zenon_L120_); trivial.
% 1.07/1.22 (* end of lemma zenon_L806_ *)
% 1.07/1.22 assert (zenon_L807_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H2b zenon_H85 zenon_H138 zenon_H38 zenon_H5f.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.22 apply (zenon_L127_); trivial.
% 1.07/1.22 apply (zenon_L798_); trivial.
% 1.07/1.22 apply (zenon_L138_); trivial.
% 1.07/1.22 (* end of lemma zenon_L807_ *)
% 1.07/1.22 assert (zenon_L808_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hec zenon_H16e zenon_H178 zenon_H17a zenon_H188.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L807_); trivial.
% 1.07/1.22 apply (zenon_L143_); trivial.
% 1.07/1.22 (* end of lemma zenon_L808_ *)
% 1.07/1.22 assert (zenon_L809_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H20e zenon_H19 zenon_H33 zenon_H2d zenon_H162 zenon_H285 zenon_H14c zenon_H16e zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H87 zenon_H19a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.22 apply (zenon_L803_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.22 apply (zenon_L70_); trivial.
% 1.07/1.22 apply (zenon_L124_); trivial.
% 1.07/1.22 apply (zenon_L804_); trivial.
% 1.07/1.22 apply (zenon_L806_); trivial.
% 1.07/1.22 apply (zenon_L125_); trivial.
% 1.07/1.22 apply (zenon_L808_); trivial.
% 1.07/1.22 apply (zenon_L147_); trivial.
% 1.07/1.22 (* end of lemma zenon_L809_ *)
% 1.07/1.22 assert (zenon_L810_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H17 zenon_H8b zenon_H11a zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L252_); trivial.
% 1.07/1.22 (* end of lemma zenon_L810_ *)
% 1.07/1.22 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H17 zenon_H8b zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L162_); trivial.
% 1.07/1.22 (* end of lemma zenon_L811_ *)
% 1.07/1.22 assert (zenon_L812_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_L810_); trivial.
% 1.07/1.22 apply (zenon_L811_); trivial.
% 1.07/1.22 (* end of lemma zenon_L812_ *)
% 1.07/1.22 assert (zenon_L813_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp2)) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H283 zenon_H17e zenon_H17d zenon_H17c zenon_H2d.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H132 | zenon_intro zenon_H284 ].
% 1.07/1.22 apply (zenon_L136_); trivial.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H25 | zenon_intro zenon_H2e ].
% 1.07/1.22 apply (zenon_L43_); trivial.
% 1.07/1.22 exact (zenon_H2d zenon_H2e).
% 1.07/1.22 (* end of lemma zenon_L813_ *)
% 1.07/1.22 assert (zenon_L814_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H185 zenon_Hae zenon_H283 zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_L65_); trivial.
% 1.07/1.22 apply (zenon_L813_); trivial.
% 1.07/1.22 (* end of lemma zenon_L814_ *)
% 1.07/1.22 assert (zenon_L815_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L256_); trivial.
% 1.07/1.22 (* end of lemma zenon_L815_ *)
% 1.07/1.22 assert (zenon_L816_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L258_); trivial.
% 1.07/1.22 (* end of lemma zenon_L816_ *)
% 1.07/1.22 assert (zenon_L817_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121 zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_L815_); trivial.
% 1.07/1.22 apply (zenon_L816_); trivial.
% 1.07/1.22 (* end of lemma zenon_L817_ *)
% 1.07/1.22 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H283 zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L817_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 (* end of lemma zenon_L818_ *)
% 1.07/1.22 assert (zenon_L819_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_H188 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L151_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L86_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L812_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 apply (zenon_L818_); trivial.
% 1.07/1.22 (* end of lemma zenon_L819_ *)
% 1.07/1.22 assert (zenon_L820_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b9 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L177_); trivial.
% 1.07/1.22 apply (zenon_L313_); trivial.
% 1.07/1.22 (* end of lemma zenon_L820_ *)
% 1.07/1.22 assert (zenon_L821_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp27)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H1d6 zenon_H1c8 zenon_H1c5 zenon_H1c3 zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_He0 zenon_H43 zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H1bf zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c7 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L195_); trivial.
% 1.07/1.22 apply (zenon_L198_); trivial.
% 1.07/1.22 (* end of lemma zenon_L821_ *)
% 1.07/1.22 assert (zenon_L822_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H133 zenon_H129 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_H43 zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.22 apply (zenon_L79_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ].
% 1.07/1.22 apply (zenon_L821_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L205_); trivial.
% 1.07/1.22 apply (zenon_L207_); trivial.
% 1.07/1.22 apply (zenon_L211_); trivial.
% 1.07/1.22 (* end of lemma zenon_L822_ *)
% 1.07/1.22 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H188 zenon_H1b9 zenon_H1d6 zenon_H1c8 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H1bf zenon_H38 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H129 zenon_H133 zenon_H12a zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L822_); trivial.
% 1.07/1.22 apply (zenon_L215_); trivial.
% 1.07/1.22 (* end of lemma zenon_L823_ *)
% 1.07/1.22 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L820_); trivial.
% 1.07/1.22 apply (zenon_L823_); trivial.
% 1.07/1.22 (* end of lemma zenon_L824_ *)
% 1.07/1.22 assert (zenon_L825_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H1bd zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.07/1.22 apply (zenon_L161_); trivial.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.07/1.22 apply (zenon_L87_); trivial.
% 1.07/1.22 apply (zenon_L327_); trivial.
% 1.07/1.22 (* end of lemma zenon_L825_ *)
% 1.07/1.22 assert (zenon_L826_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H24b zenon_Hd1 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 1.07/1.22 apply (zenon_L825_); trivial.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 1.07/1.22 apply (zenon_L660_); trivial.
% 1.07/1.22 exact (zenon_Hd1 zenon_Hd2).
% 1.07/1.22 (* end of lemma zenon_L826_ *)
% 1.07/1.22 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H283 zenon_H2d zenon_Hee zenon_Hec zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Hd1 zenon_H24b zenon_H38 zenon_Hae.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_L65_); trivial.
% 1.07/1.22 apply (zenon_L826_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 (* end of lemma zenon_L827_ *)
% 1.07/1.22 assert (zenon_L828_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H9d zenon_H9a zenon_H2f zenon_H1 zenon_H32 zenon_H38 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.22 apply (zenon_L543_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L9_); trivial.
% 1.07/1.22 apply (zenon_L231_); trivial.
% 1.07/1.22 apply (zenon_L44_); trivial.
% 1.07/1.22 (* end of lemma zenon_L828_ *)
% 1.07/1.22 assert (zenon_L829_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.22 apply (zenon_L828_); trivial.
% 1.07/1.22 apply (zenon_L50_); trivial.
% 1.07/1.22 (* end of lemma zenon_L829_ *)
% 1.07/1.22 assert (zenon_L830_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.22 apply (zenon_L828_); trivial.
% 1.07/1.22 apply (zenon_L28_); trivial.
% 1.07/1.22 (* end of lemma zenon_L830_ *)
% 1.07/1.22 assert (zenon_L831_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H43 zenon_H47 zenon_H72.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.22 apply (zenon_L829_); trivial.
% 1.07/1.22 apply (zenon_L830_); trivial.
% 1.07/1.22 (* end of lemma zenon_L831_ *)
% 1.07/1.22 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L785_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 (* end of lemma zenon_L832_ *)
% 1.07/1.22 assert (zenon_L833_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H19a zenon_H283 zenon_H2d zenon_H1bd zenon_H19 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_L795_); trivial.
% 1.07/1.22 apply (zenon_L239_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L831_); trivial.
% 1.07/1.22 apply (zenon_L832_); trivial.
% 1.07/1.22 apply (zenon_L233_); trivial.
% 1.07/1.22 apply (zenon_L239_); trivial.
% 1.07/1.22 (* end of lemma zenon_L833_ *)
% 1.07/1.22 assert (zenon_L834_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H20e zenon_H141 zenon_H121 zenon_H11f zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.22 apply (zenon_L833_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L242_); trivial.
% 1.07/1.22 apply (zenon_L832_); trivial.
% 1.07/1.22 apply (zenon_L389_); trivial.
% 1.07/1.22 apply (zenon_L246_); trivial.
% 1.07/1.22 (* end of lemma zenon_L834_ *)
% 1.07/1.22 assert (zenon_L835_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.22 apply (zenon_L810_); trivial.
% 1.07/1.22 apply (zenon_L255_); trivial.
% 1.07/1.22 (* end of lemma zenon_L835_ *)
% 1.07/1.22 assert (zenon_L836_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_H188 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L151_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L86_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L835_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 apply (zenon_L260_); trivial.
% 1.07/1.22 (* end of lemma zenon_L836_ *)
% 1.07/1.22 assert (zenon_L837_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H188 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hf5 zenon_H151.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.22 apply (zenon_L836_); trivial.
% 1.07/1.22 apply (zenon_L264_); trivial.
% 1.07/1.22 (* end of lemma zenon_L837_ *)
% 1.07/1.22 assert (zenon_L838_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.22 apply (zenon_L79_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_L48_); trivial.
% 1.07/1.22 apply (zenon_L207_); trivial.
% 1.07/1.22 (* end of lemma zenon_L838_ *)
% 1.07/1.22 assert (zenon_L839_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L838_); trivial.
% 1.07/1.22 apply (zenon_L266_); trivial.
% 1.07/1.22 (* end of lemma zenon_L839_ *)
% 1.07/1.22 assert (zenon_L840_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H5f zenon_H1b1 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_H159 zenon_H15b zenon_H15a zenon_H3c zenon_H3b zenon_H3a zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H24d zenon_H38.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.22 apply (zenon_L779_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.22 apply (zenon_L436_); trivial.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.22 apply (zenon_L366_); trivial.
% 1.07/1.22 apply (zenon_L78_); trivial.
% 1.07/1.22 apply (zenon_L328_); trivial.
% 1.07/1.22 (* end of lemma zenon_L840_ *)
% 1.07/1.22 assert (zenon_L841_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.22 apply (zenon_L240_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.22 apply (zenon_L840_); trivial.
% 1.07/1.22 apply (zenon_L814_); trivial.
% 1.07/1.22 (* end of lemma zenon_L841_ *)
% 1.07/1.22 assert (zenon_L842_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L86_); trivial.
% 1.07/1.22 apply (zenon_L841_); trivial.
% 1.07/1.22 (* end of lemma zenon_L842_ *)
% 1.07/1.22 assert (zenon_L843_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H106 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.22 apply (zenon_L787_); trivial.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.22 apply (zenon_L788_); trivial.
% 1.07/1.22 apply (zenon_L281_); trivial.
% 1.07/1.22 (* end of lemma zenon_L843_ *)
% 1.07/1.22 assert (zenon_L844_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_H141 zenon_H111 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.22 apply (zenon_L843_); trivial.
% 1.07/1.22 apply (zenon_L414_); trivial.
% 1.07/1.22 (* end of lemma zenon_L844_ *)
% 1.07/1.22 assert (zenon_L845_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.22 do 0 intro. intros zenon_H19b zenon_H141 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.23 apply (zenon_L795_); trivial.
% 1.07/1.23 apply (zenon_L844_); trivial.
% 1.07/1.23 (* end of lemma zenon_L845_ *)
% 1.07/1.23 assert (zenon_L846_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H141 zenon_H19b.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.23 apply (zenon_L845_); trivial.
% 1.07/1.23 apply (zenon_L147_); trivial.
% 1.07/1.23 (* end of lemma zenon_L846_ *)
% 1.07/1.23 assert (zenon_L847_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H38 zenon_H141 zenon_H2f zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H17a zenon_H188 zenon_He0 zenon_Hae zenon_H32 zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H19b.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.23 apply (zenon_L376_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_L374_); trivial.
% 1.07/1.23 apply (zenon_L798_); trivial.
% 1.07/1.23 apply (zenon_L735_); trivial.
% 1.07/1.23 apply (zenon_L54_); trivial.
% 1.07/1.23 apply (zenon_L143_); trivial.
% 1.07/1.23 apply (zenon_L147_); trivial.
% 1.07/1.23 (* end of lemma zenon_L847_ *)
% 1.07/1.23 assert (zenon_L848_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H20e zenon_H19 zenon_H25d zenon_H138 zenon_H19b zenon_H141 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H85 zenon_H87 zenon_H19a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.23 apply (zenon_L846_); trivial.
% 1.07/1.23 apply (zenon_L847_); trivial.
% 1.07/1.23 (* end of lemma zenon_L848_ *)
% 1.07/1.23 assert (zenon_L849_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H229 zenon_H9d zenon_H9a zenon_H98 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_L275_); trivial.
% 1.07/1.23 (* end of lemma zenon_L849_ *)
% 1.07/1.23 assert (zenon_L850_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.23 apply (zenon_L849_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_L276_); trivial.
% 1.07/1.23 (* end of lemma zenon_L850_ *)
% 1.07/1.23 assert (zenon_L851_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5f.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_L799_); trivial.
% 1.07/1.23 apply (zenon_L313_); trivial.
% 1.07/1.23 (* end of lemma zenon_L851_ *)
% 1.07/1.23 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.23 apply (zenon_L851_); trivial.
% 1.07/1.23 apply (zenon_L288_); trivial.
% 1.07/1.23 (* end of lemma zenon_L852_ *)
% 1.07/1.23 assert (zenon_L853_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H19b zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H5e zenon_H49 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H188 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_He0 zenon_H111 zenon_Hf5 zenon_H151.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.23 apply (zenon_L151_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.23 apply (zenon_L79_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.23 apply (zenon_L81_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_L850_); trivial.
% 1.07/1.23 apply (zenon_L207_); trivial.
% 1.07/1.23 apply (zenon_L281_); trivial.
% 1.07/1.23 apply (zenon_L852_); trivial.
% 1.07/1.23 (* end of lemma zenon_L853_ *)
% 1.07/1.23 assert (zenon_L854_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf5 zenon_H283 zenon_H2d zenon_Hee zenon_Hec zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H1b1 zenon_Hd1 zenon_H24b zenon_Hae zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L838_); trivial.
% 1.07/1.23 apply (zenon_L827_); trivial.
% 1.07/1.23 (* end of lemma zenon_L854_ *)
% 1.07/1.23 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a24)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp2)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H238 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H109 zenon_H108 zenon_H43 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H10a zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H2d.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ].
% 1.07/1.23 apply (zenon_L291_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ].
% 1.07/1.23 apply (zenon_L377_); trivial.
% 1.07/1.23 exact (zenon_H2d zenon_H2e).
% 1.07/1.23 (* end of lemma zenon_L855_ *)
% 1.07/1.23 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.07/1.23 apply (zenon_L6_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.07/1.23 apply (zenon_L152_); trivial.
% 1.07/1.23 apply (zenon_L204_); trivial.
% 1.07/1.23 (* end of lemma zenon_L856_ *)
% 1.07/1.23 assert (zenon_L857_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_L856_); trivial.
% 1.07/1.23 (* end of lemma zenon_L857_ *)
% 1.07/1.23 assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.07/1.23 apply (zenon_L155_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.07/1.23 apply (zenon_L500_); trivial.
% 1.07/1.23 apply (zenon_L307_); trivial.
% 1.07/1.23 (* end of lemma zenon_L858_ *)
% 1.07/1.23 assert (zenon_L859_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H20e zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H141 zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.23 apply (zenon_L833_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.23 apply (zenon_L376_); trivial.
% 1.07/1.23 apply (zenon_L239_); trivial.
% 1.07/1.23 (* end of lemma zenon_L859_ *)
% 1.07/1.23 assert (zenon_L860_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H1b9 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hc5 zenon_Hfa zenon_H162 zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.07/1.23 apply (zenon_L271_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.07/1.23 apply (zenon_L437_); trivial.
% 1.07/1.23 apply (zenon_L17_); trivial.
% 1.07/1.23 (* end of lemma zenon_L860_ *)
% 1.07/1.23 assert (zenon_L861_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_Hfa zenon_Hf8 zenon_H22b zenon_H3a zenon_H3b zenon_H3c zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.23 apply (zenon_L436_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.23 apply (zenon_L860_); trivial.
% 1.07/1.23 apply (zenon_L78_); trivial.
% 1.07/1.23 (* end of lemma zenon_L861_ *)
% 1.07/1.23 assert (zenon_L862_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hc zenon_Hd zenon_He zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H77 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 1.07/1.23 apply (zenon_L251_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 1.07/1.23 apply (zenon_L183_); trivial.
% 1.07/1.23 exact (zenon_H11f zenon_H120).
% 1.07/1.23 (* end of lemma zenon_L862_ *)
% 1.07/1.23 assert (zenon_L863_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hc zenon_Hd zenon_He zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H77 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 1.07/1.23 apply (zenon_L161_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 1.07/1.23 apply (zenon_L183_); trivial.
% 1.07/1.23 exact (zenon_H11f zenon_H120).
% 1.07/1.23 (* end of lemma zenon_L863_ *)
% 1.07/1.23 assert (zenon_L864_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H60 zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H74 zenon_H77 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.23 apply (zenon_L862_); trivial.
% 1.07/1.23 apply (zenon_L863_); trivial.
% 1.07/1.23 (* end of lemma zenon_L864_ *)
% 1.07/1.23 assert (zenon_L865_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H5f zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H77 zenon_H74 zenon_H11f zenon_H121.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_L336_); trivial.
% 1.07/1.23 apply (zenon_L864_); trivial.
% 1.07/1.23 (* end of lemma zenon_L865_ *)
% 1.07/1.23 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_L865_); trivial.
