TSTP Solution File: SYN473+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN473+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 13:53:15 EDT 2022
% Result : Theorem 1.20s 1.43s
% Output : Proof 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN473+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 15:36:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.20/1.43 (* PROOF-FOUND *)
% 1.20/1.43 % SZS status Theorem
% 1.20/1.43 (* BEGIN-PROOF *)
% 1.20/1.43 % SZS output start Proof
% 1.20/1.43 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a793))/\((c2_1 (a793))/\(~(c1_1 (a793)))))))/\(((~(hskp1))\/((ndr1_0)/\((c3_1 (a794))/\((~(c0_1 (a794)))/\(~(c2_1 (a794)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a795)))/\((~(c1_1 (a795)))/\(~(c3_1 (a795)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a798))/\((c2_1 (a798))/\(~(c3_1 (a798)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a799))/\((c3_1 (a799))/\(~(c1_1 (a799)))))))/\(((~(hskp5))\/((ndr1_0)/\((c3_1 (a800))/\((~(c0_1 (a800)))/\(~(c1_1 (a800)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a802))/\((~(c0_1 (a802)))/\(~(c1_1 (a802)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a821)))/\((~(c1_1 (a821)))/\(~(c2_1 (a821)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a856))/\((~(c2_1 (a856)))/\(~(c3_1 (a856)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))))/\(((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp3)\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp9)\/(hskp10)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((hskp1)\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp13)\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp0)\/(hskp5)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp13)\/(hskp16)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp17)\/(hskp0)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((hskp21)\/(hskp18)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp28)\/(hskp19)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((hskp4)\/(hskp28)))/\(((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))\/((hskp23)\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp22)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp15)\/(hskp16)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11)))/\(((hskp30)\/((hskp28)\/(hskp19)))/\(((hskp9)\/((hskp3)\/(hskp26)))/\(((hskp27)\/((hskp21)\/(hskp28)))/\(((hskp4)\/((hskp24)\/(hskp5)))/\(((hskp4)\/((hskp26)\/(hskp5)))/\(((hskp28)\/((hskp8)\/(hskp10)))/\((hskp22)\/((hskp1)\/(hskp11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 1.20/1.43 Proof.
% 1.20/1.43 assert (zenon_L1_ : (~(hskp4)) -> (hskp4) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H1 zenon_H2.
% 1.20/1.43 exact (zenon_H1 zenon_H2).
% 1.20/1.43 (* end of lemma zenon_L1_ *)
% 1.20/1.43 assert (zenon_L2_ : (~(hskp24)) -> (hskp24) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H3 zenon_H4.
% 1.20/1.43 exact (zenon_H3 zenon_H4).
% 1.20/1.43 (* end of lemma zenon_L2_ *)
% 1.20/1.43 assert (zenon_L3_ : (~(hskp5)) -> (hskp5) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H5 zenon_H6.
% 1.20/1.43 exact (zenon_H5 zenon_H6).
% 1.20/1.43 (* end of lemma zenon_L3_ *)
% 1.20/1.43 assert (zenon_L4_ : ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> (~(hskp24)) -> (~(hskp5)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 1.20/1.43 exact (zenon_H1 zenon_H2).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 1.20/1.43 exact (zenon_H3 zenon_H4).
% 1.20/1.43 exact (zenon_H5 zenon_H6).
% 1.20/1.43 (* end of lemma zenon_L4_ *)
% 1.20/1.43 assert (zenon_L5_ : (~(hskp30)) -> (hskp30) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H9 zenon_Ha.
% 1.20/1.43 exact (zenon_H9 zenon_Ha).
% 1.20/1.43 (* end of lemma zenon_L5_ *)
% 1.20/1.43 assert (zenon_L6_ : (~(hskp28)) -> (hskp28) -> False).
% 1.20/1.43 do 0 intro. intros zenon_Hb zenon_Hc.
% 1.20/1.43 exact (zenon_Hb zenon_Hc).
% 1.20/1.43 (* end of lemma zenon_L6_ *)
% 1.20/1.43 assert (zenon_L7_ : (~(hskp19)) -> (hskp19) -> False).
% 1.20/1.43 do 0 intro. intros zenon_Hd zenon_He.
% 1.20/1.43 exact (zenon_Hd zenon_He).
% 1.20/1.43 (* end of lemma zenon_L7_ *)
% 1.20/1.43 assert (zenon_L8_ : ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp30)) -> (~(hskp28)) -> (~(hskp19)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ].
% 1.20/1.43 exact (zenon_H9 zenon_Ha).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ].
% 1.20/1.43 exact (zenon_Hb zenon_Hc).
% 1.20/1.43 exact (zenon_Hd zenon_He).
% 1.20/1.43 (* end of lemma zenon_L8_ *)
% 1.20/1.43 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H11 zenon_H12.
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 (* end of lemma zenon_L9_ *)
% 1.20/1.43 assert (zenon_L10_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16.
% 1.20/1.43 generalize (zenon_H13 (a862)). zenon_intro zenon_H17.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 1.20/1.43 exact (zenon_H14 zenon_H1a).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 1.20/1.43 exact (zenon_H15 zenon_H1c).
% 1.20/1.43 exact (zenon_H1b zenon_H16).
% 1.20/1.43 (* end of lemma zenon_L10_ *)
% 1.20/1.43 assert (zenon_L11_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.20/1.43 generalize (zenon_H1d (a867)). zenon_intro zenon_H21.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H11 | zenon_intro zenon_H22 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 1.20/1.43 exact (zenon_H24 zenon_H1e).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 1.20/1.43 exact (zenon_H26 zenon_H1f).
% 1.20/1.43 exact (zenon_H25 zenon_H20).
% 1.20/1.43 (* end of lemma zenon_L11_ *)
% 1.20/1.43 assert (zenon_L12_ : (~(hskp22)) -> (hskp22) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H27 zenon_H28.
% 1.20/1.43 exact (zenon_H27 zenon_H28).
% 1.20/1.43 (* end of lemma zenon_L12_ *)
% 1.20/1.43 assert (zenon_L13_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H29 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ].
% 1.20/1.43 apply (zenon_L10_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ].
% 1.20/1.43 apply (zenon_L11_); trivial.
% 1.20/1.43 exact (zenon_H27 zenon_H28).
% 1.20/1.43 (* end of lemma zenon_L13_ *)
% 1.20/1.43 assert (zenon_L14_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_Hb zenon_Hd zenon_Hf.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.43 apply (zenon_L8_); trivial.
% 1.20/1.43 apply (zenon_L13_); trivial.
% 1.20/1.43 (* end of lemma zenon_L14_ *)
% 1.20/1.43 assert (zenon_L15_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H2f zenon_H12 zenon_H30 zenon_H31 zenon_H32.
% 1.20/1.43 generalize (zenon_H2f (a797)). zenon_intro zenon_H33.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 1.20/1.43 exact (zenon_H36 zenon_H30).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 1.20/1.43 exact (zenon_H38 zenon_H31).
% 1.20/1.43 exact (zenon_H37 zenon_H32).
% 1.20/1.43 (* end of lemma zenon_L15_ *)
% 1.20/1.43 assert (zenon_L16_ : (~(hskp27)) -> (hskp27) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H39 zenon_H3a.
% 1.20/1.43 exact (zenon_H39 zenon_H3a).
% 1.20/1.43 (* end of lemma zenon_L16_ *)
% 1.20/1.43 assert (zenon_L17_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> (~(hskp19)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H3b zenon_H3c zenon_H39 zenon_Hd.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ].
% 1.20/1.43 apply (zenon_L15_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H3a | zenon_intro zenon_He ].
% 1.20/1.43 exact (zenon_H39 zenon_H3a).
% 1.20/1.43 exact (zenon_Hd zenon_He).
% 1.20/1.43 (* end of lemma zenon_L17_ *)
% 1.20/1.43 assert (zenon_L18_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.43 apply (zenon_L14_); trivial.
% 1.20/1.43 apply (zenon_L17_); trivial.
% 1.20/1.43 (* end of lemma zenon_L18_ *)
% 1.20/1.43 assert (zenon_L19_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H41 zenon_H12 zenon_H42 zenon_H43 zenon_H44.
% 1.20/1.43 generalize (zenon_H41 (a796)). zenon_intro zenon_H45.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H11 | zenon_intro zenon_H46 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 1.20/1.43 exact (zenon_H48 zenon_H42).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 1.20/1.43 exact (zenon_H4a zenon_H43).
% 1.20/1.43 exact (zenon_H49 zenon_H44).
% 1.20/1.43 (* end of lemma zenon_L19_ *)
% 1.20/1.43 assert (zenon_L20_ : (~(hskp26)) -> (hskp26) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H4b zenon_H4c.
% 1.20/1.43 exact (zenon_H4b zenon_H4c).
% 1.20/1.43 (* end of lemma zenon_L20_ *)
% 1.20/1.43 assert (zenon_L21_ : (~(hskp11)) -> (hskp11) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H4d zenon_H4e.
% 1.20/1.43 exact (zenon_H4d zenon_H4e).
% 1.20/1.43 (* end of lemma zenon_L21_ *)
% 1.20/1.43 assert (zenon_L22_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4b zenon_H4d.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ].
% 1.20/1.43 apply (zenon_L19_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ].
% 1.20/1.43 exact (zenon_H4b zenon_H4c).
% 1.20/1.43 exact (zenon_H4d zenon_H4e).
% 1.20/1.43 (* end of lemma zenon_L22_ *)
% 1.20/1.43 assert (zenon_L23_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.43 apply (zenon_L18_); trivial.
% 1.20/1.43 apply (zenon_L22_); trivial.
% 1.20/1.43 (* end of lemma zenon_L23_ *)
% 1.20/1.43 assert (zenon_L24_ : (~(hskp8)) -> (hskp8) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H55 zenon_H56.
% 1.20/1.43 exact (zenon_H55 zenon_H56).
% 1.20/1.43 (* end of lemma zenon_L24_ *)
% 1.20/1.43 assert (zenon_L25_ : (~(hskp10)) -> (hskp10) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H57 zenon_H58.
% 1.20/1.43 exact (zenon_H57 zenon_H58).
% 1.20/1.43 (* end of lemma zenon_L25_ *)
% 1.20/1.43 assert (zenon_L26_ : ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp28)) -> (~(hskp8)) -> (~(hskp10)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H59 zenon_Hb zenon_H55 zenon_H57.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ].
% 1.20/1.43 exact (zenon_Hb zenon_Hc).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H56 | zenon_intro zenon_H58 ].
% 1.20/1.43 exact (zenon_H55 zenon_H56).
% 1.20/1.43 exact (zenon_H57 zenon_H58).
% 1.20/1.43 (* end of lemma zenon_L26_ *)
% 1.20/1.43 assert (zenon_L27_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H39 zenon_H55 zenon_H57 zenon_H59.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.43 apply (zenon_L26_); trivial.
% 1.20/1.43 apply (zenon_L17_); trivial.
% 1.20/1.43 (* end of lemma zenon_L27_ *)
% 1.20/1.43 assert (zenon_L28_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H5b zenon_H12 zenon_H5c zenon_H5d zenon_H5e.
% 1.20/1.43 generalize (zenon_H5b (a869)). zenon_intro zenon_H5f.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H60 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ].
% 1.20/1.43 exact (zenon_H5c zenon_H62).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 1.20/1.43 exact (zenon_H64 zenon_H5d).
% 1.20/1.43 exact (zenon_H63 zenon_H5e).
% 1.20/1.43 (* end of lemma zenon_L28_ *)
% 1.20/1.43 assert (zenon_L29_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a797))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H65 zenon_H12 zenon_H66 zenon_H30 zenon_H32.
% 1.20/1.43 generalize (zenon_H65 (a797)). zenon_intro zenon_H67.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H11 | zenon_intro zenon_H68 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 1.20/1.43 exact (zenon_H66 zenon_H6a).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 1.20/1.43 exact (zenon_H36 zenon_H30).
% 1.20/1.43 exact (zenon_H37 zenon_H32).