% 1.07/1.23 apply (zenon_L814_); trivial.
% 1.07/1.23 (* end of lemma zenon_L866_ *)
% 1.07/1.23 assert (zenon_L867_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_Hae zenon_H1b1 zenon_H9a zenon_H9d zenon_H5a zenon_H1bd zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_Hf5.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L838_); trivial.
% 1.07/1.23 apply (zenon_L866_); trivial.
% 1.07/1.23 apply (zenon_L332_); trivial.
% 1.07/1.23 (* end of lemma zenon_L867_ *)
% 1.07/1.23 assert (zenon_L868_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H24d zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.23 apply (zenon_L79_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.23 apply (zenon_L331_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.07/1.23 apply (zenon_L305_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.07/1.23 apply (zenon_L152_); trivial.
% 1.07/1.23 apply (zenon_L204_); trivial.
% 1.07/1.23 apply (zenon_L78_); trivial.
% 1.07/1.23 apply (zenon_L207_); trivial.
% 1.07/1.23 (* end of lemma zenon_L868_ *)
% 1.07/1.23 assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H11f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 1.07/1.23 apply (zenon_L145_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.07/1.23 apply (zenon_L145_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.07/1.23 apply (zenon_L119_); trivial.
% 1.07/1.23 apply (zenon_L213_); trivial.
% 1.07/1.23 exact (zenon_H11f zenon_H120).
% 1.07/1.23 (* end of lemma zenon_L869_ *)
% 1.07/1.23 assert (zenon_L870_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H18f zenon_H18e zenon_H18d zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_L336_); trivial.
% 1.07/1.23 apply (zenon_L343_); trivial.
% 1.07/1.23 (* end of lemma zenon_L870_ *)
% 1.07/1.23 assert (zenon_L871_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H14e zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H1ec zenon_H24d zenon_H5a zenon_H5f zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb4 zenon_H38 zenon_H111 zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121 zenon_Hf5.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L838_); trivial.
% 1.07/1.23 apply (zenon_L869_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L868_); trivial.
% 1.07/1.23 apply (zenon_L870_); trivial.
% 1.07/1.23 apply (zenon_L332_); trivial.
% 1.07/1.23 (* end of lemma zenon_L871_ *)
% 1.07/1.23 assert (zenon_L872_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H1ec zenon_H24d zenon_H5a zenon_H5f zenon_Hf6 zenon_He0 zenon_Hb4 zenon_H111 zenon_H1bd zenon_H1bb zenon_H162 zenon_Hf5 zenon_H38 zenon_Hc0 zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.23 apply (zenon_L220_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.23 apply (zenon_L820_); trivial.
% 1.07/1.23 apply (zenon_L871_); trivial.
% 1.07/1.23 (* end of lemma zenon_L872_ *)
% 1.07/1.23 assert (zenon_L873_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H5f zenon_H1b1 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H24d zenon_H38.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_L367_); trivial.
% 1.07/1.23 apply (zenon_L370_); trivial.
% 1.07/1.23 (* end of lemma zenon_L873_ *)
% 1.07/1.23 assert (zenon_L874_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_L873_); trivial.
% 1.07/1.23 apply (zenon_L814_); trivial.
% 1.07/1.23 (* end of lemma zenon_L874_ *)
% 1.07/1.23 assert (zenon_L875_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H24b zenon_Hd1 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H74 zenon_H76 zenon_H77 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_L486_); trivial.
% 1.07/1.23 (* end of lemma zenon_L875_ *)
% 1.07/1.23 assert (zenon_L876_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H14c zenon_H5a zenon_Hf6 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb4 zenon_H111 zenon_H24b zenon_Hd1 zenon_H162 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_Hf5 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hec zenon_H16e zenon_H178 zenon_H17a zenon_H188.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.23 apply (zenon_L807_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L838_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_L127_); trivial.
% 1.07/1.23 apply (zenon_L875_); trivial.
% 1.07/1.23 apply (zenon_L138_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L868_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_L873_); trivial.
% 1.07/1.23 apply (zenon_L138_); trivial.
% 1.07/1.23 apply (zenon_L332_); trivial.
% 1.07/1.23 (* end of lemma zenon_L876_ *)
% 1.07/1.23 assert (zenon_L877_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H168 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H205 zenon_H204 zenon_H203 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H108 zenon_H109 zenon_H10a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.23 apply (zenon_L331_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.07/1.23 apply (zenon_L305_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.07/1.23 apply (zenon_L152_); trivial.
% 1.07/1.23 apply (zenon_L348_); trivial.
% 1.07/1.23 apply (zenon_L78_); trivial.
% 1.07/1.23 (* end of lemma zenon_L877_ *)
% 1.07/1.23 assert (zenon_L878_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H24d zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.07/1.23 apply (zenon_L79_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.23 apply (zenon_L331_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.07/1.23 apply (zenon_L271_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.07/1.23 apply (zenon_L437_); trivial.
% 1.07/1.23 apply (zenon_L438_); trivial.
% 1.07/1.23 apply (zenon_L78_); trivial.
% 1.07/1.23 apply (zenon_L207_); trivial.
% 1.07/1.23 (* end of lemma zenon_L878_ *)
% 1.07/1.23 assert (zenon_L879_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.07/1.23 apply (zenon_L145_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.07/1.23 apply (zenon_L87_); trivial.
% 1.07/1.23 apply (zenon_L327_); trivial.
% 1.07/1.23 (* end of lemma zenon_L879_ *)
% 1.07/1.23 assert (zenon_L880_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hab zenon_H38 zenon_H24b zenon_Hd1 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 1.07/1.23 apply (zenon_L879_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 1.07/1.23 apply (zenon_L660_); trivial.
% 1.07/1.23 exact (zenon_Hd1 zenon_Hd2).
% 1.07/1.23 (* end of lemma zenon_L880_ *)
% 1.07/1.23 assert (zenon_L881_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L368_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.07/1.23 apply (zenon_L331_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 1.07/1.23 apply (zenon_L879_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 1.07/1.23 apply (zenon_L305_); trivial.
% 1.07/1.23 exact (zenon_Hd1 zenon_Hd2).
% 1.07/1.23 apply (zenon_L78_); trivial.
% 1.07/1.23 (* end of lemma zenon_L881_ *)
% 1.07/1.23 assert (zenon_L882_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H18f zenon_H18e zenon_H18d zenon_H24b zenon_Hd1 zenon_H14c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf6.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L878_); trivial.
% 1.07/1.23 apply (zenon_L881_); trivial.
% 1.07/1.23 (* end of lemma zenon_L882_ *)
% 1.07/1.23 assert (zenon_L883_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H24b zenon_Hd1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.23 apply (zenon_L779_); trivial.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 1.07/1.23 apply (zenon_L879_); trivial.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 1.07/1.23 apply (zenon_L6_); trivial.
% 1.07/1.23 exact (zenon_Hd1 zenon_Hd2).
% 1.07/1.23 (* end of lemma zenon_L883_ *)
% 1.07/1.23 assert (zenon_L884_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_H1bd zenon_H15b zenon_H15a zenon_H159 zenon_H18f zenon_H18e zenon_H18d zenon_H24b zenon_Hd1 zenon_H14c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.23 apply (zenon_L868_); trivial.
% 1.07/1.23 apply (zenon_L881_); trivial.
% 1.07/1.23 (* end of lemma zenon_L884_ *)
% 1.07/1.23 assert (zenon_L885_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H188 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H38 zenon_H5f.
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.23 apply (zenon_L25_); trivial.
% 1.07/1.23 apply (zenon_L798_); trivial.
% 1.07/1.23 apply (zenon_L222_); trivial.
% 1.07/1.23 (* end of lemma zenon_L885_ *)
% 1.07/1.23 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False).
% 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H43 zenon_H141 zenon_H265 zenon_H264 zenon_H263 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.07/1.24 apply (zenon_L516_); trivial.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.07/1.24 apply (zenon_L386_); trivial.
% 1.07/1.24 apply (zenon_L132_); trivial.
% 1.07/1.24 (* end of lemma zenon_L886_ *)
% 1.07/1.24 assert (zenon_L887_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H43 zenon_H141 zenon_H265 zenon_H264 zenon_H263.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.07/1.24 apply (zenon_L516_); trivial.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.07/1.24 apply (zenon_L386_); trivial.
% 1.07/1.24 apply (zenon_L136_); trivial.
% 1.07/1.24 (* end of lemma zenon_L887_ *)
% 1.07/1.24 assert (zenon_L888_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H265 zenon_H264 zenon_H263.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.07/1.24 apply (zenon_L116_); trivial.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.07/1.24 apply (zenon_L386_); trivial.
% 1.07/1.24 apply (zenon_L136_); trivial.
% 1.07/1.24 (* end of lemma zenon_L888_ *)
% 1.07/1.24 assert (zenon_L889_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H199 zenon_H19b zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H85 zenon_H138 zenon_H38 zenon_H5f zenon_He0 zenon_H1b9 zenon_Hf5 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_L417_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.24 apply (zenon_L885_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_L886_); trivial.
% 1.07/1.24 apply (zenon_L887_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_L785_); trivial.
% 1.07/1.24 apply (zenon_L888_); trivial.
% 1.07/1.24 apply (zenon_L125_); trivial.
% 1.07/1.24 (* end of lemma zenon_L889_ *)
% 1.07/1.24 assert (zenon_L890_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H20e zenon_H19b zenon_H141 zenon_H5a zenon_H14a zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H47 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151 zenon_H87 zenon_H19a.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_L390_); trivial.
% 1.07/1.24 apply (zenon_L802_); trivial.
% 1.07/1.24 apply (zenon_L147_); trivial.
% 1.07/1.24 apply (zenon_L889_); trivial.
% 1.07/1.24 (* end of lemma zenon_L890_ *)
% 1.07/1.24 assert (zenon_L891_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_L817_); trivial.
% 1.07/1.24 apply (zenon_L556_); trivial.
% 1.07/1.24 (* end of lemma zenon_L891_ *)
% 1.07/1.24 assert (zenon_L892_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H151 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_L151_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.24 apply (zenon_L387_); trivial.
% 1.07/1.24 apply (zenon_L891_); trivial.
% 1.07/1.24 (* end of lemma zenon_L892_ *)
% 1.07/1.24 assert (zenon_L893_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_L396_); trivial.
% 1.07/1.24 apply (zenon_L556_); trivial.
% 1.07/1.24 (* end of lemma zenon_L893_ *)
% 1.07/1.24 assert (zenon_L894_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_L893_); trivial.
% 1.07/1.24 apply (zenon_L823_); trivial.
% 1.07/1.24 (* end of lemma zenon_L894_ *)
% 1.07/1.24 assert (zenon_L895_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H60 zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_L169_); trivial.
% 1.07/1.24 (* end of lemma zenon_L895_ *)
% 1.07/1.24 assert (zenon_L896_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H121 zenon_H11f zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H5f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.07/1.24 apply (zenon_L165_); trivial.
% 1.07/1.24 apply (zenon_L895_); trivial.
% 1.07/1.24 apply (zenon_L556_); trivial.
% 1.07/1.24 (* end of lemma zenon_L896_ *)
% 1.07/1.24 assert (zenon_L897_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_Hc4 zenon_H188 zenon_H1b9 zenon_H121 zenon_H11f zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H5f zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.07/1.24 apply (zenon_L387_); trivial.
% 1.07/1.24 apply (zenon_L896_); trivial.
% 1.07/1.24 (* end of lemma zenon_L897_ *)
% 1.07/1.24 assert (zenon_L898_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf6 zenon_H201 zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H1ec zenon_H1bf zenon_He0 zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H5f zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_H19b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_L892_); trivial.
% 1.07/1.24 apply (zenon_L894_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_L388_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.24 apply (zenon_L897_); trivial.
% 1.07/1.24 apply (zenon_L403_); trivial.
% 1.07/1.24 apply (zenon_L894_); trivial.
% 1.07/1.24 (* end of lemma zenon_L898_ *)
% 1.07/1.24 assert (zenon_L899_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_Hab zenon_H38 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H205 zenon_H204 zenon_H203 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.07/1.24 apply (zenon_L161_); trivial.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.07/1.24 apply (zenon_L237_); trivial.
% 1.07/1.24 apply (zenon_L545_); trivial.
% 1.07/1.24 (* end of lemma zenon_L899_ *)
% 1.07/1.24 assert (zenon_L900_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H19b zenon_H1bd zenon_H1bb zenon_H162 zenon_H1b9 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_H265 zenon_H264 zenon_H263 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_H151.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_L447_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_L893_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.07/1.24 apply (zenon_L251_); trivial.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.07/1.24 apply (zenon_L237_); trivial.
% 1.07/1.24 apply (zenon_L545_); trivial.
% 1.07/1.24 apply (zenon_L899_); trivial.
% 1.07/1.24 apply (zenon_L556_); trivial.
% 1.07/1.24 (* end of lemma zenon_L900_ *)
% 1.07/1.24 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_H5a zenon_He0 zenon_Ha1 zenon_H127 zenon_H24d zenon_Hf5 zenon_H106 zenon_Hae zenon_H14c zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.07/1.24 apply (zenon_L408_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.24 apply (zenon_L900_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.07/1.24 apply (zenon_L151_); trivial.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.07/1.24 apply (zenon_L897_); trivial.
% 1.07/1.24 apply (zenon_L495_); trivial.
% 1.07/1.24 apply (zenon_L246_); trivial.
% 1.07/1.24 (* end of lemma zenon_L901_ *)
% 1.07/1.24 assert (zenon_L902_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_H19 zenon_H8d zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H17a zenon_H188 zenon_He0 zenon_Hee zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.07/1.24 apply (zenon_L416_); trivial.
% 1.07/1.24 apply (zenon_L847_); trivial.
% 1.07/1.24 (* end of lemma zenon_L902_ *)
% 1.07/1.24 assert (zenon_L903_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.07/1.24 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.07/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.07/1.24 apply (zenon_L779_); trivial.
% 1.07/1.24 apply (zenon_L428_); trivial.
% 1.07/1.24 (* end of lemma zenon_L903_ *)
% 1.07/1.24 assert (zenon_L904_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H1 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.24 apply (zenon_L4_); trivial.
% 1.11/1.24 apply (zenon_L903_); trivial.
% 1.11/1.24 apply (zenon_L430_); trivial.
% 1.11/1.24 (* end of lemma zenon_L904_ *)
% 1.11/1.24 assert (zenon_L905_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.24 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H43 zenon_He0 zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.24 apply (zenon_L79_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.24 apply (zenon_L904_); trivial.
% 1.11/1.24 apply (zenon_L420_); trivial.
% 1.11/1.24 (* end of lemma zenon_L905_ *)
% 1.11/1.24 assert (zenon_L906_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H162 zenon_H1e zenon_H1d zenon_H26 zenon_H109 zenon_H10a zenon_H108 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.11/1.24 apply (zenon_L660_); trivial.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.11/1.24 apply (zenon_L152_); trivial.
% 1.11/1.24 apply (zenon_L173_); trivial.
% 1.11/1.24 (* end of lemma zenon_L906_ *)
% 1.11/1.24 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.24 apply (zenon_L779_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.24 apply (zenon_L419_); trivial.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.24 apply (zenon_L161_); trivial.
% 1.11/1.24 apply (zenon_L906_); trivial.
% 1.11/1.24 (* end of lemma zenon_L907_ *)
% 1.11/1.24 assert (zenon_L908_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hee zenon_Hec zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H22b zenon_H38 zenon_Hae.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.24 apply (zenon_L65_); trivial.
% 1.11/1.24 apply (zenon_L907_); trivial.
% 1.11/1.24 apply (zenon_L556_); trivial.
% 1.11/1.24 (* end of lemma zenon_L908_ *)
% 1.11/1.24 assert (zenon_L909_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H212 zenon_H211 zenon_H210 zenon_H162 zenon_H1b1 zenon_H22b zenon_H5f zenon_He0 zenon_H72 zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.24 apply (zenon_L893_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.24 apply (zenon_L905_); trivial.
% 1.11/1.24 apply (zenon_L425_); trivial.
% 1.11/1.24 (* end of lemma zenon_L909_ *)
% 1.11/1.24 assert (zenon_L910_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H19b zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H188 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H1aa zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_He0 zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.24 apply (zenon_L151_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.24 apply (zenon_L411_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.24 apply (zenon_L81_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.24 apply (zenon_L850_); trivial.
% 1.11/1.24 apply (zenon_L556_); trivial.
% 1.11/1.24 apply (zenon_L281_); trivial.
% 1.11/1.24 apply (zenon_L421_); trivial.
% 1.11/1.24 (* end of lemma zenon_L910_ *)
% 1.11/1.24 assert (zenon_L911_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H189 zenon_H24d zenon_H212 zenon_H211 zenon_H210 zenon_H162 zenon_H1b1 zenon_H22b zenon_H1bb zenon_H14c zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb4 zenon_H38 zenon_H111 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Hf0 zenon_H72 zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.24 apply (zenon_L388_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.24 apply (zenon_L839_); trivial.
% 1.11/1.24 apply (zenon_L441_); trivial.
% 1.11/1.24 (* end of lemma zenon_L911_ *)
% 1.11/1.24 assert (zenon_L912_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H72 zenon_Hf0 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_Hb4 zenon_H14c zenon_H1bb zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H19b.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.24 apply (zenon_L910_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.24 apply (zenon_L911_); trivial.
% 1.11/1.24 apply (zenon_L246_); trivial.