% 1.20/1.43 (* end of lemma zenon_L29_ *)
% 1.20/1.43 assert (zenon_L30_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (c2_1 (a797)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H6b zenon_H12 zenon_H65 zenon_H30 zenon_H32 zenon_H31.
% 1.20/1.43 generalize (zenon_H6b (a797)). zenon_intro zenon_H6c.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H11 | zenon_intro zenon_H6d ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H6e ].
% 1.20/1.43 apply (zenon_L29_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ].
% 1.20/1.43 exact (zenon_H36 zenon_H30).
% 1.20/1.43 exact (zenon_H38 zenon_H31).
% 1.20/1.43 (* end of lemma zenon_L30_ *)
% 1.20/1.43 assert (zenon_L31_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H65 zenon_H30 zenon_H32.
% 1.20/1.43 generalize (zenon_H1d (a797)). zenon_intro zenon_H6f.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H11 | zenon_intro zenon_H70 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H66 | zenon_intro zenon_H69 ].
% 1.20/1.43 apply (zenon_L29_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 1.20/1.43 exact (zenon_H36 zenon_H30).
% 1.20/1.43 exact (zenon_H37 zenon_H32).
% 1.20/1.43 (* end of lemma zenon_L31_ *)
% 1.20/1.43 assert (zenon_L32_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a797)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H31 zenon_H12 zenon_H65 zenon_H30 zenon_H32.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.43 apply (zenon_L28_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.43 apply (zenon_L30_); trivial.
% 1.20/1.43 apply (zenon_L31_); trivial.
% 1.20/1.43 (* end of lemma zenon_L32_ *)
% 1.20/1.43 assert (zenon_L33_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a796))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H73 zenon_H12 zenon_H74 zenon_H43 zenon_H44.
% 1.20/1.43 generalize (zenon_H73 (a796)). zenon_intro zenon_H75.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H11 | zenon_intro zenon_H76 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H77 | zenon_intro zenon_H47 ].
% 1.20/1.43 exact (zenon_H74 zenon_H77).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 1.20/1.43 exact (zenon_H4a zenon_H43).
% 1.20/1.43 exact (zenon_H49 zenon_H44).
% 1.20/1.43 (* end of lemma zenon_L33_ *)
% 1.20/1.43 assert (zenon_L34_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H6b zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.20/1.43 generalize (zenon_H6b (a796)). zenon_intro zenon_H78.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H11 | zenon_intro zenon_H79 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H48 | zenon_intro zenon_H7a ].
% 1.20/1.43 exact (zenon_H48 zenon_H42).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H74 | zenon_intro zenon_H4a ].
% 1.20/1.43 apply (zenon_L33_); trivial.
% 1.20/1.43 exact (zenon_H4a zenon_H43).
% 1.20/1.43 (* end of lemma zenon_L34_ *)
% 1.20/1.43 assert (zenon_L35_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.20/1.43 generalize (zenon_H1d (a796)). zenon_intro zenon_H7b.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_H11 | zenon_intro zenon_H7c ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H48 | zenon_intro zenon_H7d ].
% 1.20/1.43 exact (zenon_H48 zenon_H42).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H74 | zenon_intro zenon_H49 ].
% 1.20/1.43 apply (zenon_L33_); trivial.
% 1.20/1.43 exact (zenon_H49 zenon_H44).
% 1.20/1.43 (* end of lemma zenon_L35_ *)
% 1.20/1.43 assert (zenon_L36_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.43 apply (zenon_L28_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.43 apply (zenon_L34_); trivial.
% 1.20/1.43 apply (zenon_L35_); trivial.
% 1.20/1.43 (* end of lemma zenon_L36_ *)
% 1.20/1.43 assert (zenon_L37_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H3b zenon_H7e zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.43 apply (zenon_L32_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.43 apply (zenon_L36_); trivial.
% 1.20/1.43 exact (zenon_H55 zenon_H56).
% 1.20/1.43 (* end of lemma zenon_L37_ *)
% 1.20/1.43 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.43 apply (zenon_L14_); trivial.
% 1.20/1.43 apply (zenon_L37_); trivial.
% 1.20/1.43 (* end of lemma zenon_L38_ *)
% 1.20/1.43 assert (zenon_L39_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.43 apply (zenon_L23_); trivial.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.43 apply (zenon_L27_); trivial.
% 1.20/1.43 apply (zenon_L38_); trivial.
% 1.20/1.43 (* end of lemma zenon_L39_ *)
% 1.20/1.43 assert (zenon_L40_ : (~(hskp25)) -> (hskp25) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H84 zenon_H85.
% 1.20/1.43 exact (zenon_H84 zenon_H85).
% 1.20/1.43 (* end of lemma zenon_L40_ *)
% 1.20/1.43 assert (zenon_L41_ : (~(hskp1)) -> (hskp1) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H86 zenon_H87.
% 1.20/1.43 exact (zenon_H86 zenon_H87).
% 1.20/1.43 (* end of lemma zenon_L41_ *)
% 1.20/1.43 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp25)) -> (~(hskp1)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H29 zenon_H88 zenon_H84 zenon_H86.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H1d | zenon_intro zenon_H89 ].
% 1.20/1.43 apply (zenon_L11_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H85 | zenon_intro zenon_H87 ].
% 1.20/1.43 exact (zenon_H84 zenon_H85).
% 1.20/1.43 exact (zenon_H86 zenon_H87).
% 1.20/1.43 (* end of lemma zenon_L42_ *)
% 1.20/1.43 assert (zenon_L43_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hb zenon_Hd zenon_Hf.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.43 apply (zenon_L8_); trivial.
% 1.20/1.43 apply (zenon_L42_); trivial.
% 1.20/1.43 (* end of lemma zenon_L43_ *)
% 1.20/1.43 assert (zenon_L44_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H84 zenon_H86 zenon_H88 zenon_H2e.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.43 apply (zenon_L43_); trivial.
% 1.20/1.43 apply (zenon_L17_); trivial.
% 1.20/1.43 (* end of lemma zenon_L44_ *)
% 1.20/1.43 assert (zenon_L45_ : (~(hskp20)) -> (hskp20) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H8a zenon_H8b.
% 1.20/1.43 exact (zenon_H8a zenon_H8b).