% 1.11/1.24 (* end of lemma zenon_L912_ *)
% 1.11/1.24 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_Hb4 zenon_H14c zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H22b zenon_H188 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_Hc0 zenon_H20e.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.24 apply (zenon_L435_); trivial.
% 1.11/1.24 apply (zenon_L912_); trivial.
% 1.11/1.24 (* end of lemma zenon_L913_ *)
% 1.11/1.24 assert (zenon_L914_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H265 zenon_H264 zenon_H263 zenon_H5f zenon_H38 zenon_H1aa zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5a zenon_H11f zenon_H121 zenon_H1b9 zenon_H188 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.24 apply (zenon_L151_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.24 apply (zenon_L897_); trivial.
% 1.11/1.24 apply (zenon_L332_); trivial.
% 1.11/1.24 (* end of lemma zenon_L914_ *)
% 1.11/1.24 assert (zenon_L915_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H77 zenon_H74 zenon_H11f zenon_H121.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.24 apply (zenon_L336_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.24 apply (zenon_L779_); trivial.
% 1.11/1.24 apply (zenon_L337_); trivial.
% 1.11/1.24 (* end of lemma zenon_L915_ *)
% 1.11/1.24 assert (zenon_L916_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H38 zenon_H5f.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.24 apply (zenon_L915_); trivial.
% 1.11/1.24 apply (zenon_L556_); trivial.
% 1.11/1.24 (* end of lemma zenon_L916_ *)
% 1.11/1.24 assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H72 zenon_H20c zenon_H5a zenon_H5f zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bb zenon_H1bd zenon_H19b.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.24 apply (zenon_L900_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.24 apply (zenon_L914_); trivial.
% 1.11/1.24 apply (zenon_L246_); trivial.
% 1.11/1.24 (* end of lemma zenon_L917_ *)
% 1.11/1.24 assert (zenon_L918_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Hfa zenon_Hf8 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.24 apply (zenon_L779_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.11/1.24 apply (zenon_L331_); trivial.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.11/1.24 apply (zenon_L439_); trivial.
% 1.11/1.24 apply (zenon_L78_); trivial.
% 1.11/1.24 (* end of lemma zenon_L918_ *)
% 1.11/1.24 assert (zenon_L919_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf6.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.24 apply (zenon_L878_); trivial.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.24 apply (zenon_L918_); trivial.
% 1.11/1.24 apply (zenon_L814_); trivial.
% 1.11/1.24 (* end of lemma zenon_L919_ *)
% 1.11/1.24 assert (zenon_L920_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106.
% 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.24 apply (zenon_L794_); trivial.
% 1.11/1.24 apply (zenon_L689_); trivial.
% 1.11/1.24 (* end of lemma zenon_L920_ *)
% 1.11/1.24 assert (zenon_L921_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.24 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_L920_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L801_); trivial.
% 1.11/1.25 apply (zenon_L108_); trivial.
% 1.11/1.25 apply (zenon_L147_); trivial.
% 1.11/1.25 (* end of lemma zenon_L921_ *)
% 1.11/1.25 assert (zenon_L922_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Ha1 zenon_H38 zenon_H11a zenon_H17 zenon_H285 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H1 zenon_H32.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.25 apply (zenon_L453_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.25 apply (zenon_L779_); trivial.
% 1.11/1.25 apply (zenon_L474_); trivial.
% 1.11/1.25 (* end of lemma zenon_L922_ *)
% 1.11/1.25 assert (zenon_L923_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H141 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_H1b1 zenon_H32 zenon_H270 zenon_H271 zenon_H1 zenon_H285 zenon_H14a zenon_H1b9 zenon_H38 zenon_Ha1.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.25 apply (zenon_L37_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.25 apply (zenon_L779_); trivial.
% 1.11/1.25 apply (zenon_L517_); trivial.
% 1.11/1.25 apply (zenon_L798_); trivial.
% 1.11/1.25 (* end of lemma zenon_L923_ *)
% 1.11/1.25 assert (zenon_L924_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H199 zenon_H19b zenon_He0 zenon_H106 zenon_H14c zenon_H166 zenon_H1b9 zenon_Hf6 zenon_H141 zenon_H72 zenon_H47 zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L922_); trivial.
% 1.11/1.25 apply (zenon_L222_); trivial.
% 1.11/1.25 apply (zenon_L50_); trivial.
% 1.11/1.25 apply (zenon_L54_); trivial.
% 1.11/1.25 apply (zenon_L124_); trivial.
% 1.11/1.25 apply (zenon_L804_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L922_); trivial.
% 1.11/1.25 apply (zenon_L519_); trivial.
% 1.11/1.25 apply (zenon_L50_); trivial.
% 1.11/1.25 apply (zenon_L54_); trivial.
% 1.11/1.25 apply (zenon_L124_); trivial.
% 1.11/1.25 apply (zenon_L120_); trivial.
% 1.11/1.25 apply (zenon_L125_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L885_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L923_); trivial.
% 1.11/1.25 apply (zenon_L519_); trivial.
% 1.11/1.25 apply (zenon_L50_); trivial.
% 1.11/1.25 apply (zenon_L54_); trivial.
% 1.11/1.25 apply (zenon_L100_); trivial.
% 1.11/1.25 apply (zenon_L120_); trivial.
% 1.11/1.25 apply (zenon_L125_); trivial.
% 1.11/1.25 (* end of lemma zenon_L924_ *)
% 1.11/1.25 assert (zenon_L925_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H14c zenon_H166 zenon_H285 zenon_H271 zenon_H270 zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H121 zenon_H11f zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151 zenon_H87 zenon_H19a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.25 apply (zenon_L921_); trivial.
% 1.11/1.25 apply (zenon_L924_); trivial.
% 1.11/1.25 (* end of lemma zenon_L925_ *)
% 1.11/1.25 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L817_); trivial.
% 1.11/1.25 apply (zenon_L507_); trivial.
% 1.11/1.25 (* end of lemma zenon_L926_ *)
% 1.11/1.25 assert (zenon_L927_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hc4 zenon_H138 zenon_H85 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H178 zenon_H17a zenon_H5f zenon_H188.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L812_); trivial.
% 1.11/1.25 apply (zenon_L467_); trivial.
% 1.11/1.25 apply (zenon_L926_); trivial.
% 1.11/1.25 (* end of lemma zenon_L927_ *)
% 1.11/1.25 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H185 zenon_Hae zenon_H283 zenon_H2d zenon_H38 zenon_H121 zenon_H11f zenon_H17 zenon_H8b zenon_H11a zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H127 zenon_Ha1.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.25 apply (zenon_L253_); trivial.
% 1.11/1.25 apply (zenon_L813_); trivial.
% 1.11/1.25 (* end of lemma zenon_L928_ *)
% 1.11/1.25 assert (zenon_L929_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H151 zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H1aa zenon_H14c zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H85 zenon_H138 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L151_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L927_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L282_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L812_); trivial.
% 1.11/1.25 apply (zenon_L928_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L817_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.25 apply (zenon_L392_); trivial.
% 1.11/1.25 apply (zenon_L813_); trivial.
% 1.11/1.25 (* end of lemma zenon_L929_ *)
% 1.11/1.25 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H201 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_L220_); trivial.
% 1.11/1.25 apply (zenon_L824_); trivial.
% 1.11/1.25 (* end of lemma zenon_L930_ *)
% 1.11/1.25 assert (zenon_L931_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H3 zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.25 apply (zenon_L779_); trivial.
% 1.11/1.25 apply (zenon_L484_); trivial.
% 1.11/1.25 (* end of lemma zenon_L931_ *)
% 1.11/1.25 assert (zenon_L932_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.25 apply (zenon_L931_); trivial.
% 1.11/1.25 apply (zenon_L875_); trivial.
% 1.11/1.25 apply (zenon_L467_); trivial.
% 1.11/1.25 (* end of lemma zenon_L932_ *)
% 1.11/1.25 assert (zenon_L933_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L86_); trivial.
% 1.11/1.25 apply (zenon_L932_); trivial.
% 1.11/1.25 (* end of lemma zenon_L933_ *)
% 1.11/1.25 assert (zenon_L934_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L457_); trivial.
% 1.11/1.25 apply (zenon_L786_); trivial.
% 1.11/1.25 (* end of lemma zenon_L934_ *)
% 1.11/1.25 assert (zenon_L935_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H3a zenon_H3b zenon_H3c zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.25 apply (zenon_L243_); trivial.
% 1.11/1.25 apply (zenon_L354_); trivial.
% 1.11/1.25 (* end of lemma zenon_L935_ *)
% 1.11/1.25 assert (zenon_L936_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L785_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.25 apply (zenon_L42_); trivial.
% 1.11/1.25 apply (zenon_L935_); trivial.
% 1.11/1.25 apply (zenon_L137_); trivial.
% 1.11/1.25 (* end of lemma zenon_L936_ *)
% 1.11/1.25 assert (zenon_L937_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L934_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L457_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_L454_); trivial.
% 1.11/1.25 apply (zenon_L936_); trivial.
% 1.11/1.25 apply (zenon_L54_); trivial.
% 1.11/1.25 (* end of lemma zenon_L937_ *)
% 1.11/1.25 assert (zenon_L938_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H17 zenon_H19 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L785_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.25 apply (zenon_L466_); trivial.
% 1.11/1.25 apply (zenon_L113_); trivial.
% 1.11/1.25 (* end of lemma zenon_L938_ *)
% 1.11/1.25 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H185 zenon_H5f zenon_H38 zenon_H14a zenon_H77 zenon_H74 zenon_H76 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H3a zenon_H3b zenon_H3c zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.25 apply (zenon_L791_); trivial.
% 1.11/1.25 apply (zenon_L113_); trivial.
% 1.11/1.25 (* end of lemma zenon_L939_ *)
% 1.11/1.25 assert (zenon_L940_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L785_); trivial.
% 1.11/1.25 apply (zenon_L939_); trivial.
% 1.11/1.25 (* end of lemma zenon_L940_ *)
% 1.11/1.25 assert (zenon_L941_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H205 zenon_H204 zenon_H203 zenon_H32 zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H1.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.11/1.25 apply (zenon_L145_); trivial.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.11/1.25 apply (zenon_L237_); trivial.
% 1.11/1.25 apply (zenon_L472_); trivial.
% 1.11/1.25 (* end of lemma zenon_L941_ *)
% 1.11/1.25 assert (zenon_L942_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_L941_); trivial.
% 1.11/1.25 apply (zenon_L28_); trivial.
% 1.11/1.25 (* end of lemma zenon_L942_ *)
% 1.11/1.25 assert (zenon_L943_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H72 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd zenon_H111.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.25 apply (zenon_L79_); trivial.
% 1.11/1.25 apply (zenon_L942_); trivial.
% 1.11/1.25 (* end of lemma zenon_L943_ *)
% 1.11/1.25 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L491_); trivial.
% 1.11/1.25 apply (zenon_L943_); trivial.
% 1.11/1.25 (* end of lemma zenon_L944_ *)
% 1.11/1.25 assert (zenon_L945_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H19b zenon_H1bb zenon_H121 zenon_H11f zenon_H1b9 zenon_H283 zenon_H2d zenon_H19 zenon_H1bd zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L937_); trivial.
% 1.11/1.25 apply (zenon_L461_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L457_); trivial.
% 1.11/1.25 apply (zenon_L938_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L457_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_L454_); trivial.
% 1.11/1.25 apply (zenon_L940_); trivial.
% 1.11/1.25 apply (zenon_L219_); trivial.
% 1.11/1.25 apply (zenon_L943_); trivial.
% 1.11/1.25 apply (zenon_L944_); trivial.
% 1.11/1.25 (* end of lemma zenon_L945_ *)
% 1.11/1.25 assert (zenon_L946_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L242_); trivial.
% 1.11/1.25 apply (zenon_L786_); trivial.
% 1.11/1.25 (* end of lemma zenon_L946_ *)
% 1.11/1.25 assert (zenon_L947_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H106.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L946_); trivial.
% 1.11/1.25 apply (zenon_L245_); trivial.
% 1.11/1.25 apply (zenon_L125_); trivial.
% 1.11/1.25 (* end of lemma zenon_L947_ *)
% 1.11/1.25 assert (zenon_L948_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H19 zenon_H1bd zenon_H32 zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.25 apply (zenon_L947_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L242_); trivial.
% 1.11/1.25 apply (zenon_L938_); trivial.
% 1.11/1.25 apply (zenon_L245_); trivial.
% 1.11/1.25 apply (zenon_L943_); trivial.
% 1.11/1.25 apply (zenon_L246_); trivial.
% 1.11/1.25 (* end of lemma zenon_L948_ *)
% 1.11/1.25 assert (zenon_L949_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bd zenon_H19 zenon_H2d zenon_H283 zenon_H1b9 zenon_H11f zenon_H121 zenon_H1bb zenon_H19b zenon_H19a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.25 apply (zenon_L945_); trivial.
% 1.11/1.25 apply (zenon_L948_); trivial.
% 1.11/1.25 (* end of lemma zenon_L949_ *)
% 1.11/1.25 assert (zenon_L950_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hc4 zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H178 zenon_H17a zenon_H5f zenon_H188.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L835_); trivial.
% 1.11/1.25 apply (zenon_L467_); trivial.
% 1.11/1.25 apply (zenon_L260_); trivial.
% 1.11/1.25 (* end of lemma zenon_L950_ *)
% 1.11/1.25 assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_L220_); trivial.
% 1.11/1.25 apply (zenon_L264_); trivial.
% 1.11/1.25 (* end of lemma zenon_L951_ *)
% 1.11/1.25 assert (zenon_L952_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H151 zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H188 zenon_H5f zenon_H17a zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_Hc4 zenon_H83 zenon_H7 zenon_H1bb zenon_H72 zenon_H19b.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L151_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L950_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L282_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.25 apply (zenon_L835_); trivial.
% 1.11/1.25 apply (zenon_L928_); trivial.
% 1.11/1.25 apply (zenon_L260_); trivial.
% 1.11/1.25 apply (zenon_L264_); trivial.
% 1.11/1.25 apply (zenon_L951_); trivial.
% 1.11/1.25 (* end of lemma zenon_L952_ *)
% 1.11/1.25 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H72 zenon_H1bb zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.25 apply (zenon_L220_); trivial.
% 1.11/1.25 apply (zenon_L246_); trivial.
% 1.11/1.25 (* end of lemma zenon_L953_ *)
% 1.11/1.25 assert (zenon_L954_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L934_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L457_); trivial.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.25 apply (zenon_L454_); trivial.
% 1.11/1.25 apply (zenon_L793_); trivial.
% 1.11/1.25 apply (zenon_L54_); trivial.
% 1.11/1.25 (* end of lemma zenon_L954_ *)
% 1.11/1.25 assert (zenon_L955_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.25 apply (zenon_L954_); trivial.
% 1.11/1.25 apply (zenon_L461_); trivial.
% 1.11/1.25 apply (zenon_L147_); trivial.
% 1.11/1.25 (* end of lemma zenon_L955_ *)
% 1.11/1.25 assert (zenon_L956_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H19b zenon_He0 zenon_H14c zenon_H141 zenon_H11a zenon_H285 zenon_H138 zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H85 zenon_H87 zenon_H19a.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.25 apply (zenon_L955_); trivial.
% 1.11/1.25 apply (zenon_L924_); trivial.
% 1.11/1.25 (* end of lemma zenon_L956_ *)
% 1.11/1.25 assert (zenon_L957_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.25 apply (zenon_L838_); trivial.
% 1.11/1.25 apply (zenon_L932_); trivial.
% 1.11/1.25 (* end of lemma zenon_L957_ *)
% 1.11/1.25 assert (zenon_L958_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H72 zenon_Hf0 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5a zenon_H1b1 zenon_H270 zenon_H271 zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_Hf5.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.25 apply (zenon_L957_); trivial.
% 1.11/1.25 apply (zenon_L297_); trivial.
% 1.11/1.25 (* end of lemma zenon_L958_ *)
% 1.11/1.25 assert (zenon_L959_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.25 apply (zenon_L779_); trivial.
% 1.11/1.25 apply (zenon_L505_); trivial.
% 1.11/1.25 (* end of lemma zenon_L959_ *)
% 1.11/1.25 assert (zenon_L960_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.25 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hf5 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_H24d zenon_H14c zenon_H238 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5f zenon_H17 zenon_H19 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H5a zenon_H234 zenon_H236 zenon_H38 zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_H188.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.25 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_L959_); trivial.
% 1.11/1.26 apply (zenon_L294_); trivial.
% 1.11/1.26 apply (zenon_L507_); trivial.
% 1.11/1.26 apply (zenon_L309_); trivial.
% 1.11/1.26 (* end of lemma zenon_L960_ *)
% 1.11/1.26 assert (zenon_L961_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H5f zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H234 zenon_H236 zenon_H38.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_L959_); trivial.
% 1.11/1.26 apply (zenon_L857_); trivial.
% 1.11/1.26 (* end of lemma zenon_L961_ *)
% 1.11/1.26 assert (zenon_L962_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H22b zenon_H24b zenon_Hfa zenon_Hf8 zenon_H14c zenon_H24d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L282_); trivial.
% 1.11/1.26 apply (zenon_L858_); trivial.
% 1.11/1.26 (* end of lemma zenon_L962_ *)
% 1.11/1.26 assert (zenon_L963_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H271 zenon_H270 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H162 zenon_H5f zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H1bb zenon_H24d zenon_H14c zenon_Hd1 zenon_H24b zenon_H22b zenon_H1b9 zenon_H238 zenon_H72 zenon_Hf5.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.26 apply (zenon_L79_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_L961_); trivial.