% 1.20/1.43 (* end of lemma zenon_L45_ *)
% 1.20/1.43 assert (zenon_L46_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H8c zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H9 zenon_H8a.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ].
% 1.20/1.43 apply (zenon_L19_); trivial.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ].
% 1.20/1.43 exact (zenon_H9 zenon_Ha).
% 1.20/1.43 exact (zenon_H8a zenon_H8b).
% 1.20/1.43 (* end of lemma zenon_L46_ *)
% 1.20/1.43 assert (zenon_L47_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.43 apply (zenon_L44_); trivial.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.43 apply (zenon_L46_); trivial.
% 1.20/1.43 apply (zenon_L42_); trivial.
% 1.20/1.43 (* end of lemma zenon_L47_ *)
% 1.20/1.43 assert (zenon_L48_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H65 zenon_H12 zenon_H8e zenon_H8f zenon_H90.
% 1.20/1.43 generalize (zenon_H65 (a840)). zenon_intro zenon_H91.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H11 | zenon_intro zenon_H92 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ].
% 1.20/1.43 exact (zenon_H8e zenon_H94).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ].
% 1.20/1.43 exact (zenon_H96 zenon_H8f).
% 1.20/1.43 exact (zenon_H95 zenon_H90).
% 1.20/1.43 (* end of lemma zenon_L48_ *)
% 1.20/1.43 assert (zenon_L49_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> False).
% 1.20/1.43 do 0 intro. intros zenon_H5b zenon_H12 zenon_H8e zenon_H97 zenon_H90.
% 1.20/1.43 generalize (zenon_H5b (a840)). zenon_intro zenon_H98.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_H11 | zenon_intro zenon_H99 ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H94 | zenon_intro zenon_H9a ].
% 1.20/1.43 exact (zenon_H8e zenon_H94).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9b | zenon_intro zenon_H95 ].
% 1.20/1.43 generalize (zenon_H97 (a840)). zenon_intro zenon_H9c.
% 1.20/1.43 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ].
% 1.20/1.43 exact (zenon_H11 zenon_H12).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ].
% 1.20/1.43 exact (zenon_H8e zenon_H94).
% 1.20/1.43 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H95 ].
% 1.20/1.43 exact (zenon_H9b zenon_H9f).
% 1.20/1.43 exact (zenon_H95 zenon_H90).
% 1.20/1.43 exact (zenon_H95 zenon_H90).
% 1.20/1.43 (* end of lemma zenon_L49_ *)
% 1.20/1.43 assert (zenon_L50_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H90 zenon_H97 zenon_H8e zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L49_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L34_); trivial.
% 1.20/1.44 apply (zenon_L11_); trivial.
% 1.20/1.44 (* end of lemma zenon_L50_ *)
% 1.20/1.44 assert (zenon_L51_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H7e zenon_H8f zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L48_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L50_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L51_ *)
% 1.20/1.44 assert (zenon_L52_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.20/1.44 generalize (zenon_Ha0 (a865)). zenon_intro zenon_Ha4.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha5 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ].
% 1.20/1.44 exact (zenon_Ha1 zenon_Ha7).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ].
% 1.20/1.44 exact (zenon_Ha9 zenon_Ha2).
% 1.20/1.44 exact (zenon_Ha8 zenon_Ha3).
% 1.20/1.44 (* end of lemma zenon_L52_ *)
% 1.20/1.44 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H29 zenon_Haa zenon_H55 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.20/1.44 apply (zenon_L51_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.20/1.44 apply (zenon_L48_); trivial.
% 1.20/1.44 apply (zenon_L52_); trivial.
% 1.20/1.44 (* end of lemma zenon_L53_ *)
% 1.20/1.44 assert (zenon_L54_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hac zenon_Haa zenon_H8e zenon_H8f zenon_H90 zenon_H71 zenon_H7e zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H8c zenon_H8a zenon_H54.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.20/1.44 apply (zenon_L47_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L27_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.44 apply (zenon_L46_); trivial.
% 1.20/1.44 apply (zenon_L53_); trivial.
% 1.20/1.44 (* end of lemma zenon_L54_ *)
% 1.20/1.44 assert (zenon_L55_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L27_); trivial.
% 1.20/1.44 apply (zenon_L22_); trivial.
% 1.20/1.44 (* end of lemma zenon_L55_ *)
% 1.20/1.44 assert (zenon_L56_ : (~(hskp29)) -> (hskp29) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hb0 zenon_Hb1.
% 1.20/1.44 exact (zenon_Hb0 zenon_Hb1).
% 1.20/1.44 (* end of lemma zenon_L56_ *)
% 1.20/1.44 assert (zenon_L57_ : (~(hskp9)) -> (hskp9) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hb2 zenon_Hb3.
% 1.20/1.44 exact (zenon_Hb2 zenon_Hb3).
% 1.20/1.44 (* end of lemma zenon_L57_ *)
% 1.20/1.44 assert (zenon_L58_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hb4 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_Hb0 zenon_Hb2.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ].
% 1.20/1.44 apply (zenon_L28_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ].
% 1.20/1.44 exact (zenon_Hb0 zenon_Hb1).
% 1.20/1.44 exact (zenon_Hb2 zenon_Hb3).
% 1.20/1.44 (* end of lemma zenon_L58_ *)
% 1.20/1.44 assert (zenon_L59_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H6b zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8.
% 1.20/1.44 generalize (zenon_H6b (a829)). zenon_intro zenon_Hb9.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hba ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ].
% 1.20/1.44 exact (zenon_Hbc zenon_Hb6).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ].
% 1.20/1.44 exact (zenon_Hbe zenon_Hb7).
% 1.20/1.44 exact (zenon_Hbd zenon_Hb8).
% 1.20/1.44 (* end of lemma zenon_L59_ *)
% 1.20/1.44 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H29 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L28_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L59_); trivial.
% 1.20/1.44 apply (zenon_L11_); trivial.
% 1.20/1.44 (* end of lemma zenon_L60_ *)
% 1.20/1.44 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb zenon_Hd zenon_Hf.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.44 apply (zenon_L8_); trivial.
% 1.20/1.44 apply (zenon_L60_); trivial.