% 1.11/1.26 apply (zenon_L507_); trivial.
% 1.11/1.26 apply (zenon_L858_); trivial.
% 1.11/1.26 apply (zenon_L962_); trivial.
% 1.11/1.26 (* end of lemma zenon_L963_ *)
% 1.11/1.26 assert (zenon_L964_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ].
% 1.11/1.26 apply (zenon_L879_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ].
% 1.11/1.26 apply (zenon_L483_); trivial.
% 1.11/1.26 exact (zenon_Hd1 zenon_Hd2).
% 1.11/1.26 (* end of lemma zenon_L964_ *)
% 1.11/1.26 assert (zenon_L965_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L838_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_L964_); trivial.
% 1.11/1.26 apply (zenon_L883_); trivial.
% 1.11/1.26 apply (zenon_L507_); trivial.
% 1.11/1.26 (* end of lemma zenon_L965_ *)
% 1.11/1.26 assert (zenon_L966_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H72 zenon_Hf0 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_Hf5.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L965_); trivial.
% 1.11/1.26 apply (zenon_L297_); trivial.
% 1.11/1.26 (* end of lemma zenon_L966_ *)
% 1.11/1.26 assert (zenon_L967_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H20e zenon_H19a zenon_H19b zenon_H1bb zenon_H283 zenon_H2d zenon_H19 zenon_H1bd zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.26 apply (zenon_L497_); trivial.
% 1.11/1.26 apply (zenon_L948_); trivial.
% 1.11/1.26 (* end of lemma zenon_L967_ *)
% 1.11/1.26 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H185 zenon_H5f zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_L466_); trivial.
% 1.11/1.26 apply (zenon_L328_); trivial.
% 1.11/1.26 (* end of lemma zenon_L968_ *)
% 1.11/1.26 assert (zenon_L969_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.26 apply (zenon_L240_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_L840_); trivial.
% 1.11/1.26 apply (zenon_L968_); trivial.
% 1.11/1.26 (* end of lemma zenon_L969_ *)
% 1.11/1.26 assert (zenon_L970_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H85 zenon_H138 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L151_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L927_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L970_ *)
% 1.11/1.26 assert (zenon_L971_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H38 zenon_H5f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_L915_); trivial.
% 1.11/1.26 apply (zenon_L467_); trivial.
% 1.11/1.26 (* end of lemma zenon_L971_ *)
% 1.11/1.26 assert (zenon_L972_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H189 zenon_H1ec zenon_Hf5 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1bd zenon_H5a zenon_H1b1 zenon_H5f zenon_H111 zenon_H38 zenon_Hb4 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L838_); trivial.
% 1.11/1.26 apply (zenon_L971_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L868_); trivial.
% 1.11/1.26 apply (zenon_L971_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L972_ *)
% 1.11/1.26 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H1ec zenon_Hf5 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H1b1 zenon_H5f zenon_H111 zenon_Hb4 zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L820_); trivial.
% 1.11/1.26 apply (zenon_L972_); trivial.
% 1.11/1.26 (* end of lemma zenon_L973_ *)
% 1.11/1.26 assert (zenon_L974_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5a zenon_H1b1 zenon_H270 zenon_H271 zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_Hf5.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L957_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L974_ *)
% 1.11/1.26 assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_L873_); trivial.
% 1.11/1.26 apply (zenon_L467_); trivial.
% 1.11/1.26 (* end of lemma zenon_L975_ *)
% 1.11/1.26 assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H14c zenon_Hf5 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_Hb4 zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L820_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.26 apply (zenon_L974_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L868_); trivial.
% 1.11/1.26 apply (zenon_L975_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L976_ *)
% 1.11/1.26 assert (zenon_L977_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H19b zenon_H189 zenon_H14c zenon_Hb4 zenon_H14a zenon_H1b9 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L151_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L933_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 apply (zenon_L976_); trivial.
% 1.11/1.26 (* end of lemma zenon_L977_ *)
% 1.11/1.26 assert (zenon_L978_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L151_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L950_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L978_ *)
% 1.11/1.26 assert (zenon_L979_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_Hf5.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L965_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L979_ *)
% 1.11/1.26 assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H24d zenon_H38.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.11/1.26 apply (zenon_L331_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.11/1.26 apply (zenon_L860_); trivial.
% 1.11/1.26 apply (zenon_L78_); trivial.
% 1.11/1.26 apply (zenon_L207_); trivial.
% 1.11/1.26 (* end of lemma zenon_L980_ *)
% 1.11/1.26 assert (zenon_L981_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a28))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_H63 zenon_Hc6 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H17c zenon_H17d zenon_H17e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.11/1.26 apply (zenon_L103_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.11/1.26 apply (zenon_L386_); trivial.
% 1.11/1.26 apply (zenon_L136_); trivial.
% 1.11/1.26 (* end of lemma zenon_L981_ *)
% 1.11/1.26 assert (zenon_L982_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H185 zenon_H6e zenon_H3c zenon_H3b zenon_H3a zenon_H263 zenon_H264 zenon_H265 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b9 zenon_H2f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 1.11/1.26 apply (zenon_L17_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 1.11/1.26 apply (zenon_L981_); trivial.
% 1.11/1.26 exact (zenon_H2f zenon_H30).
% 1.11/1.26 (* end of lemma zenon_L982_ *)
% 1.11/1.26 assert (zenon_L983_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H188 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_L785_); trivial.
% 1.11/1.26 apply (zenon_L982_); trivial.
% 1.11/1.26 (* end of lemma zenon_L983_ *)
% 1.11/1.26 assert (zenon_L984_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L457_); trivial.
% 1.11/1.26 apply (zenon_L804_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L457_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.26 apply (zenon_L454_); trivial.
% 1.11/1.26 apply (zenon_L983_); trivial.
% 1.11/1.26 apply (zenon_L54_); trivial.
% 1.11/1.26 (* end of lemma zenon_L984_ *)
% 1.11/1.26 assert (zenon_L985_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L984_); trivial.
% 1.11/1.26 apply (zenon_L461_); trivial.
% 1.11/1.26 (* end of lemma zenon_L985_ *)
% 1.11/1.26 assert (zenon_L986_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H20e zenon_H19b zenon_He0 zenon_H14c zenon_H141 zenon_H11a zenon_H285 zenon_H1b1 zenon_H106 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.26 apply (zenon_L985_); trivial.
% 1.11/1.26 apply (zenon_L924_); trivial.
% 1.11/1.26 (* end of lemma zenon_L986_ *)
% 1.11/1.26 assert (zenon_L987_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H162 zenon_H1e zenon_H1d zenon_H26 zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ].
% 1.11/1.26 apply (zenon_L483_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ].
% 1.11/1.26 apply (zenon_L152_); trivial.
% 1.11/1.26 apply (zenon_L173_); trivial.
% 1.11/1.26 (* end of lemma zenon_L987_ *)
% 1.11/1.26 assert (zenon_L988_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H22b zenon_H1b1 zenon_H270 zenon_H271 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.26 apply (zenon_L419_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.26 apply (zenon_L164_); trivial.
% 1.11/1.26 apply (zenon_L987_); trivial.
% 1.11/1.26 apply (zenon_L903_); trivial.
% 1.11/1.26 apply (zenon_L467_); trivial.
% 1.11/1.26 (* end of lemma zenon_L988_ *)
% 1.11/1.26 assert (zenon_L989_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.26 apply (zenon_L419_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.26 apply (zenon_L302_); trivial.
% 1.11/1.26 apply (zenon_L17_); trivial.
% 1.11/1.26 (* end of lemma zenon_L989_ *)
% 1.11/1.26 assert (zenon_L990_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H22b zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.26 apply (zenon_L155_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.11/1.26 apply (zenon_L989_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.11/1.26 apply (zenon_L56_); trivial.
% 1.11/1.26 apply (zenon_L78_); trivial.
% 1.11/1.26 (* end of lemma zenon_L990_ *)
% 1.11/1.26 assert (zenon_L991_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f zenon_He0 zenon_H72 zenon_Hf6.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_L905_); trivial.
% 1.11/1.26 apply (zenon_L990_); trivial.
% 1.11/1.26 (* end of lemma zenon_L991_ *)
% 1.11/1.26 assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H18f zenon_H18e zenon_H18d.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.26 apply (zenon_L419_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.26 apply (zenon_L145_); trivial.
% 1.11/1.26 apply (zenon_L17_); trivial.
% 1.11/1.26 (* end of lemma zenon_L992_ *)
% 1.11/1.26 assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H72 zenon_H18f zenon_H18e zenon_H18d zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.26 apply (zenon_L904_); trivial.
% 1.11/1.26 apply (zenon_L992_); trivial.
% 1.11/1.26 (* end of lemma zenon_L993_ *)
% 1.11/1.26 assert (zenon_L994_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H196 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H162 zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_H151.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L151_); trivial.
% 1.11/1.26 apply (zenon_L993_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_L893_); trivial.
% 1.11/1.26 apply (zenon_L993_); trivial.
% 1.11/1.26 (* end of lemma zenon_L994_ *)
% 1.11/1.26 assert (zenon_L995_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.26 apply (zenon_L411_); trivial.
% 1.11/1.26 apply (zenon_L460_); trivial.
% 1.11/1.26 apply (zenon_L281_); trivial.
% 1.11/1.26 (* end of lemma zenon_L995_ *)
% 1.11/1.26 assert (zenon_L996_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.26 apply (zenon_L995_); trivial.
% 1.11/1.26 apply (zenon_L324_); trivial.
% 1.11/1.26 (* end of lemma zenon_L996_ *)
% 1.11/1.26 assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_Hb4 zenon_H14c zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H22b zenon_H188 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_Hc0 zenon_H20e.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.26 apply (zenon_L996_); trivial.
% 1.11/1.26 apply (zenon_L434_); trivial.
% 1.11/1.26 apply (zenon_L912_); trivial.
% 1.11/1.26 (* end of lemma zenon_L997_ *)
% 1.11/1.26 assert (zenon_L998_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H162 zenon_H271 zenon_H270 zenon_H1b1 zenon_H22b zenon_H38 zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_H188.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L988_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L998_ *)
% 1.11/1.26 assert (zenon_L999_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H60 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H18f zenon_H18e zenon_H18d zenon_H162 zenon_H19e zenon_H19f zenon_H1aa.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.26 apply (zenon_L419_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.26 apply (zenon_L145_); trivial.
% 1.11/1.26 apply (zenon_L427_); trivial.
% 1.11/1.26 (* end of lemma zenon_L999_ *)
% 1.11/1.26 assert (zenon_L1000_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H18d zenon_H18e zenon_H18f zenon_H162 zenon_H5a zenon_H271 zenon_H270 zenon_H1b1 zenon_H22b zenon_H38 zenon_H188.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.26 apply (zenon_L419_); trivial.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.26 apply (zenon_L145_); trivial.
% 1.11/1.26 apply (zenon_L987_); trivial.
% 1.11/1.26 apply (zenon_L999_); trivial.
% 1.11/1.26 apply (zenon_L556_); trivial.
% 1.11/1.26 apply (zenon_L332_); trivial.
% 1.11/1.26 (* end of lemma zenon_L1000_ *)
% 1.11/1.26 assert (zenon_L1001_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H6e zenon_Hee zenon_Hae zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_H106 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H138 zenon_H85 zenon_H8d zenon_H1b9 zenon_Ha1 zenon_H32 zenon_H162 zenon_Hf6 zenon_H141 zenon_H2f zenon_H188 zenon_H17a zenon_H5a zenon_H38 zenon_H5e zenon_H285 zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19 zenon_Hb4 zenon_H5f zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_He5 zenon_H101 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H189 zenon_H16e zenon_H19b.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.26 apply (zenon_L805_); trivial.
% 1.11/1.26 apply (zenon_L49_); trivial.
% 1.11/1.26 apply (zenon_L180_); trivial.
% 1.11/1.26 apply (zenon_L50_); trivial.
% 1.11/1.26 apply (zenon_L124_); trivial.
% 1.11/1.26 apply (zenon_L786_); trivial.
% 1.11/1.26 apply (zenon_L806_); trivial.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.26 apply (zenon_L573_); trivial.
% 1.11/1.26 apply (zenon_L806_); trivial.
% 1.11/1.26 apply (zenon_L389_); trivial.
% 1.11/1.26 apply (zenon_L808_); trivial.
% 1.11/1.26 apply (zenon_L147_); trivial.
% 1.11/1.26 (* end of lemma zenon_L1001_ *)
% 1.11/1.26 assert (zenon_L1002_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_L613_); trivial.
% 1.11/1.26 (* end of lemma zenon_L1002_ *)
% 1.11/1.26 assert (zenon_L1003_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.26 apply (zenon_L779_); trivial.
% 1.11/1.26 apply (zenon_L615_); trivial.
% 1.11/1.26 (* end of lemma zenon_L1003_ *)
% 1.11/1.26 assert (zenon_L1004_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38.
% 1.11/1.26 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.26 apply (zenon_L1002_); trivial.
% 1.11/1.26 apply (zenon_L1003_); trivial.
% 1.11/1.26 (* end of lemma zenon_L1004_ *)
% 1.11/1.26 assert (zenon_L1005_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.26 do 0 intro. intros zenon_Hab zenon_Ha1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.11/1.26 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.27 apply (zenon_L659_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ].
% 1.11/1.27 apply (zenon_L576_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.11/1.27 apply (zenon_L152_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ].
% 1.11/1.27 apply (zenon_L43_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ].
% 1.11/1.27 apply (zenon_L160_); trivial.
% 1.11/1.27 apply (zenon_L110_); trivial.
% 1.11/1.27 apply (zenon_L136_); trivial.
% 1.11/1.27 apply (zenon_L17_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1005_ *)
% 1.11/1.27 assert (zenon_L1006_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L155_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.27 apply (zenon_L1004_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.27 apply (zenon_L614_); trivial.
% 1.11/1.27 apply (zenon_L1005_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1006_ *)
% 1.11/1.27 assert (zenon_L1007_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L151_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L86_); trivial.
% 1.11/1.27 apply (zenon_L1006_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1007_ *)
% 1.11/1.27 assert (zenon_L1008_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.27 apply (zenon_L779_); trivial.
% 1.11/1.27 apply (zenon_L638_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1008_ *)
% 1.11/1.27 assert (zenon_L1009_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_He0 zenon_H43 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.27 apply (zenon_L79_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.27 apply (zenon_L4_); trivial.
% 1.11/1.27 apply (zenon_L1008_); trivial.
% 1.11/1.27 apply (zenon_L207_); trivial.
% 1.11/1.27 apply (zenon_L592_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1009_ *)
% 1.11/1.27 assert (zenon_L1010_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_He0 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H22b zenon_H5f zenon_H72 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L820_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L1009_); trivial.
% 1.11/1.27 apply (zenon_L588_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1010_ *)
% 1.11/1.27 assert (zenon_L1011_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L1009_); trivial.
% 1.11/1.27 apply (zenon_L156_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1011_ *)
% 1.11/1.27 assert (zenon_L1012_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6 zenon_H24d zenon_H1bb zenon_H14c zenon_H189 zenon_H151.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L151_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.27 apply (zenon_L1011_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L1009_); trivial.
% 1.11/1.27 apply (zenon_L606_); trivial.
% 1.11/1.27 apply (zenon_L1010_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1012_ *)
% 1.11/1.27 assert (zenon_L1013_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_H1bb zenon_H19b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_L1007_); trivial.
% 1.11/1.27 apply (zenon_L1010_); trivial.
% 1.11/1.27 apply (zenon_L1012_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1013_ *)
% 1.11/1.27 assert (zenon_L1014_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L263_); trivial.
% 1.11/1.27 apply (zenon_L598_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1014_ *)
% 1.11/1.27 assert (zenon_L1015_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H19b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_L920_); trivial.
% 1.11/1.27 apply (zenon_L264_); trivial.
% 1.11/1.27 apply (zenon_L1014_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1015_ *)
% 1.11/1.27 assert (zenon_L1016_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L66_); trivial.
% 1.11/1.27 apply (zenon_L598_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1016_ *)
% 1.11/1.27 assert (zenon_L1017_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H196 zenon_Hf5 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H72 zenon_H47 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L242_); trivial.
% 1.11/1.27 apply (zenon_L1016_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1017_ *)
% 1.11/1.27 assert (zenon_L1018_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_L947_); trivial.
% 1.11/1.27 apply (zenon_L1017_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1018_ *)
% 1.11/1.27 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_H14a zenon_Hf0 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_L618_); trivial.
% 1.11/1.27 apply (zenon_L1012_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1019_ *)
% 1.11/1.27 assert (zenon_L1020_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L794_); trivial.
% 1.11/1.27 apply (zenon_L625_); trivial.
% 1.11/1.27 apply (zenon_L844_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1020_ *)
% 1.11/1.27 assert (zenon_L1021_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H141 zenon_H19b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_L1020_); trivial.
% 1.11/1.27 apply (zenon_L147_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1021_ *)
% 1.11/1.27 assert (zenon_L1022_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H20e zenon_H19 zenon_Hec zenon_H25d zenon_H138 zenon_Hee zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151 zenon_H85 zenon_H87 zenon_H19a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_L1021_); trivial.
% 1.11/1.27 apply (zenon_L847_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1022_ *)
% 1.11/1.27 assert (zenon_L1023_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H72 zenon_H24d zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_L853_); trivial.
% 1.11/1.27 apply (zenon_L1012_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1023_ *)
% 1.11/1.27 assert (zenon_L1024_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L828_); trivial.
% 1.11/1.27 apply (zenon_L598_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1024_ *)
% 1.11/1.27 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_Hf6 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H11a zenon_H111 zenon_Hf5 zenon_H151.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L1024_); trivial.
% 1.11/1.27 apply (zenon_L625_); trivial.
% 1.11/1.27 apply (zenon_L324_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1025_ *)
% 1.11/1.27 assert (zenon_L1026_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H1bb zenon_H20c zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H19 zenon_H151 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H141 zenon_H19b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_L1020_); trivial.
% 1.11/1.27 apply (zenon_L1025_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1026_ *)
% 1.11/1.27 assert (zenon_L1027_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H20e zenon_Hee zenon_Hec zenon_H14c zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151 zenon_H19 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H20c zenon_H1bb zenon_H19a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_L1026_); trivial.
% 1.11/1.27 apply (zenon_L1018_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1027_ *)
% 1.11/1.27 assert (zenon_L1028_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H111 zenon_Hf5 zenon_H151.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_L768_); trivial.
% 1.11/1.27 apply (zenon_L324_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1028_ *)
% 1.11/1.27 assert (zenon_L1029_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H31 zenon_H24d zenon_H205 zenon_H204 zenon_H203 zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ].
% 1.11/1.27 apply (zenon_L436_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ].
% 1.11/1.27 apply (zenon_L603_); trivial.
% 1.11/1.27 apply (zenon_L78_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1029_ *)
% 1.11/1.27 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H47 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H1b9 zenon_H188 zenon_Ha1 zenon_H83 zenon_H127 zenon_H14c zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.27 apply (zenon_L1028_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L151_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.27 apply (zenon_L653_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L1009_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L155_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.27 apply (zenon_L254_); trivial.
% 1.11/1.27 apply (zenon_L1029_); trivial.
% 1.11/1.27 apply (zenon_L246_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1030_ *)
% 1.11/1.27 assert (zenon_L1031_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L801_); trivial.
% 1.11/1.27 apply (zenon_L634_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1031_ *)
% 1.11/1.27 assert (zenon_L1032_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L794_); trivial.
% 1.11/1.27 apply (zenon_L697_); trivial.
% 1.11/1.27 apply (zenon_L1031_); trivial.
% 1.11/1.27 apply (zenon_L147_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1032_ *)
% 1.11/1.27 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.27 apply (zenon_L636_); trivial.
% 1.11/1.27 apply (zenon_L137_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1033_ *)
% 1.11/1.27 assert (zenon_L1034_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H14e zenon_H106 zenon_H5f zenon_H38 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H178 zenon_H17a zenon_H188.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.27 apply (zenon_L636_); trivial.
% 1.11/1.27 apply (zenon_L1008_); trivial.
% 1.11/1.27 apply (zenon_L1033_); trivial.
% 1.11/1.27 apply (zenon_L332_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1034_ *)
% 1.11/1.27 assert (zenon_L1035_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H19a zenon_H151 zenon_H106 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H17a zenon_H188 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1b9 zenon_H14a zenon_H19b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L151_); trivial.
% 1.11/1.27 apply (zenon_L1034_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L820_); trivial.
% 1.11/1.27 apply (zenon_L1034_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_L644_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L820_); trivial.
% 1.11/1.27 apply (zenon_L643_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1035_ *)
% 1.11/1.27 assert (zenon_L1036_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_Hec zenon_Hee zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H11a zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H24d zenon_Hf5 zenon_H151.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L1024_); trivial.
% 1.11/1.27 apply (zenon_L697_); trivial.
% 1.11/1.27 apply (zenon_L239_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1036_ *)
% 1.11/1.27 assert (zenon_L1037_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H22b zenon_H1bd zenon_H19 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_Hee zenon_Hec zenon_H20c zenon_H1bb zenon_H19b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.27 apply (zenon_L787_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L788_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L782_); trivial.
% 1.11/1.27 apply (zenon_L936_); trivial.
% 1.11/1.27 apply (zenon_L54_); trivial.
% 1.11/1.27 apply (zenon_L697_); trivial.
% 1.11/1.27 apply (zenon_L239_); trivial.
% 1.11/1.27 apply (zenon_L1036_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1037_ *)
% 1.11/1.27 assert (zenon_L1038_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (ndr1_0) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Ha1 zenon_H9d zenon_H9a zenon_H98 zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H5 zenon_H127.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.27 apply (zenon_L500_); trivial.
% 1.11/1.27 apply (zenon_L41_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1038_ *)
% 1.11/1.27 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H31 zenon_H121 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1bd zenon_H11f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ].
% 1.11/1.27 apply (zenon_L161_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ].
% 1.11/1.27 apply (zenon_L161_); trivial.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ].
% 1.11/1.27 apply (zenon_L119_); trivial.
% 1.11/1.27 apply (zenon_L213_); trivial.
% 1.11/1.27 exact (zenon_H11f zenon_H120).
% 1.11/1.27 (* end of lemma zenon_L1039_ *)
% 1.11/1.27 assert (zenon_L1040_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H74 zenon_H77 zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.27 apply (zenon_L779_); trivial.
% 1.11/1.27 apply (zenon_L1039_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1040_ *)
% 1.11/1.27 assert (zenon_L1041_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hae zenon_H38 zenon_H121 zenon_H11f zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H127 zenon_H5 zenon_Ha zenon_H3a zenon_H3b zenon_H3c zenon_H129 zenon_H12a zenon_H133 zenon_H74 zenon_H76 zenon_H77 zenon_H1bb zenon_H9a zenon_H9d zenon_Ha1.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.27 apply (zenon_L1038_); trivial.
% 1.11/1.27 apply (zenon_L1040_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1041_ *)
% 1.11/1.27 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H9d zenon_H9a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H11f zenon_H121 zenon_H38 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L155_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.27 apply (zenon_L1041_); trivial.
% 1.11/1.27 apply (zenon_L556_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1042_ *)
% 1.11/1.27 assert (zenon_L1043_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H14e zenon_H189 zenon_H265 zenon_H264 zenon_H263 zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H24d zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_He0 zenon_H1b9 zenon_H188 zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.27 apply (zenon_L1011_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.27 apply (zenon_L1009_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.27 apply (zenon_L155_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.27 apply (zenon_L779_); trivial.
% 1.11/1.27 apply (zenon_L604_); trivial.
% 1.11/1.27 apply (zenon_L556_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1043_ *)
% 1.11/1.27 assert (zenon_L1044_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6 zenon_H24d zenon_H1bb zenon_H263 zenon_H264 zenon_H265 zenon_H189 zenon_H151.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L151_); trivial.
% 1.11/1.27 apply (zenon_L1043_); trivial.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.27 apply (zenon_L893_); trivial.
% 1.11/1.27 apply (zenon_L1043_); trivial.
% 1.11/1.27 (* end of lemma zenon_L1044_ *)
% 1.11/1.27 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf6 zenon_H72 zenon_H5f zenon_H22b zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H5 zenon_H7 zenon_He0 zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bd zenon_H1bb zenon_Hf5 zenon_H19b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_L892_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L893_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_L1009_); trivial.
% 1.11/1.28 apply (zenon_L1042_); trivial.
% 1.11/1.28 apply (zenon_L1044_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1045_ *)
% 1.11/1.28 assert (zenon_L1046_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_Hf6 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_H189 zenon_H151.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L151_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.28 apply (zenon_L653_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_L652_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.28 apply (zenon_L155_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.28 apply (zenon_L779_); trivial.
% 1.11/1.28 apply (zenon_L1029_); trivial.
% 1.11/1.28 apply (zenon_L556_); trivial.
% 1.11/1.28 apply (zenon_L246_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1046_ *)
% 1.11/1.28 assert (zenon_L1047_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_Hf0 zenon_H47 zenon_H20c zenon_H162 zenon_H24d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H188 zenon_H189 zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.28 apply (zenon_L408_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L618_); trivial.
% 1.11/1.28 apply (zenon_L1046_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1047_ *)
% 1.11/1.28 assert (zenon_L1048_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H19b zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H2f zenon_H1b9 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_L669_); trivial.
% 1.11/1.28 apply (zenon_L415_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1048_ *)
% 1.11/1.28 assert (zenon_L1049_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H2f zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H19b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L1048_); trivial.
% 1.11/1.28 apply (zenon_L889_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1049_ *)
% 1.11/1.28 assert (zenon_L1050_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H20c zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H9d zenon_H1b1 zenon_Hae zenon_H189 zenon_H1bb zenon_H24d zenon_H72 zenon_H162 zenon_H5 zenon_H7 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H26d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.28 apply (zenon_L1049_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L853_); trivial.
% 1.11/1.28 apply (zenon_L1044_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.28 apply (zenon_L676_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L1028_); trivial.
% 1.11/1.28 apply (zenon_L1046_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1050_ *)
% 1.11/1.28 assert (zenon_L1051_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L388_); trivial.
% 1.11/1.28 apply (zenon_L643_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1051_ *)
% 1.11/1.28 assert (zenon_L1052_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H24f zenon_H19a zenon_H151 zenon_H106 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H17a zenon_H188 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H1b9 zenon_H19b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L388_); trivial.
% 1.11/1.28 apply (zenon_L1034_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L893_); trivial.
% 1.11/1.28 apply (zenon_L1034_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_L1051_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L893_); trivial.
% 1.11/1.28 apply (zenon_L643_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1052_ *)
% 1.11/1.28 assert (zenon_L1053_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_Hf0 zenon_H19 zenon_H189 zenon_H72 zenon_H1bb zenon_H20c zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H17a zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H162 zenon_H1b1 zenon_H19a zenon_H26d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.28 apply (zenon_L1049_); trivial.
% 1.11/1.28 apply (zenon_L1052_); trivial.
% 1.11/1.28 apply (zenon_L684_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1053_ *)
% 1.11/1.28 assert (zenon_L1054_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H5f zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.28 apply (zenon_L79_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.28 apply (zenon_L455_); trivial.
% 1.11/1.28 apply (zenon_L85_); trivial.
% 1.11/1.28 apply (zenon_L90_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1054_ *)
% 1.11/1.28 assert (zenon_L1055_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H196 zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.28 apply (zenon_L941_); trivial.
% 1.11/1.28 apply (zenon_L598_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1055_ *)
% 1.11/1.28 assert (zenon_L1056_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1bd zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L937_); trivial.
% 1.11/1.28 apply (zenon_L1054_); trivial.
% 1.11/1.28 apply (zenon_L1055_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1056_ *)
% 1.11/1.28 assert (zenon_L1057_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H32 zenon_H271 zenon_H270 zenon_H1bd zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_L947_); trivial.
% 1.11/1.28 apply (zenon_L1055_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1057_ *)
% 1.11/1.28 assert (zenon_L1058_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1bd zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L497_); trivial.
% 1.11/1.28 apply (zenon_L1057_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1058_ *)
% 1.11/1.28 assert (zenon_L1059_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H22b zenon_H1bd zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bb zenon_H141 zenon_H19b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L937_); trivial.
% 1.11/1.28 apply (zenon_L697_); trivial.
% 1.11/1.28 apply (zenon_L698_); trivial.
% 1.11/1.28 apply (zenon_L1055_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1059_ *)
% 1.11/1.28 assert (zenon_L1060_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L843_); trivial.
% 1.11/1.28 apply (zenon_L681_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1060_ *)
% 1.11/1.28 assert (zenon_L1061_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H141 zenon_H19b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_L1060_); trivial.
% 1.11/1.28 apply (zenon_L844_); trivial.
% 1.11/1.28 apply (zenon_L147_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1061_ *)
% 1.11/1.28 assert (zenon_L1062_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L984_); trivial.
% 1.11/1.28 apply (zenon_L1054_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1062_ *)
% 1.11/1.28 assert (zenon_L1063_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L954_); trivial.
% 1.11/1.28 apply (zenon_L697_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.28 apply (zenon_L934_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.28 apply (zenon_L454_); trivial.
% 1.11/1.28 apply (zenon_L800_); trivial.
% 1.11/1.28 apply (zenon_L54_); trivial.
% 1.11/1.28 apply (zenon_L634_); trivial.
% 1.11/1.28 apply (zenon_L147_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1063_ *)
% 1.11/1.28 assert (zenon_L1064_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.28 apply (zenon_L779_); trivial.
% 1.11/1.28 apply (zenon_L715_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1064_ *)
% 1.11/1.28 assert (zenon_L1065_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1064_); trivial.
% 1.11/1.28 apply (zenon_L222_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1065_ *)
% 1.11/1.28 assert (zenon_L1066_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ].
% 1.11/1.28 apply (zenon_L115_); trivial.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ].
% 1.11/1.28 apply (zenon_L714_); trivial.
% 1.11/1.28 apply (zenon_L110_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1066_ *)
% 1.11/1.28 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H9c zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H17c zenon_H17d zenon_H17e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.11/1.28 apply (zenon_L116_); trivial.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.11/1.28 apply (zenon_L1066_); trivial.
% 1.11/1.28 apply (zenon_L136_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1067_ *)
% 1.11/1.28 assert (zenon_L1068_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H2f zenon_H141 zenon_H8d zenon_H17a zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_H111 zenon_Hf6 zenon_H151.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.28 apply (zenon_L1065_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1064_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.28 apply (zenon_L37_); trivial.
% 1.11/1.28 apply (zenon_L1067_); trivial.
% 1.11/1.28 apply (zenon_L137_); trivial.
% 1.11/1.28 apply (zenon_L54_); trivial.
% 1.11/1.28 apply (zenon_L125_); trivial.
% 1.11/1.28 apply (zenon_L147_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1068_ *)
% 1.11/1.28 assert (zenon_L1069_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H121 zenon_H11f zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151 zenon_H87 zenon_H19a.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.28 apply (zenon_L921_); trivial.
% 1.11/1.28 apply (zenon_L1068_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1069_ *)
% 1.11/1.28 assert (zenon_L1070_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.28 apply (zenon_L779_); trivial.
% 1.11/1.28 apply (zenon_L721_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1070_ *)
% 1.11/1.28 assert (zenon_L1071_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.28 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.28 apply (zenon_L79_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1070_); trivial.
% 1.11/1.28 apply (zenon_L207_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1071_ *)
% 1.11/1.28 assert (zenon_L1072_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_Hf5 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H57 zenon_H5a zenon_H9d zenon_H9a zenon_H1b1 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_L1071_); trivial.
% 1.11/1.28 apply (zenon_L866_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1072_ *)
% 1.11/1.28 assert (zenon_L1073_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H188 zenon_H283 zenon_H2d zenon_H9d zenon_H9a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H1bd zenon_H11f zenon_H121 zenon_H38 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_L282_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.28 apply (zenon_L155_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1041_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.28 apply (zenon_L1038_); trivial.
% 1.11/1.28 apply (zenon_L813_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1073_ *)
% 1.11/1.28 assert (zenon_L1074_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1064_); trivial.
% 1.11/1.28 apply (zenon_L313_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1074_ *)
% 1.11/1.28 assert (zenon_L1075_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.28 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.28 apply (zenon_L79_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1064_); trivial.
% 1.11/1.28 apply (zenon_L207_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1075_ *)
% 1.11/1.28 assert (zenon_L1076_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H9c zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H17c zenon_H17d zenon_H17e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.11/1.28 apply (zenon_L152_); trivial.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.11/1.28 apply (zenon_L1066_); trivial.
% 1.11/1.28 apply (zenon_L136_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1076_ *)
% 1.11/1.28 assert (zenon_L1077_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H185 zenon_Ha1 zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.28 apply (zenon_L728_); trivial.
% 1.11/1.28 apply (zenon_L1076_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1077_ *)
% 1.11/1.28 assert (zenon_L1078_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Ha1 zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.28 apply (zenon_L1064_); trivial.
% 1.11/1.28 apply (zenon_L1077_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1078_ *)
% 1.11/1.28 assert (zenon_L1079_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H111 zenon_He0 zenon_Hf6 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.28 apply (zenon_L1074_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.28 apply (zenon_L1075_); trivial.
% 1.11/1.28 apply (zenon_L1078_); trivial.
% 1.11/1.28 (* end of lemma zenon_L1079_ *)
% 1.11/1.28 assert (zenon_L1080_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False).
% 1.11/1.28 do 0 intro. intros zenon_H103 zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H2f zenon_H6e zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.28 apply (zenon_L240_); trivial.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.29 apply (zenon_L243_); trivial.
% 1.11/1.29 apply (zenon_L715_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1080_ *)
% 1.11/1.29 assert (zenon_L1081_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H106.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_L946_); trivial.
% 1.11/1.29 apply (zenon_L1080_); trivial.
% 1.11/1.29 apply (zenon_L125_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1081_ *)
% 1.11/1.29 assert (zenon_L1082_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.29 apply (zenon_L543_); trivial.
% 1.11/1.29 apply (zenon_L716_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1082_ *)
% 1.11/1.29 assert (zenon_L1083_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H19 zenon_H1bd zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.29 apply (zenon_L1081_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L1082_); trivial.
% 1.11/1.29 apply (zenon_L125_); trivial.
% 1.11/1.29 apply (zenon_L246_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1083_ *)
% 1.11/1.29 assert (zenon_L1084_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H141 zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L833_); trivial.
% 1.11/1.29 apply (zenon_L1083_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1084_ *)
% 1.11/1.29 assert (zenon_L1085_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf5 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H111 zenon_He0 zenon_Hf6 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L1074_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1075_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1064_); trivial.