% 1.20/1.44 (* end of lemma zenon_L61_ *)
% 1.20/1.44 assert (zenon_L62_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hc2 zenon_H2e zenon_H71 zenon_Hb zenon_Hd zenon_Hf zenon_H12 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.20/1.44 apply (zenon_L58_); trivial.
% 1.20/1.44 apply (zenon_L61_); trivial.
% 1.20/1.44 (* end of lemma zenon_L62_ *)
% 1.20/1.44 assert (zenon_L63_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hb4 zenon_Hb2 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L62_); trivial.
% 1.20/1.44 apply (zenon_L17_); trivial.
% 1.20/1.44 (* end of lemma zenon_L63_ *)
% 1.20/1.44 assert (zenon_L64_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6.
% 1.20/1.44 generalize (zenon_Hc3 (a833)). zenon_intro zenon_Hc7.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc8 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ].
% 1.20/1.44 exact (zenon_Hc4 zenon_Hca).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ].
% 1.20/1.44 generalize (zenon_H65 (a833)). zenon_intro zenon_Hcd.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hcd); [ zenon_intro zenon_H11 | zenon_intro zenon_Hce ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ].
% 1.20/1.44 exact (zenon_Hc5 zenon_Hd0).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ].
% 1.20/1.44 exact (zenon_Hcb zenon_Hc6).
% 1.20/1.44 exact (zenon_Hd1 zenon_Hcc).
% 1.20/1.44 exact (zenon_Hcb zenon_Hc6).
% 1.20/1.44 (* end of lemma zenon_L64_ *)
% 1.20/1.44 assert (zenon_L65_ : (~(hskp17)) -> (hskp17) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hd2 zenon_Hd3.
% 1.20/1.44 exact (zenon_Hd2 zenon_Hd3).
% 1.20/1.44 (* end of lemma zenon_L65_ *)
% 1.20/1.44 assert (zenon_L66_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_Hd2 zenon_H55.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd5 ].
% 1.20/1.44 apply (zenon_L64_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H56 ].
% 1.20/1.44 exact (zenon_Hd2 zenon_Hd3).
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L66_ *)
% 1.20/1.44 assert (zenon_L67_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L28_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L59_); trivial.
% 1.20/1.44 apply (zenon_L35_); trivial.
% 1.20/1.44 (* end of lemma zenon_L67_ *)
% 1.20/1.44 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L66_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L67_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L68_ *)
% 1.20/1.44 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.20/1.44 apply (zenon_L58_); trivial.
% 1.20/1.44 apply (zenon_L68_); trivial.
% 1.20/1.44 (* end of lemma zenon_L69_ *)
% 1.20/1.44 assert (zenon_L70_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L63_); trivial.
% 1.20/1.44 apply (zenon_L69_); trivial.
% 1.20/1.44 (* end of lemma zenon_L70_ *)
% 1.20/1.44 assert (zenon_L71_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L55_); trivial.
% 1.20/1.44 apply (zenon_L70_); trivial.
% 1.20/1.44 (* end of lemma zenon_L71_ *)
% 1.20/1.44 assert (zenon_L72_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.20/1.44 generalize (zenon_Hd6 (a832)). zenon_intro zenon_Hda.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_H11 | zenon_intro zenon_Hdb ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ].
% 1.20/1.44 exact (zenon_Hd7 zenon_Hdd).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ].
% 1.20/1.44 generalize (zenon_Hd8 (a832)). zenon_intro zenon_He0.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_H11 | zenon_intro zenon_He1 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ].
% 1.20/1.44 exact (zenon_Hdf zenon_He3).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hde ].
% 1.20/1.44 exact (zenon_Hd7 zenon_Hdd).
% 1.20/1.44 exact (zenon_Hde zenon_Hd9).
% 1.20/1.44 exact (zenon_Hde zenon_Hd9).
% 1.20/1.44 (* end of lemma zenon_L72_ *)
% 1.20/1.44 assert (zenon_L73_ : (~(hskp3)) -> (hskp3) -> False).
% 1.20/1.44 do 0 intro. intros zenon_He4 zenon_He5.
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L73_ *)
% 1.20/1.44 assert (zenon_L74_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_He6 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H12 zenon_H39 zenon_He4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He7 ].
% 1.20/1.44 apply (zenon_L72_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H3a | zenon_intro zenon_He5 ].
% 1.20/1.44 exact (zenon_H39 zenon_H3a).
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L74_ *)
% 1.20/1.44 assert (zenon_L75_ : (~(hskp15)) -> (hskp15) -> False).
% 1.20/1.44 do 0 intro. intros zenon_He8 zenon_He9.
% 1.20/1.44 exact (zenon_He8 zenon_He9).
% 1.20/1.44 (* end of lemma zenon_L75_ *)
% 1.20/1.44 assert (zenon_L76_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp27)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_H39 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L26_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.20/1.44 apply (zenon_L74_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.20/1.44 apply (zenon_L15_); trivial.
% 1.20/1.44 exact (zenon_He8 zenon_He9).
% 1.20/1.44 (* end of lemma zenon_L76_ *)
% 1.20/1.44 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H8a zenon_H8c.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.44 apply (zenon_L46_); trivial.
% 1.20/1.44 apply (zenon_L13_); trivial.
% 1.20/1.44 (* end of lemma zenon_L77_ *)
% 1.20/1.44 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_L77_); trivial.
% 1.20/1.44 (* end of lemma zenon_L78_ *)
% 1.20/1.44 assert (zenon_L79_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.44 apply (zenon_L4_); trivial.
% 1.20/1.44 apply (zenon_L78_); trivial.
% 1.20/1.44 (* end of lemma zenon_L79_ *)
% 1.20/1.44 assert (zenon_L80_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_L22_); trivial.
% 1.20/1.44 (* end of lemma zenon_L80_ *)
% 1.20/1.44 assert (zenon_L81_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a840))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H90 zenon_H97 zenon_H8e zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L49_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L34_); trivial.
% 1.20/1.44 apply (zenon_L35_); trivial.