% 1.11/1.29 apply (zenon_L814_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1085_ *)
% 1.11/1.29 assert (zenon_L1086_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H72 zenon_H47 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_H6e zenon_Hf6 zenon_Hc4 zenon_H166 zenon_He0 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L831_); trivial.
% 1.11/1.29 apply (zenon_L281_); trivial.
% 1.11/1.29 apply (zenon_L233_); trivial.
% 1.11/1.29 apply (zenon_L324_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1086_ *)
% 1.11/1.29 assert (zenon_L1087_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H1bb zenon_H20c zenon_H1bd zenon_H19 zenon_H14c zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H138 zenon_H19b zenon_H141 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H9d zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H87 zenon_H19a zenon_H22b zenon_H2d zenon_H283 zenon_H26d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L846_); trivial.
% 1.11/1.29 apply (zenon_L1068_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L853_); trivial.
% 1.11/1.29 apply (zenon_L1085_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.29 apply (zenon_L845_); trivial.
% 1.11/1.29 apply (zenon_L1086_); trivial.
% 1.11/1.29 apply (zenon_L1083_); trivial.
% 1.11/1.29 apply (zenon_L744_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1087_ *)
% 1.11/1.29 assert (zenon_L1088_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_H162 zenon_He5 zenon_H5f zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5a zenon_H188.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.29 apply (zenon_L797_); trivial.
% 1.11/1.29 apply (zenon_L537_); trivial.
% 1.11/1.29 apply (zenon_L180_); trivial.
% 1.11/1.29 apply (zenon_L362_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1088_ *)
% 1.11/1.29 assert (zenon_L1089_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H1b9 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H188 zenon_H5a zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H14a zenon_H178 zenon_H17a zenon_H5f zenon_He5 zenon_H162 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_Hf5 zenon_H106.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L1088_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1071_); trivial.
% 1.11/1.29 apply (zenon_L363_); trivial.
% 1.11/1.29 apply (zenon_L332_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1089_ *)
% 1.11/1.29 assert (zenon_L1090_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H111 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H18d zenon_H18e zenon_H18f zenon_H5f zenon_Hf5.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1071_); trivial.
% 1.11/1.29 apply (zenon_L870_); trivial.
% 1.11/1.29 apply (zenon_L332_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1090_ *)
% 1.11/1.29 assert (zenon_L1091_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H196 zenon_H19b zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_H5a zenon_Hf5 zenon_H5e zenon_H1bd zenon_H49 zenon_H1bb zenon_H162 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H121 zenon_H11f zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_H151.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L151_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.29 apply (zenon_L218_); trivial.
% 1.11/1.29 apply (zenon_L260_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L544_); trivial.
% 1.11/1.29 apply (zenon_L1090_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1091_ *)
% 1.11/1.29 assert (zenon_L1092_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_Hf6 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H141 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L780_); trivial.
% 1.11/1.29 apply (zenon_L887_); trivial.
% 1.11/1.29 apply (zenon_L50_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1070_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ].
% 1.11/1.29 apply (zenon_L99_); trivial.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 1.11/1.29 apply (zenon_L981_); trivial.
% 1.11/1.29 exact (zenon_H2f zenon_H30).
% 1.11/1.29 (* end of lemma zenon_L1092_ *)
% 1.11/1.29 assert (zenon_L1093_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H6e zenon_H2b zenon_H14a zenon_Hee zenon_Hec zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf6.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1092_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.29 apply (zenon_L66_); trivial.
% 1.11/1.29 apply (zenon_L983_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1093_ *)
% 1.11/1.29 assert (zenon_L1094_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H6e zenon_Hee zenon_Hec zenon_H72 zenon_H47 zenon_H2f zenon_H32 zenon_H141 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5a zenon_H188.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L799_); trivial.
% 1.11/1.29 apply (zenon_L222_); trivial.
% 1.11/1.29 apply (zenon_L1093_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1094_ *)
% 1.11/1.29 assert (zenon_L1095_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_Ha1 zenon_H8d zenon_H17a zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H47 zenon_H141 zenon_H1b9 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5a zenon_H188 zenon_H19b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_L390_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L1094_); trivial.
% 1.11/1.29 apply (zenon_L143_); trivial.
% 1.11/1.29 apply (zenon_L1068_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1095_ *)
% 1.11/1.29 assert (zenon_L1096_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False).
% 1.11/1.29 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.29 apply (zenon_L79_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1070_); trivial.
% 1.11/1.29 apply (zenon_L556_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1096_ *)
% 1.11/1.29 assert (zenon_L1097_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1064_); trivial.
% 1.11/1.29 apply (zenon_L556_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1097_ *)
% 1.11/1.29 assert (zenon_L1098_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_Hf6 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_Ha1 zenon_H162 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H1bd zenon_H1bb zenon_H72 zenon_Hf5 zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_L892_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L851_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1096_); trivial.
% 1.11/1.29 apply (zenon_L1042_); trivial.
% 1.11/1.29 apply (zenon_L1097_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1098_ *)
% 1.11/1.29 assert (zenon_L1099_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bb zenon_H1bd zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L900_); trivial.
% 1.11/1.29 apply (zenon_L733_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1099_ *)
% 1.11/1.29 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H1bb zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.29 apply (zenon_L446_); trivial.
% 1.11/1.29 apply (zenon_L1099_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1100_ *)
% 1.11/1.29 assert (zenon_L1101_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L910_); trivial.
% 1.11/1.29 apply (zenon_L1097_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1101_ *)
% 1.11/1.29 assert (zenon_L1102_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L388_); trivial.
% 1.11/1.29 apply (zenon_L322_); trivial.
% 1.11/1.29 apply (zenon_L324_); trivial.
% 1.11/1.29 apply (zenon_L733_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1102_ *)
% 1.11/1.29 assert (zenon_L1103_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H1bb zenon_H20c zenon_H20e zenon_H19a zenon_H87 zenon_Hc0 zenon_Ha1 zenon_H8d zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b zenon_H22b zenon_H1b1 zenon_He0 zenon_H26d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L416_); trivial.
% 1.11/1.29 apply (zenon_L1068_); trivial.
% 1.11/1.29 apply (zenon_L1101_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_L433_); trivial.
% 1.11/1.29 apply (zenon_L774_); trivial.
% 1.11/1.29 apply (zenon_L1102_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1103_ *)
% 1.11/1.29 assert (zenon_L1104_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H5f zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H19b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.29 apply (zenon_L892_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L893_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.29 apply (zenon_L1096_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L865_); trivial.
% 1.11/1.29 apply (zenon_L556_); trivial.
% 1.11/1.29 apply (zenon_L332_); trivial.
% 1.11/1.29 apply (zenon_L1097_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1104_ *)
% 1.11/1.29 assert (zenon_L1105_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H185 zenon_Ha1 zenon_H1b9 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.29 apply (zenon_L453_); trivial.
% 1.11/1.29 apply (zenon_L1067_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1105_ *)
% 1.11/1.29 assert (zenon_L1106_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H188 zenon_Ha1 zenon_H1b9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1064_); trivial.
% 1.11/1.29 apply (zenon_L1105_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1106_ *)
% 1.11/1.29 assert (zenon_L1107_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_Ha1 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ].
% 1.11/1.29 apply (zenon_L37_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ].
% 1.11/1.29 apply (zenon_L17_); trivial.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ].
% 1.11/1.29 apply (zenon_L103_); trivial.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ].
% 1.11/1.29 apply (zenon_L1066_); trivial.
% 1.11/1.29 apply (zenon_L136_); trivial.
% 1.11/1.29 exact (zenon_H2f zenon_H30).
% 1.11/1.29 (* end of lemma zenon_L1107_ *)
% 1.11/1.29 assert (zenon_L1108_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Ha1 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.29 apply (zenon_L1064_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.29 apply (zenon_L1107_); trivial.
% 1.11/1.29 apply (zenon_L221_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1108_ *)
% 1.11/1.29 assert (zenon_L1109_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.29 apply (zenon_L1065_); trivial.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.29 apply (zenon_L1106_); trivial.
% 1.11/1.29 apply (zenon_L1108_); trivial.
% 1.11/1.29 apply (zenon_L54_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1109_ *)
% 1.11/1.29 assert (zenon_L1110_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf6 zenon_H111 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H72 zenon_H6e zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H141 zenon_H1b9 zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_H106.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.29 apply (zenon_L1109_); trivial.
% 1.11/1.29 apply (zenon_L125_); trivial.
% 1.11/1.29 (* end of lemma zenon_L1110_ *)
% 1.11/1.29 assert (zenon_L1111_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H138 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H141 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H85 zenon_H87 zenon_H19a.
% 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L954_); trivial.
% 1.11/1.30 apply (zenon_L1054_); trivial.
% 1.11/1.30 apply (zenon_L147_); trivial.
% 1.11/1.30 apply (zenon_L1110_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1111_ *)
% 1.11/1.30 assert (zenon_L1112_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H85 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H57 zenon_H5a zenon_H9d zenon_H9a zenon_H1b1 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H188 zenon_Hf6.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.30 apply (zenon_L1071_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_L865_); trivial.
% 1.11/1.30 apply (zenon_L507_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1112_ *)
% 1.11/1.30 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L851_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.30 apply (zenon_L1071_); trivial.
% 1.11/1.30 apply (zenon_L869_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1113_ *)
% 1.11/1.30 assert (zenon_L1114_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_Hf5 zenon_H162 zenon_H1bb zenon_H1bd zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_Hc0 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L220_); trivial.
% 1.11/1.30 apply (zenon_L1113_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1114_ *)
% 1.11/1.30 assert (zenon_L1115_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H19 zenon_H49 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H111 zenon_H270 zenon_H271 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_Hf6 zenon_H151.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L1082_); trivial.
% 1.11/1.30 apply (zenon_L943_); trivial.
% 1.11/1.30 apply (zenon_L246_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1115_ *)
% 1.11/1.30 assert (zenon_L1116_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H19 zenon_H1bd zenon_H270 zenon_H271 zenon_H32 zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.30 apply (zenon_L1081_); trivial.
% 1.11/1.30 apply (zenon_L1115_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1116_ *)
% 1.11/1.30 assert (zenon_L1117_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bd zenon_H19 zenon_H2d zenon_H283 zenon_H1b9 zenon_H11f zenon_H121 zenon_H1bb zenon_H19b zenon_H19a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L945_); trivial.
% 1.11/1.30 apply (zenon_L1116_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1117_ *)
% 1.11/1.30 assert (zenon_L1118_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_H106 zenon_H1b9 zenon_H141 zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L497_); trivial.
% 1.11/1.30 apply (zenon_L1068_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1118_ *)
% 1.11/1.30 assert (zenon_L1119_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H11a zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H20c zenon_H141 zenon_H14c zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H106 zenon_H1bd zenon_H19 zenon_H1bb zenon_H19b zenon_H19a zenon_H20e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L497_); trivial.
% 1.11/1.30 apply (zenon_L1116_); trivial.
% 1.11/1.30 apply (zenon_L744_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1119_ *)
% 1.11/1.30 assert (zenon_L1120_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H5a zenon_H85 zenon_H138 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L1074_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_L1064_); trivial.
% 1.11/1.30 apply (zenon_L507_); trivial.
% 1.11/1.30 apply (zenon_L332_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1120_ *)
% 1.11/1.30 assert (zenon_L1121_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H14c zenon_H1b1 zenon_H11f zenon_H121 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H19b zenon_H1bb zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_H151 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H20c zenon_H20e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L563_); trivial.
% 1.11/1.30 apply (zenon_L774_); trivial.
% 1.11/1.30 apply (zenon_L1099_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1121_ *)
% 1.11/1.30 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H151 zenon_H111 zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H14c zenon_Hc0 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H20e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L996_); trivial.
% 1.11/1.30 apply (zenon_L774_); trivial.
% 1.11/1.30 apply (zenon_L1102_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1122_ *)
% 1.11/1.30 assert (zenon_L1123_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H1bb zenon_H20c zenon_H20e zenon_H19a zenon_H87 zenon_H106 zenon_H1b9 zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_Hc0 zenon_H111 zenon_H141 zenon_H151 zenon_H19b zenon_H22b zenon_H1b1 zenon_He0 zenon_H26d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L995_); trivial.
% 1.11/1.30 apply (zenon_L701_); trivial.
% 1.11/1.30 apply (zenon_L1068_); trivial.
% 1.11/1.30 apply (zenon_L1101_); trivial.
% 1.11/1.30 apply (zenon_L1122_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1123_ *)
% 1.11/1.30 assert (zenon_L1124_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L1007_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L851_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.30 apply (zenon_L1071_); trivial.
% 1.11/1.30 apply (zenon_L1006_); trivial.
% 1.11/1.30 apply (zenon_L1079_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1124_ *)
% 1.11/1.30 assert (zenon_L1125_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.30 apply (zenon_L1081_); trivial.
% 1.11/1.30 apply (zenon_L1017_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1125_ *)
% 1.11/1.30 assert (zenon_L1126_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L768_); trivial.
% 1.11/1.30 apply (zenon_L852_); trivial.
% 1.11/1.30 apply (zenon_L1079_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1126_ *)
% 1.11/1.30 assert (zenon_L1127_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_L1028_); trivial.
% 1.11/1.30 apply (zenon_L733_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1127_ *)
% 1.11/1.30 assert (zenon_L1128_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_He0 zenon_H24d zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L851_); trivial.
% 1.11/1.30 apply (zenon_L647_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1128_ *)
% 1.11/1.30 assert (zenon_L1129_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H14e zenon_H106 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H178 zenon_H17a zenon_H5f zenon_H188.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_L1064_); trivial.
% 1.11/1.30 apply (zenon_L1033_); trivial.
% 1.11/1.30 apply (zenon_L332_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1129_ *)
% 1.11/1.30 assert (zenon_L1130_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H17a zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H106 zenon_H151.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L1074_); trivial.
% 1.11/1.30 apply (zenon_L1129_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L1074_); trivial.
% 1.11/1.30 apply (zenon_L643_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1130_ *)
% 1.11/1.30 assert (zenon_L1131_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H17a zenon_H22b zenon_H5a zenon_H106 zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L699_); trivial.
% 1.11/1.30 apply (zenon_L1128_); trivial.
% 1.11/1.30 apply (zenon_L1130_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1131_ *)
% 1.11/1.30 assert (zenon_L1132_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b zenon_H1b9 zenon_H188 zenon_H5a zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H17a zenon_H5f zenon_He5 zenon_H162 zenon_Hd1 zenon_Hd3 zenon_H106 zenon_Hc4 zenon_H11a zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H24d zenon_Hf5 zenon_H151 zenon_H1bd zenon_H22b zenon_H19a.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L699_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L1088_); trivial.
% 1.11/1.30 apply (zenon_L647_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L650_); trivial.
% 1.11/1.30 apply (zenon_L697_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L650_); trivial.
% 1.11/1.30 apply (zenon_L647_); trivial.
% 1.11/1.30 apply (zenon_L1130_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1132_ *)
% 1.11/1.30 assert (zenon_L1133_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H17a zenon_H5a zenon_H106 zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_L682_); trivial.
% 1.11/1.30 apply (zenon_L1128_); trivial.
% 1.11/1.30 apply (zenon_L1130_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1133_ *)
% 1.11/1.30 assert (zenon_L1134_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf6 zenon_H111 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H141 zenon_H2f zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.30 apply (zenon_L1065_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_L1064_); trivial.
% 1.11/1.30 apply (zenon_L888_); trivial.
% 1.11/1.30 apply (zenon_L125_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1134_ *)
% 1.11/1.30 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H6d zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_L1004_); trivial.
% 1.11/1.30 apply (zenon_L556_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1135_ *)
% 1.11/1.30 assert (zenon_L1136_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.30 apply (zenon_L155_); trivial.
% 1.11/1.30 apply (zenon_L1135_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1136_ *)
% 1.11/1.30 assert (zenon_L1137_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L388_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.30 apply (zenon_L86_); trivial.
% 1.11/1.30 apply (zenon_L1136_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L893_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.30 apply (zenon_L1096_); trivial.
% 1.11/1.30 apply (zenon_L1136_); trivial.
% 1.11/1.30 apply (zenon_L1097_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1137_ *)
% 1.11/1.30 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H188 zenon_H1b9 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_Hae zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.30 apply (zenon_L408_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.30 apply (zenon_L388_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.30 apply (zenon_L263_); trivial.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.30 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.30 apply (zenon_L1002_); trivial.
% 1.11/1.30 apply (zenon_L616_); trivial.
% 1.11/1.30 apply (zenon_L556_); trivial.
% 1.11/1.30 apply (zenon_L264_); trivial.
% 1.11/1.30 apply (zenon_L733_); trivial.
% 1.11/1.30 (* end of lemma zenon_L1138_ *)
% 1.11/1.30 assert (zenon_L1139_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False).
% 1.11/1.30 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H72 zenon_H1bb zenon_H20c zenon_H166 zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H26d.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1048_); trivial.
% 1.11/1.31 apply (zenon_L1134_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L670_); trivial.
% 1.11/1.31 apply (zenon_L1097_); trivial.
% 1.11/1.31 apply (zenon_L775_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1139_ *)
% 1.11/1.31 assert (zenon_L1140_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False).
% 1.11/1.31 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_He0 zenon_H24d zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_L647_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1140_ *)
% 1.11/1.31 assert (zenon_L1141_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.31 do 0 intro. intros zenon_H19b zenon_H38 zenon_H1b9 zenon_H14a zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H9a zenon_H28a zenon_H289 zenon_H297 zenon_H24d zenon_Hf5 zenon_H151.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L711_); trivial.
% 1.11/1.31 apply (zenon_L1140_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1141_ *)
% 1.11/1.31 assert (zenon_L1142_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False).
% 1.11/1.31 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H38 zenon_H19b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1141_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1142_ *)
% 1.11/1.31 assert (zenon_L1143_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.31 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H32 zenon_H271 zenon_H270 zenon_H1bd zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_L1081_); trivial.
% 1.11/1.31 apply (zenon_L1055_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1143_ *)
% 1.11/1.31 assert (zenon_L1144_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False).
% 1.11/1.31 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_H17a zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H151.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L1109_); trivial.
% 1.11/1.31 apply (zenon_L1129_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 (* end of lemma zenon_L1144_ *)
% 1.11/1.31 apply NNPP. intro zenon_G.
% 1.11/1.31 apply zenon_G. zenon_intro zenon_H2b7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bd. zenon_intro zenon_H2bc.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2bf. zenon_intro zenon_H2be.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c1. zenon_intro zenon_H2c0.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c3. zenon_intro zenon_H2c2.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2b4. zenon_intro zenon_H2c6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H26d. zenon_intro zenon_H2c7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H20e. zenon_intro zenon_H2c8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H19a. zenon_intro zenon_H2c9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H19b. zenon_intro zenon_H2ca.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H151. zenon_intro zenon_H2cb.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H189. zenon_intro zenon_H2cc.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H106. zenon_intro zenon_H2cd.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hf5. zenon_intro zenon_H2ce.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_Hf6. zenon_intro zenon_H2cf.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H201. zenon_intro zenon_H2d2.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_Hc4. zenon_intro zenon_H2d3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_He5. zenon_intro zenon_H2d4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H72. zenon_intro zenon_H2d5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d7. zenon_intro zenon_H2d6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H188. zenon_intro zenon_H2d8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H5f. zenon_intro zenon_H2d9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Hae. zenon_intro zenon_H2da.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H202. zenon_intro zenon_H2dd.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H1d6. zenon_intro zenon_H2de.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_Ha1. zenon_intro zenon_H2df.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H38. zenon_intro zenon_H2e0.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H5e. zenon_intro zenon_H2e1.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24d. zenon_intro zenon_H2e2.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H261. zenon_intro zenon_H2e3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H236. zenon_intro zenon_H2e6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H101. zenon_intro zenon_H2e9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H24b. zenon_intro zenon_H2ea.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H127. zenon_intro zenon_H2eb.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H121. zenon_intro zenon_H2ec.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H1bd. zenon_intro zenon_H2ed.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1bf. zenon_intro zenon_H2ee.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H87. zenon_intro zenon_H2ef.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H162. zenon_intro zenon_H2f2.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H138. zenon_intro zenon_H2f3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H17a. zenon_intro zenon_H2f4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H83. zenon_intro zenon_H2f5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H287. zenon_intro zenon_H2f6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H19. zenon_intro zenon_H2f7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H166. zenon_intro zenon_H2f8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hc0. zenon_intro zenon_H2f9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H6e. zenon_intro zenon_H2fa.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1bb. zenon_intro zenon_H2fb.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hf0. zenon_intro zenon_H2fc.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H295. zenon_intro zenon_H2fd.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H47. zenon_intro zenon_H2fe.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1b9. zenon_intro zenon_H2ff.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H14c. zenon_intro zenon_H300.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H11a. zenon_intro zenon_H303.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hd3. zenon_intro zenon_H304.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1ec. zenon_intro zenon_H305.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H141. zenon_intro zenon_H306.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H20c. zenon_intro zenon_H307.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H309. zenon_intro zenon_H308.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H176. zenon_intro zenon_H30a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H283. zenon_intro zenon_H30d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H229. zenon_intro zenon_H30e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H25d. zenon_intro zenon_H30f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H1b1. zenon_intro zenon_H310.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H32. zenon_intro zenon_H311.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_He0. zenon_intro zenon_H312.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H16e. zenon_intro zenon_H313.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H14a. zenon_intro zenon_H314.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_Hee. zenon_intro zenon_H315.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H111. zenon_intro zenon_H31c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31e. zenon_intro zenon_H31d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1c8. zenon_intro zenon_H31f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H285. zenon_intro zenon_H320.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H322. zenon_intro zenon_H321.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H8d. zenon_intro zenon_H323.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H5a. zenon_intro zenon_H326.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H328. zenon_intro zenon_H327.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hb4. zenon_intro zenon_H329.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H9d. zenon_intro zenon_H32a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H33. zenon_intro zenon_H32b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H49. zenon_intro zenon_H32c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32e. zenon_intro zenon_H32d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H332. zenon_intro zenon_H331.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H7.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25f | zenon_intro zenon_H334 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H234 | zenon_intro zenon_H335 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.31 apply (zenon_L4_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.11/1.31 apply (zenon_L16_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.31 apply (zenon_L20_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_L29_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_L33_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_L69_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_L77_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_L91_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_L109_); trivial.
% 1.11/1.31 apply (zenon_L148_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L157_); trivial.
% 1.11/1.31 apply (zenon_L172_); trivial.
% 1.11/1.31 apply (zenon_L217_); trivial.
% 1.11/1.31 apply (zenon_L226_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L248_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L265_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L267_); trivial.
% 1.11/1.31 apply (zenon_L172_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L269_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L289_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L310_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L311_); trivial.
% 1.11/1.31 apply (zenon_L314_); trivial.
% 1.11/1.31 apply (zenon_L320_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L310_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L225_); trivial.
% 1.11/1.31 apply (zenon_L320_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L248_); trivial.
% 1.11/1.31 apply (zenon_L330_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L269_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_L340_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L220_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L345_); trivial.
% 1.11/1.31 apply (zenon_L339_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L248_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L347_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L350_); trivial.
% 1.11/1.31 apply (zenon_L362_); trivial.
% 1.11/1.31 apply (zenon_L364_); trivial.
% 1.11/1.31 apply (zenon_L372_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L268_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L376_); trivial.
% 1.11/1.31 apply (zenon_L144_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L381_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L384_); trivial.
% 1.11/1.31 apply (zenon_L288_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L381_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L384_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L316_); trivial.
% 1.11/1.31 apply (zenon_L379_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L234_); trivial.
% 1.11/1.31 apply (zenon_L324_); trivial.
% 1.11/1.31 apply (zenon_L247_); trivial.
% 1.11/1.31 apply (zenon_L385_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L391_); trivial.
% 1.11/1.31 apply (zenon_L405_); trivial.
% 1.11/1.31 apply (zenon_L409_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L416_); trivial.
% 1.11/1.31 apply (zenon_L418_); trivial.
% 1.11/1.31 apply (zenon_L432_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L435_); trivial.
% 1.11/1.31 apply (zenon_L442_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L391_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L443_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L445_); trivial.
% 1.11/1.31 apply (zenon_L339_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L446_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L447_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L448_); trivial.
% 1.11/1.31 apply (zenon_L364_); trivial.
% 1.11/1.31 apply (zenon_L449_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L450_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L381_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L444_); trivial.
% 1.11/1.31 apply (zenon_L379_); trivial.
% 1.11/1.31 apply (zenon_L451_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L435_); trivial.
% 1.11/1.31 apply (zenon_L385_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L470_); trivial.
% 1.11/1.31 apply (zenon_L480_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L482_); trivial.
% 1.11/1.31 apply (zenon_L217_); trivial.
% 1.11/1.31 apply (zenon_L226_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L487_); trivial.
% 1.11/1.31 apply (zenon_L489_); trivial.
% 1.11/1.31 apply (zenon_L217_); trivial.
% 1.11/1.31 apply (zenon_L226_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L493_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L265_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L487_); trivial.
% 1.11/1.31 apply (zenon_L495_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L498_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L289_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L310_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L311_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L181_); trivial.
% 1.11/1.31 apply (zenon_L504_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L189_); trivial.
% 1.11/1.31 apply (zenon_L504_); trivial.
% 1.11/1.31 apply (zenon_L509_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L310_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L225_); trivial.
% 1.11/1.31 apply (zenon_L509_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L493_); trivial.
% 1.11/1.31 apply (zenon_L330_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L470_); trivial.
% 1.11/1.31 apply (zenon_L521_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L347_); trivial.
% 1.11/1.31 apply (zenon_L531_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L220_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L532_); trivial.
% 1.11/1.31 apply (zenon_L339_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L487_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L531_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L220_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L532_); trivial.
% 1.11/1.31 apply (zenon_L536_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L493_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L86_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.31 apply (zenon_L254_); trivial.
% 1.11/1.31 apply (zenon_L252_); trivial.
% 1.11/1.31 apply (zenon_L163_); trivial.
% 1.11/1.31 apply (zenon_L260_); trivial.
% 1.11/1.31 apply (zenon_L541_); trivial.
% 1.11/1.31 apply (zenon_L548_); trivial.
% 1.11/1.31 apply (zenon_L372_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L497_); trivial.
% 1.11/1.31 apply (zenon_L521_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L381_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L550_); trivial.
% 1.11/1.31 apply (zenon_L288_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L381_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L550_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L79_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_L551_); trivial.
% 1.11/1.31 apply (zenon_L507_); trivial.
% 1.11/1.31 apply (zenon_L379_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L552_); trivial.
% 1.11/1.31 apply (zenon_L385_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L554_); trivial.
% 1.11/1.31 apply (zenon_L480_); trivial.
% 1.11/1.31 apply (zenon_L405_); trivial.
% 1.11/1.31 apply (zenon_L409_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L498_); trivial.
% 1.11/1.31 apply (zenon_L432_); trivial.
% 1.11/1.31 apply (zenon_L555_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L554_); trivial.
% 1.11/1.31 apply (zenon_L521_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L443_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L559_); trivial.
% 1.11/1.31 apply (zenon_L339_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L560_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L562_); trivial.
% 1.11/1.31 apply (zenon_L339_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L564_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L447_); trivial.
% 1.11/1.31 apply (zenon_L541_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L560_); trivial.
% 1.11/1.31 apply (zenon_L547_); trivial.
% 1.11/1.31 apply (zenon_L449_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L416_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L514_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L565_); trivial.
% 1.11/1.31 apply (zenon_L125_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L566_); trivial.
% 1.11/1.31 apply (zenon_L421_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L566_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L567_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L79_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_L551_); trivial.
% 1.11/1.31 apply (zenon_L556_); trivial.
% 1.11/1.31 apply (zenon_L379_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L555_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L580_); trivial.
% 1.11/1.31 apply (zenon_L583_); trivial.
% 1.11/1.31 apply (zenon_L609_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L612_); trivial.
% 1.11/1.31 apply (zenon_L620_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L629_); trivial.
% 1.11/1.31 apply (zenon_L630_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L631_); trivial.
% 1.11/1.31 apply (zenon_L632_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L575_); trivial.
% 1.11/1.31 apply (zenon_L635_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_L583_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L641_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L587_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L334_); trivial.
% 1.11/1.31 apply (zenon_L642_); trivial.
% 1.11/1.31 apply (zenon_L640_); trivial.
% 1.11/1.31 apply (zenon_L645_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L631_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L641_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L587_); trivial.
% 1.11/1.31 apply (zenon_L362_); trivial.
% 1.11/1.31 apply (zenon_L647_); trivial.
% 1.11/1.31 apply (zenon_L651_); trivial.
% 1.11/1.31 apply (zenon_L657_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L658_); trivial.
% 1.11/1.31 apply (zenon_L665_); trivial.
% 1.11/1.31 apply (zenon_L666_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L668_); trivial.
% 1.11/1.31 apply (zenon_L674_); trivial.
% 1.11/1.31 apply (zenon_L677_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L390_); trivial.
% 1.11/1.31 apply (zenon_L635_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L417_); trivial.
% 1.11/1.31 apply (zenon_L582_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L641_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L444_); trivial.
% 1.11/1.31 apply (zenon_L642_); trivial.
% 1.11/1.31 apply (zenon_L640_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L446_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L447_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L448_); trivial.
% 1.11/1.31 apply (zenon_L647_); trivial.
% 1.11/1.31 apply (zenon_L657_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L450_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L679_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L444_); trivial.
% 1.11/1.31 apply (zenon_L680_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_L684_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L688_); trivial.
% 1.11/1.31 apply (zenon_L609_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L690_); trivial.
% 1.11/1.31 apply (zenon_L247_); trivial.
% 1.11/1.31 apply (zenon_L620_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L688_); trivial.
% 1.11/1.31 apply (zenon_L630_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L552_); trivial.
% 1.11/1.31 apply (zenon_L632_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L462_); trivial.
% 1.11/1.31 apply (zenon_L692_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L514_); trivial.
% 1.11/1.31 apply (zenon_L693_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L641_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L587_); trivial.
% 1.11/1.31 apply (zenon_L524_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L587_); trivial.
% 1.11/1.31 apply (zenon_L530_); trivial.
% 1.11/1.31 apply (zenon_L695_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L644_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L175_); trivial.
% 1.11/1.31 apply (zenon_L597_); trivial.
% 1.11/1.31 apply (zenon_L586_); trivial.
% 1.11/1.31 apply (zenon_L524_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L696_); trivial.
% 1.11/1.31 apply (zenon_L586_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L696_); trivial.
% 1.11/1.31 apply (zenon_L523_); trivial.
% 1.11/1.31 apply (zenon_L695_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L490_); trivial.
% 1.11/1.31 apply (zenon_L697_); trivial.
% 1.11/1.31 apply (zenon_L698_); trivial.
% 1.11/1.31 apply (zenon_L247_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L699_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L540_); trivial.
% 1.11/1.31 apply (zenon_L695_); trivial.
% 1.11/1.31 apply (zenon_L651_); trivial.
% 1.11/1.31 apply (zenon_L657_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L702_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L383_); trivial.
% 1.11/1.31 apply (zenon_L513_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_L693_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L703_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L549_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L383_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.31 apply (zenon_L704_); trivial.
% 1.11/1.31 apply (zenon_L50_); trivial.
% 1.11/1.31 apply (zenon_L54_); trivial.
% 1.11/1.31 apply (zenon_L62_); trivial.
% 1.11/1.31 apply (zenon_L705_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L702_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L383_); trivial.
% 1.11/1.31 apply (zenon_L245_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_L706_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L708_); trivial.
% 1.11/1.31 apply (zenon_L665_); trivial.
% 1.11/1.31 apply (zenon_L666_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L709_); trivial.
% 1.11/1.31 apply (zenon_L674_); trivial.
% 1.11/1.31 apply (zenon_L677_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L553_); trivial.
% 1.11/1.31 apply (zenon_L692_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L417_); trivial.
% 1.11/1.31 apply (zenon_L693_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L637_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.31 apply (zenon_L387_); trivial.
% 1.11/1.31 apply (zenon_L710_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L561_); trivial.
% 1.11/1.31 apply (zenon_L586_); trivial.
% 1.11/1.31 apply (zenon_L558_); trivial.
% 1.11/1.31 apply (zenon_L695_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L564_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L711_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L561_); trivial.
% 1.11/1.31 apply (zenon_L361_); trivial.
% 1.11/1.31 apply (zenon_L558_); trivial.
% 1.11/1.31 apply (zenon_L647_); trivial.
% 1.11/1.31 apply (zenon_L657_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L497_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L417_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L565_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L679_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L567_); trivial.
% 1.11/1.31 apply (zenon_L678_); trivial.
% 1.11/1.31 apply (zenon_L684_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H33f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H29f. zenon_intro zenon_H340.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2a0. zenon_intro zenon_H29e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L228_); trivial.
% 1.11/1.31 apply (zenon_L712_); trivial.
% 1.11/1.31 apply (zenon_L689_); trivial.
% 1.11/1.31 apply (zenon_L713_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L718_); trivial.
% 1.11/1.31 apply (zenon_L720_); trivial.
% 1.11/1.31 apply (zenon_L731_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L611_); trivial.
% 1.11/1.31 apply (zenon_L123_); trivial.
% 1.11/1.31 apply (zenon_L233_); trivial.
% 1.11/1.31 apply (zenon_L239_); trivial.
% 1.11/1.31 apply (zenon_L732_); trivial.
% 1.11/1.31 apply (zenon_L734_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L73_); trivial.
% 1.11/1.31 apply (zenon_L622_); trivial.
% 1.11/1.31 apply (zenon_L712_); trivial.
% 1.11/1.31 apply (zenon_L233_); trivial.
% 1.11/1.31 apply (zenon_L713_); trivial.
% 1.11/1.31 apply (zenon_L739_); trivial.
% 1.11/1.31 apply (zenon_L743_); trivial.
% 1.11/1.31 apply (zenon_L745_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L747_); trivial.
% 1.11/1.31 apply (zenon_L713_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L748_); trivial.
% 1.11/1.31 apply (zenon_L720_); trivial.
% 1.11/1.31 apply (zenon_L752_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L446_); trivial.
% 1.11/1.31 apply (zenon_L734_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L416_); trivial.
% 1.11/1.31 apply (zenon_L739_); trivial.
% 1.11/1.31 apply (zenon_L755_); trivial.
% 1.11/1.31 apply (zenon_L745_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L761_); trivial.
% 1.11/1.31 apply (zenon_L731_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L762_); trivial.
% 1.11/1.31 apply (zenon_L734_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L763_); trivial.
% 1.11/1.31 apply (zenon_L743_); trivial.
% 1.11/1.31 apply (zenon_L745_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L761_); trivial.
% 1.11/1.31 apply (zenon_L752_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L762_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L447_); trivial.
% 1.11/1.31 apply (zenon_L264_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L763_); trivial.