% 1.20/1.44 (* end of lemma zenon_L81_ *)
% 1.20/1.44 assert (zenon_L82_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H7e zenon_H8f zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L48_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L81_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L82_ *)
% 1.20/1.44 assert (zenon_L83_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (~(c1_1 (a869))) -> (c3_1 (a869)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H5c zenon_Hf1 zenon_H5e.
% 1.20/1.44 generalize (zenon_Hf0 (a869)). zenon_intro zenon_Hf2.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf3 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf4 ].
% 1.20/1.44 exact (zenon_H5c zenon_H62).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H63 ].
% 1.20/1.44 exact (zenon_Hf1 zenon_Hf5).
% 1.20/1.44 exact (zenon_H63 zenon_H5e).
% 1.20/1.44 (* end of lemma zenon_L83_ *)
% 1.20/1.44 assert (zenon_L84_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d.
% 1.20/1.44 generalize (zenon_Hf6 (a869)). zenon_intro zenon_Hf7.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hf7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf8 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf9 ].
% 1.20/1.44 exact (zenon_H5c zenon_H62).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H64 ].
% 1.20/1.44 apply (zenon_L83_); trivial.
% 1.20/1.44 exact (zenon_H64 zenon_H5d).
% 1.20/1.44 (* end of lemma zenon_L84_ *)
% 1.20/1.44 assert (zenon_L85_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H2f zenon_H12 zenon_Hf0 zenon_H5c zenon_H5e zenon_H5d.
% 1.20/1.44 generalize (zenon_H2f (a869)). zenon_intro zenon_Hfa.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfb ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H61 ].
% 1.20/1.44 apply (zenon_L83_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 1.20/1.44 exact (zenon_H64 zenon_H5d).
% 1.20/1.44 exact (zenon_H63 zenon_H5e).
% 1.20/1.44 (* end of lemma zenon_L85_ *)
% 1.20/1.44 assert (zenon_L86_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.20/1.44 apply (zenon_L72_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.20/1.44 apply (zenon_L85_); trivial.
% 1.20/1.44 exact (zenon_He8 zenon_He9).
% 1.20/1.44 (* end of lemma zenon_L86_ *)
% 1.20/1.44 assert (zenon_L87_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hfc zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9.
% 1.20/1.44 generalize (zenon_Hfc (a832)). zenon_intro zenon_Hfe.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H11 | zenon_intro zenon_Hff ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H100 | zenon_intro zenon_He2 ].
% 1.20/1.44 exact (zenon_Hfd zenon_H100).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hde ].
% 1.20/1.44 exact (zenon_Hd7 zenon_Hdd).
% 1.20/1.44 exact (zenon_Hde zenon_Hd9).
% 1.20/1.44 (* end of lemma zenon_L87_ *)
% 1.20/1.44 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H80 zenon_H102 zenon_H1 zenon_Hfd zenon_H7e zenon_H71 zenon_H103 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L80_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.20/1.44 apply (zenon_L82_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.20/1.44 apply (zenon_L84_); trivial.
% 1.20/1.44 apply (zenon_L86_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.20/1.44 apply (zenon_L87_); trivial.
% 1.20/1.44 exact (zenon_H1 zenon_H2).
% 1.20/1.44 (* end of lemma zenon_L88_ *)
% 1.20/1.44 assert (zenon_L89_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H80 zenon_H102 zenon_Hfd zenon_H7e zenon_H71 zenon_H103 zenon_H4d zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_H54 zenon_Hef.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.44 apply (zenon_L79_); trivial.
% 1.20/1.44 apply (zenon_L88_); trivial.
% 1.20/1.44 (* end of lemma zenon_L89_ *)
% 1.20/1.44 assert (zenon_L90_ : (~(hskp21)) -> (hskp21) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H109 zenon_H10a.
% 1.20/1.44 exact (zenon_H109 zenon_H10a).
% 1.20/1.44 (* end of lemma zenon_L90_ *)
% 1.20/1.44 assert (zenon_L91_ : ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp27)) -> (~(hskp21)) -> (~(hskp28)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H10b zenon_H39 zenon_H109 zenon_Hb.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H3a | zenon_intro zenon_H10c ].
% 1.20/1.44 exact (zenon_H39 zenon_H3a).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10a | zenon_intro zenon_Hc ].
% 1.20/1.44 exact (zenon_H109 zenon_H10a).
% 1.20/1.44 exact (zenon_Hb zenon_Hc).
% 1.20/1.44 (* end of lemma zenon_L91_ *)
% 1.20/1.44 assert (zenon_L92_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(hskp11)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H10d zenon_H109 zenon_H4d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H2f | zenon_intro zenon_H10e ].
% 1.20/1.44 apply (zenon_L15_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e ].
% 1.20/1.44 exact (zenon_H109 zenon_H10a).
% 1.20/1.44 exact (zenon_H4d zenon_H4e).
% 1.20/1.44 (* end of lemma zenon_L92_ *)
% 1.20/1.44 assert (zenon_L93_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4b zenon_H10b zenon_H109 zenon_H4d zenon_H10d zenon_H40.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L91_); trivial.
% 1.20/1.44 apply (zenon_L92_); trivial.
% 1.20/1.44 apply (zenon_L22_); trivial.
% 1.20/1.44 (* end of lemma zenon_L93_ *)
% 1.20/1.44 assert (zenon_L94_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H10d zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_H109 zenon_H4d.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H2f | zenon_intro zenon_H10e ].
% 1.20/1.44 apply (zenon_L85_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e ].
% 1.20/1.44 exact (zenon_H109 zenon_H10a).
% 1.20/1.44 exact (zenon_H4d zenon_H4e).
% 1.20/1.44 (* end of lemma zenon_L94_ *)
% 1.20/1.44 assert (zenon_L95_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H102 zenon_H4d zenon_H109 zenon_H10d zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.20/1.44 apply (zenon_L94_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.20/1.44 apply (zenon_L87_); trivial.
% 1.20/1.44 exact (zenon_H1 zenon_H2).
% 1.20/1.44 (* end of lemma zenon_L95_ *)
% 1.20/1.44 assert (zenon_L96_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L93_); trivial.
% 1.20/1.44 apply (zenon_L95_); trivial.