% 1.11/1.31 apply (zenon_L755_); trivial.
% 1.11/1.31 apply (zenon_L745_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L580_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L718_); trivial.
% 1.11/1.31 apply (zenon_L628_); trivial.
% 1.11/1.31 apply (zenon_L766_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L612_); trivial.
% 1.11/1.31 apply (zenon_L767_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L629_); trivial.
% 1.11/1.31 apply (zenon_L769_); trivial.
% 1.11/1.31 apply (zenon_L745_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L658_); trivial.
% 1.11/1.31 apply (zenon_L771_); trivial.
% 1.11/1.31 apply (zenon_L772_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L668_); trivial.
% 1.11/1.31 apply (zenon_L773_); trivial.
% 1.11/1.31 apply (zenon_L775_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L687_); trivial.
% 1.11/1.31 apply (zenon_L776_); trivial.
% 1.11/1.31 apply (zenon_L766_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L762_); trivial.
% 1.11/1.31 apply (zenon_L767_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L777_); trivial.
% 1.11/1.31 apply (zenon_L776_); trivial.
% 1.11/1.31 apply (zenon_L769_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L777_); trivial.
% 1.11/1.31 apply (zenon_L732_); trivial.
% 1.11/1.31 apply (zenon_L744_); trivial.
% 1.11/1.31 apply (zenon_L746_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H341.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H2ac. zenon_intro zenon_H342.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H234 | zenon_intro zenon_H335 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L809_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L819_); trivial.
% 1.11/1.31 apply (zenon_L824_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L86_); trivial.
% 1.11/1.31 apply (zenon_L827_); trivial.
% 1.11/1.31 apply (zenon_L824_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L834_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L837_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L839_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L842_); trivial.
% 1.11/1.31 apply (zenon_L495_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L848_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L853_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L854_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L79_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ].
% 1.11/1.31 apply (zenon_L81_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 1.11/1.31 apply (zenon_L779_); trivial.
% 1.11/1.31 apply (zenon_L855_); trivial.
% 1.11/1.31 apply (zenon_L207_); trivial.
% 1.11/1.31 apply (zenon_L308_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L854_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L79_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.31 apply (zenon_L127_); trivial.
% 1.11/1.31 apply (zenon_L857_); trivial.
% 1.11/1.31 apply (zenon_L207_); trivial.
% 1.11/1.31 apply (zenon_L858_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L859_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L325_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L854_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L79_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.31 apply (zenon_L240_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_L861_); trivial.
% 1.11/1.31 apply (zenon_L207_); trivial.
% 1.11/1.31 apply (zenon_L841_); trivial.
% 1.11/1.31 apply (zenon_L309_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L809_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L819_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L807_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L867_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L868_); trivial.
% 1.11/1.31 apply (zenon_L866_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L872_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L854_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L86_); trivial.
% 1.11/1.31 apply (zenon_L874_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L876_); trivial.
% 1.11/1.31 apply (zenon_L872_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L834_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L819_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L867_); trivial.
% 1.11/1.31 apply (zenon_L877_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L839_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L842_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L848_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L853_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L854_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L878_); trivial.
% 1.11/1.31 apply (zenon_L874_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L876_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L838_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ].
% 1.11/1.31 apply (zenon_L65_); trivial.
% 1.11/1.31 apply (zenon_L880_); trivial.
% 1.11/1.31 apply (zenon_L814_); trivial.
% 1.11/1.31 apply (zenon_L882_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L838_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.31 apply (zenon_L127_); trivial.
% 1.11/1.31 apply (zenon_L883_); trivial.
% 1.11/1.31 apply (zenon_L814_); trivial.
% 1.11/1.31 apply (zenon_L884_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L859_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L325_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L839_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L878_); trivial.
% 1.11/1.31 apply (zenon_L841_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L890_); trivial.
% 1.11/1.31 apply (zenon_L898_); trivial.
% 1.11/1.31 apply (zenon_L901_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L902_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L905_); trivial.
% 1.11/1.31 apply (zenon_L908_); trivial.
% 1.11/1.31 apply (zenon_L909_); trivial.
% 1.11/1.31 apply (zenon_L913_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L890_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L914_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L822_); trivial.
% 1.11/1.31 apply (zenon_L916_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L446_); trivial.
% 1.11/1.31 apply (zenon_L917_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L902_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L838_); trivial.
% 1.11/1.31 apply (zenon_L908_); trivial.
% 1.11/1.31 apply (zenon_L919_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L838_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ].
% 1.11/1.31 apply (zenon_L127_); trivial.
% 1.11/1.31 apply (zenon_L903_); trivial.
% 1.11/1.31 apply (zenon_L814_); trivial.
% 1.11/1.31 apply (zenon_L919_); trivial.
% 1.11/1.31 apply (zenon_L913_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L925_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L929_); trivial.
% 1.11/1.31 apply (zenon_L824_); trivial.
% 1.11/1.31 apply (zenon_L930_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L933_); trivial.
% 1.11/1.31 apply (zenon_L489_); trivial.
% 1.11/1.31 apply (zenon_L824_); trivial.
% 1.11/1.31 apply (zenon_L930_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L949_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L952_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L933_); trivial.
% 1.11/1.31 apply (zenon_L495_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_L953_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L956_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L853_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L958_); trivial.
% 1.11/1.31 apply (zenon_L960_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L958_); trivial.
% 1.11/1.31 apply (zenon_L963_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L966_); trivial.
% 1.11/1.31 apply (zenon_L960_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L966_); trivial.
% 1.11/1.31 apply (zenon_L963_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L967_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L325_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L839_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L241_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.31 apply (zenon_L263_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ].
% 1.11/1.31 apply (zenon_L861_); trivial.
% 1.11/1.31 apply (zenon_L968_); trivial.
% 1.11/1.31 apply (zenon_L969_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L282_); trivial.
% 1.11/1.31 apply (zenon_L494_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L956_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L970_); trivial.
% 1.11/1.31 apply (zenon_L973_); trivial.
% 1.11/1.31 apply (zenon_L872_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_L977_); trivial.
% 1.11/1.31 apply (zenon_L872_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L949_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L978_); trivial.
% 1.11/1.31 apply (zenon_L973_); trivial.
% 1.11/1.31 apply (zenon_L872_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_L977_); trivial.
% 1.11/1.31 apply (zenon_L953_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L956_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L853_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L974_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_L878_); trivial.
% 1.11/1.31 apply (zenon_L975_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L976_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L979_); trivial.
% 1.11/1.31 apply (zenon_L882_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L820_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L979_); trivial.
% 1.11/1.31 apply (zenon_L884_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L967_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L325_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ].
% 1.11/1.31 apply (zenon_L839_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ].
% 1.11/1.31 apply (zenon_L241_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.11/1.31 apply (zenon_L240_); trivial.
% 1.11/1.31 apply (zenon_L980_); trivial.
% 1.11/1.31 apply (zenon_L969_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L246_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L986_); trivial.
% 1.11/1.31 apply (zenon_L898_); trivial.
% 1.11/1.31 apply (zenon_L901_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L986_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L910_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L988_); trivial.
% 1.11/1.31 apply (zenon_L991_); trivial.
% 1.11/1.31 apply (zenon_L909_); trivial.
% 1.11/1.31 apply (zenon_L994_); trivial.
% 1.11/1.31 apply (zenon_L997_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L986_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L914_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_L972_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L560_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_L871_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L564_); trivial.
% 1.11/1.31 apply (zenon_L917_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L986_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_L998_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_L998_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L151_); trivial.
% 1.11/1.31 apply (zenon_L1000_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L893_); trivial.
% 1.11/1.31 apply (zenon_L1000_); trivial.
% 1.11/1.31 apply (zenon_L997_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L921_); trivial.
% 1.11/1.31 apply (zenon_L1001_); trivial.
% 1.11/1.31 apply (zenon_L1013_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1015_); trivial.
% 1.11/1.31 apply (zenon_L1018_); trivial.
% 1.11/1.31 apply (zenon_L1019_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1022_); trivial.
% 1.11/1.31 apply (zenon_L1023_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1027_); trivial.
% 1.11/1.31 apply (zenon_L1030_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1032_); trivial.
% 1.11/1.31 apply (zenon_L1001_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1037_); trivial.
% 1.11/1.31 apply (zenon_L1018_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1022_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1027_); trivial.
% 1.11/1.31 apply (zenon_L706_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L747_); trivial.
% 1.11/1.31 apply (zenon_L802_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_L889_); trivial.
% 1.11/1.31 apply (zenon_L1045_); trivial.
% 1.11/1.31 apply (zenon_L1047_); trivial.
% 1.11/1.31 apply (zenon_L1050_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L711_); trivial.
% 1.11/1.31 apply (zenon_L1031_); trivial.
% 1.11/1.31 apply (zenon_L147_); trivial.
% 1.11/1.31 apply (zenon_L889_); trivial.
% 1.11/1.31 apply (zenon_L1052_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L446_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_L1053_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L925_); trivial.
% 1.11/1.31 apply (zenon_L1013_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1056_); trivial.
% 1.11/1.31 apply (zenon_L1057_); trivial.
% 1.11/1.31 apply (zenon_L1019_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L777_); trivial.
% 1.11/1.31 apply (zenon_L924_); trivial.
% 1.11/1.31 apply (zenon_L1023_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1058_); trivial.
% 1.11/1.31 apply (zenon_L1030_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1032_); trivial.
% 1.11/1.31 apply (zenon_L924_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1059_); trivial.
% 1.11/1.31 apply (zenon_L1057_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1061_); trivial.
% 1.11/1.31 apply (zenon_L924_); trivial.
% 1.11/1.31 apply (zenon_L1035_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1058_); trivial.
% 1.11/1.31 apply (zenon_L706_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1062_); trivial.
% 1.11/1.31 apply (zenon_L889_); trivial.
% 1.11/1.31 apply (zenon_L1045_); trivial.
% 1.11/1.31 apply (zenon_L1047_); trivial.
% 1.11/1.31 apply (zenon_L1050_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1063_); trivial.
% 1.11/1.31 apply (zenon_L889_); trivial.
% 1.11/1.31 apply (zenon_L1052_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L1059_); trivial.
% 1.11/1.31 apply (zenon_L434_); trivial.
% 1.11/1.31 apply (zenon_L1052_); trivial.
% 1.11/1.31 apply (zenon_L1053_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H33f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H29f. zenon_intro zenon_H340.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2a0. zenon_intro zenon_H29e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1069_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L819_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L851_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L1072_); trivial.
% 1.11/1.31 apply (zenon_L1073_); trivial.
% 1.11/1.31 apply (zenon_L1079_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1084_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L837_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 apply (zenon_L1087_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L803_); trivial.
% 1.11/1.31 apply (zenon_L1068_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L819_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L851_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L1072_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L1085_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1084_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L836_); trivial.
% 1.11/1.31 apply (zenon_L1089_); trivial.
% 1.11/1.31 apply (zenon_L1091_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 apply (zenon_L1087_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1095_); trivial.
% 1.11/1.31 apply (zenon_L1098_); trivial.
% 1.11/1.31 apply (zenon_L1100_); trivial.
% 1.11/1.31 apply (zenon_L1103_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1095_); trivial.
% 1.11/1.31 apply (zenon_L1104_); trivial.
% 1.11/1.31 apply (zenon_L1100_); trivial.
% 1.11/1.31 apply (zenon_L1103_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1111_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L929_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L851_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L1112_); trivial.
% 1.11/1.31 apply (zenon_L1073_); trivial.
% 1.11/1.31 apply (zenon_L1114_); trivial.
% 1.11/1.31 apply (zenon_L1079_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1117_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L952_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1118_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L853_); trivial.
% 1.11/1.31 apply (zenon_L1079_); trivial.
% 1.11/1.31 apply (zenon_L1119_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_L955_); trivial.
% 1.11/1.31 apply (zenon_L1068_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L970_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.31 apply (zenon_L851_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ].
% 1.11/1.31 apply (zenon_L1112_); trivial.
% 1.11/1.31 apply (zenon_L332_); trivial.
% 1.11/1.31 apply (zenon_L1114_); trivial.
% 1.11/1.31 apply (zenon_L1120_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1117_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.31 apply (zenon_L978_); trivial.
% 1.11/1.31 apply (zenon_L1089_); trivial.
% 1.11/1.31 apply (zenon_L1091_); trivial.
% 1.11/1.31 apply (zenon_L733_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.31 apply (zenon_L1118_); trivial.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L853_); trivial.
% 1.11/1.32 apply (zenon_L1120_); trivial.
% 1.11/1.32 apply (zenon_L1119_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_L1111_); trivial.
% 1.11/1.32 apply (zenon_L1098_); trivial.
% 1.11/1.32 apply (zenon_L1121_); trivial.
% 1.11/1.32 apply (zenon_L1123_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L985_); trivial.
% 1.11/1.32 apply (zenon_L1068_); trivial.
% 1.11/1.32 apply (zenon_L1104_); trivial.
% 1.11/1.32 apply (zenon_L1121_); trivial.
% 1.11/1.32 apply (zenon_L1123_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_L1069_); trivial.
% 1.11/1.32 apply (zenon_L1124_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1015_); trivial.
% 1.11/1.32 apply (zenon_L1125_); trivial.
% 1.11/1.32 apply (zenon_L767_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1021_); trivial.
% 1.11/1.32 apply (zenon_L1068_); trivial.
% 1.11/1.32 apply (zenon_L1126_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1026_); trivial.
% 1.11/1.32 apply (zenon_L1125_); trivial.
% 1.11/1.32 apply (zenon_L1127_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1032_); trivial.
% 1.11/1.32 apply (zenon_L1068_); trivial.
% 1.11/1.32 apply (zenon_L1131_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1037_); trivial.
% 1.11/1.32 apply (zenon_L1125_); trivial.
% 1.11/1.32 apply (zenon_L1132_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1061_); trivial.
% 1.11/1.32 apply (zenon_L1068_); trivial.
% 1.11/1.32 apply (zenon_L1133_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L1060_); trivial.
% 1.11/1.32 apply (zenon_L239_); trivial.
% 1.11/1.32 apply (zenon_L1025_); trivial.
% 1.11/1.32 apply (zenon_L1125_); trivial.
% 1.11/1.32 apply (zenon_L1127_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L747_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.32 apply (zenon_L1094_); trivial.
% 1.11/1.32 apply (zenon_L108_); trivial.
% 1.11/1.32 apply (zenon_L1134_); trivial.
% 1.11/1.32 apply (zenon_L1137_); trivial.
% 1.11/1.32 apply (zenon_L1138_); trivial.
% 1.11/1.32 apply (zenon_L1139_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L711_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.32 apply (zenon_L1094_); trivial.
% 1.11/1.32 apply (zenon_L634_); trivial.
% 1.11/1.32 apply (zenon_L1134_); trivial.
% 1.11/1.32 apply (zenon_L1131_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L711_); trivial.
% 1.11/1.32 apply (zenon_L239_); trivial.
% 1.11/1.32 apply (zenon_L774_); trivial.
% 1.11/1.32 apply (zenon_L1142_); trivial.
% 1.11/1.32 apply (zenon_L1139_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_L1111_); trivial.
% 1.11/1.32 apply (zenon_L1124_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1056_); trivial.
% 1.11/1.32 apply (zenon_L1143_); trivial.
% 1.11/1.32 apply (zenon_L767_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L777_); trivial.
% 1.11/1.32 apply (zenon_L1110_); trivial.
% 1.11/1.32 apply (zenon_L1126_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L777_); trivial.
% 1.11/1.32 apply (zenon_L1143_); trivial.
% 1.11/1.32 apply (zenon_L1127_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1063_); trivial.
% 1.11/1.32 apply (zenon_L1144_); trivial.
% 1.11/1.32 apply (zenon_L1131_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1059_); trivial.
% 1.11/1.32 apply (zenon_L1143_); trivial.
% 1.11/1.32 apply (zenon_L1132_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L702_); trivial.
% 1.11/1.32 apply (zenon_L1144_); trivial.
% 1.11/1.32 apply (zenon_L1133_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L700_); trivial.
% 1.11/1.32 apply (zenon_L698_); trivial.
% 1.11/1.32 apply (zenon_L1143_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L683_); trivial.
% 1.11/1.32 apply (zenon_L733_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1062_); trivial.
% 1.11/1.32 apply (zenon_L1134_); trivial.
% 1.11/1.32 apply (zenon_L1137_); trivial.
% 1.11/1.32 apply (zenon_L1138_); trivial.
% 1.11/1.32 apply (zenon_L1139_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L711_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ].
% 1.11/1.32 apply (zenon_L984_); trivial.
% 1.11/1.32 apply (zenon_L634_); trivial.
% 1.11/1.32 apply (zenon_L1134_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_L1141_); trivial.
% 1.11/1.32 apply (zenon_L1097_); trivial.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f.
% 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203.
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ].
% 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ].
% 1.11/1.32 apply (zenon_L711_); trivial.
% 1.11/1.32 apply (zenon_L698_); trivial.
% 1.11/1.32 apply (zenon_L774_); trivial.
% 1.11/1.32 apply (zenon_L1142_); trivial.
% 1.11/1.32 apply (zenon_L1139_); trivial.
% 1.11/1.32 Qed.
% 1.11/1.32 % SZS output end Proof
% 1.11/1.32 (* END-PROOF *)
% 1.11/1.32 nodes searched: 33198
% 1.11/1.32 max branch formulas: 472
% 1.11/1.32 proof nodes created: 6316
% 1.11/1.32 formulas created: 36364
% 1.11/1.32
%------------------------------------------------------------------------------