% 1.20/1.44 (* end of lemma zenon_L96_ *)
% 1.20/1.44 assert (zenon_L97_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H10f zenon_H12 zenon_H110 zenon_H111 zenon_H112.
% 1.20/1.44 generalize (zenon_H10f (a838)). zenon_intro zenon_H113.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H11 | zenon_intro zenon_H114 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ].
% 1.20/1.44 exact (zenon_H110 zenon_H116).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ].
% 1.20/1.44 exact (zenon_H118 zenon_H111).
% 1.20/1.44 exact (zenon_H117 zenon_H112).
% 1.20/1.44 (* end of lemma zenon_L97_ *)
% 1.20/1.44 assert (zenon_L98_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.20/1.44 apply (zenon_L64_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.20/1.44 apply (zenon_L97_); trivial.
% 1.20/1.44 apply (zenon_L72_); trivial.
% 1.20/1.44 (* end of lemma zenon_L98_ *)
% 1.20/1.44 assert (zenon_L99_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L98_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L36_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L99_ *)
% 1.20/1.44 assert (zenon_L100_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H73 zenon_H12 zenon_H2f zenon_H43 zenon_H44.
% 1.20/1.44 generalize (zenon_H73 (a796)). zenon_intro zenon_H75.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H11 | zenon_intro zenon_H76 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H77 | zenon_intro zenon_H47 ].
% 1.20/1.44 generalize (zenon_H2f (a796)). zenon_intro zenon_H11b.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H11 | zenon_intro zenon_H11c ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H74 | zenon_intro zenon_H47 ].
% 1.20/1.44 exact (zenon_H74 zenon_H77).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 1.20/1.44 exact (zenon_H4a zenon_H43).
% 1.20/1.44 exact (zenon_H49 zenon_H44).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 1.20/1.44 exact (zenon_H4a zenon_H43).
% 1.20/1.44 exact (zenon_H49 zenon_H44).
% 1.20/1.44 (* end of lemma zenon_L100_ *)
% 1.20/1.44 assert (zenon_L101_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L66_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L100_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L101_ *)
% 1.20/1.44 assert (zenon_L102_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H71 zenon_H7e zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.20/1.44 apply (zenon_L96_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L80_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.20/1.44 apply (zenon_L99_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.20/1.44 apply (zenon_L101_); trivial.
% 1.20/1.44 exact (zenon_He8 zenon_He9).
% 1.20/1.44 (* end of lemma zenon_L102_ *)
% 1.20/1.44 assert (zenon_L103_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a832))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H124 zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H10b zenon_H10d zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H4d zenon_H103 zenon_H71 zenon_H7e zenon_Hfd zenon_H102 zenon_H80 zenon_H108.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.20/1.44 apply (zenon_L89_); trivial.
% 1.20/1.44 apply (zenon_L102_); trivial.
% 1.20/1.44 (* end of lemma zenon_L103_ *)
% 1.20/1.44 assert (zenon_L104_ : (~(hskp7)) -> (hskp7) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H125 zenon_H126.
% 1.20/1.44 exact (zenon_H125 zenon_H126).
% 1.20/1.44 (* end of lemma zenon_L104_ *)
% 1.20/1.44 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H127 zenon_H4d zenon_H109 zenon_H5c zenon_H5e zenon_H5d zenon_H10d zenon_H125.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.20/1.44 apply (zenon_L94_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.20/1.44 apply (zenon_L15_); trivial.
% 1.20/1.44 exact (zenon_H125 zenon_H126).
% 1.20/1.44 (* end of lemma zenon_L105_ *)
% 1.20/1.44 assert (zenon_L106_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H5c zenon_H5e zenon_H5d zenon_H4d zenon_H10d zenon_H39 zenon_H109 zenon_H10b.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L91_); trivial.
% 1.20/1.44 apply (zenon_L105_); trivial.
% 1.20/1.44 (* end of lemma zenon_L106_ *)
% 1.20/1.44 assert (zenon_L107_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L93_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L106_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L26_); trivial.
% 1.20/1.44 apply (zenon_L37_); trivial.
% 1.20/1.44 (* end of lemma zenon_L107_ *)
% 1.20/1.44 assert (zenon_L108_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H129 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.20/1.44 generalize (zenon_H129 (a825)). zenon_intro zenon_H12d.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H11 | zenon_intro zenon_H12e ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ].
% 1.20/1.44 exact (zenon_H12a zenon_H130).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 1.20/1.44 exact (zenon_H132 zenon_H12b).
% 1.20/1.44 exact (zenon_H131 zenon_H12c).
% 1.20/1.44 (* end of lemma zenon_L108_ *)
% 1.20/1.44 assert (zenon_L109_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hb.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ].
% 1.20/1.44 apply (zenon_L108_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ].
% 1.20/1.44 apply (zenon_L97_); trivial.
% 1.20/1.44 exact (zenon_Hb zenon_Hc).
% 1.20/1.44 (* end of lemma zenon_L109_ *)
% 1.20/1.44 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L109_); trivial.
% 1.20/1.44 apply (zenon_L37_); trivial.
% 1.20/1.44 (* end of lemma zenon_L110_ *)
% 1.20/1.44 assert (zenon_L111_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L27_); trivial.
% 1.20/1.44 apply (zenon_L110_); trivial.
% 1.20/1.44 (* end of lemma zenon_L111_ *)
% 1.20/1.44 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H121 zenon_H80 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L55_); trivial.
% 1.20/1.44 apply (zenon_L111_); trivial.
% 1.20/1.44 (* end of lemma zenon_L112_ *)
% 1.20/1.44 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_L110_); trivial.
% 1.20/1.44 (* end of lemma zenon_L113_ *)
% 1.20/1.44 assert (zenon_L114_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H11e zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.20/1.44 apply (zenon_L96_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L80_); trivial.
% 1.20/1.44 apply (zenon_L113_); trivial.
% 1.20/1.44 (* end of lemma zenon_L114_ *)
% 1.20/1.44 assert (zenon_L115_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H1 zenon_H102 zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_H3c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H11e.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.20/1.44 apply (zenon_L107_); trivial.
% 1.20/1.44 apply (zenon_L112_); trivial.
% 1.20/1.44 apply (zenon_L114_); trivial.
% 1.20/1.44 (* end of lemma zenon_L115_ *)
% 1.20/1.44 assert (zenon_L116_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H27.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ].
% 1.20/1.44 apply (zenon_L10_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ].
% 1.20/1.44 apply (zenon_L31_); trivial.
% 1.20/1.44 exact (zenon_H27 zenon_H28).
% 1.20/1.44 (* end of lemma zenon_L116_ *)
% 1.20/1.44 assert (zenon_L117_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H73 zenon_H12 zenon_H139 zenon_H13a zenon_H13b.
% 1.20/1.44 generalize (zenon_H73 (a817)). zenon_intro zenon_H13c.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ].
% 1.20/1.44 exact (zenon_H139 zenon_H13f).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ].
% 1.20/1.44 exact (zenon_H141 zenon_H13a).
% 1.20/1.44 exact (zenon_H140 zenon_H13b).
% 1.20/1.44 (* end of lemma zenon_L117_ *)
% 1.20/1.44 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H7e zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H13b zenon_H13a zenon_H139 zenon_H55.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L116_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L117_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L118_ *)
% 1.20/1.44 assert (zenon_L119_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H27 zenon_H2a zenon_H55 zenon_H57 zenon_H59.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L26_); trivial.
% 1.20/1.44 apply (zenon_L118_); trivial.
% 1.20/1.44 (* end of lemma zenon_L119_ *)
% 1.20/1.44 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H55.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.44 apply (zenon_L48_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.44 apply (zenon_L117_); trivial.
% 1.20/1.44 exact (zenon_H55 zenon_H56).
% 1.20/1.44 (* end of lemma zenon_L120_ *)
% 1.20/1.44 assert (zenon_L121_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H40 zenon_Hef.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.44 apply (zenon_L4_); trivial.
% 1.20/1.44 apply (zenon_L119_); trivial.
% 1.20/1.44 apply (zenon_L120_); trivial.
% 1.20/1.44 (* end of lemma zenon_L121_ *)
% 1.20/1.44 assert (zenon_L122_ : ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> (~(hskp3)) -> (~(hskp26)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H142 zenon_Hb2 zenon_He4 zenon_H4b.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H143 ].
% 1.20/1.44 exact (zenon_Hb2 zenon_Hb3).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He5 | zenon_intro zenon_H4c ].
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 exact (zenon_H4b zenon_H4c).
% 1.20/1.44 (* end of lemma zenon_L122_ *)
% 1.20/1.44 assert (zenon_L123_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a797))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H66 zenon_H30 zenon_H31.
% 1.20/1.44 generalize (zenon_Hf6 (a797)). zenon_intro zenon_H144.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_H11 | zenon_intro zenon_H145 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ].
% 1.20/1.44 exact (zenon_H66 zenon_H6a).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ].
% 1.20/1.44 exact (zenon_H36 zenon_H30).
% 1.20/1.44 exact (zenon_H38 zenon_H31).
% 1.20/1.44 (* end of lemma zenon_L123_ *)
% 1.20/1.44 assert (zenon_L124_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H1d zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.20/1.44 generalize (zenon_H1d (a797)). zenon_intro zenon_H6f.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H11 | zenon_intro zenon_H70 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H66 | zenon_intro zenon_H69 ].
% 1.20/1.44 apply (zenon_L123_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 1.20/1.44 exact (zenon_H36 zenon_H30).
% 1.20/1.44 exact (zenon_H37 zenon_H32).
% 1.20/1.44 (* end of lemma zenon_L124_ *)
% 1.20/1.44 assert (zenon_L125_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L28_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L59_); trivial.
% 1.20/1.44 apply (zenon_L124_); trivial.
% 1.20/1.44 (* end of lemma zenon_L125_ *)
% 1.20/1.44 assert (zenon_L126_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H146 zenon_H147 zenon_H148.
% 1.20/1.44 generalize (zenon_Hf0 (a808)). zenon_intro zenon_H149.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H149); [ zenon_intro zenon_H11 | zenon_intro zenon_H14a ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ].
% 1.20/1.44 exact (zenon_H146 zenon_H14c).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ].
% 1.20/1.44 exact (zenon_H147 zenon_H14e).
% 1.20/1.44 exact (zenon_H14d zenon_H148).
% 1.20/1.44 (* end of lemma zenon_L126_ *)
% 1.20/1.44 assert (zenon_L127_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H14f zenon_H12 zenon_H147 zenon_Hf0 zenon_H148.
% 1.20/1.44 generalize (zenon_H14f (a808)). zenon_intro zenon_H150.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H11 | zenon_intro zenon_H151 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H14e | zenon_intro zenon_H152 ].
% 1.20/1.44 exact (zenon_H147 zenon_H14e).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H14d ].
% 1.20/1.44 apply (zenon_L126_); trivial.
% 1.20/1.44 exact (zenon_H14d zenon_H148).
% 1.20/1.44 (* end of lemma zenon_L127_ *)
% 1.20/1.44 assert (zenon_L128_ : (~(hskp13)) -> (hskp13) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H153 zenon_H154.
% 1.20/1.44 exact (zenon_H153 zenon_H154).
% 1.20/1.44 (* end of lemma zenon_L128_ *)
% 1.20/1.44 assert (zenon_L129_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.20/1.44 apply (zenon_L125_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.20/1.44 apply (zenon_L127_); trivial.
% 1.20/1.44 exact (zenon_H153 zenon_H154).
% 1.20/1.44 (* end of lemma zenon_L129_ *)
% 1.20/1.44 assert (zenon_L130_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H127 zenon_H125 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.20/1.44 apply (zenon_L58_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.20/1.44 apply (zenon_L129_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.20/1.44 apply (zenon_L15_); trivial.
% 1.20/1.44 exact (zenon_H125 zenon_H126).
% 1.20/1.44 (* end of lemma zenon_L130_ *)
% 1.20/1.44 assert (zenon_L131_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L62_); trivial.
% 1.20/1.44 apply (zenon_L130_); trivial.
% 1.20/1.44 (* end of lemma zenon_L131_ *)
% 1.20/1.44 assert (zenon_L132_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L122_); trivial.
% 1.20/1.44 apply (zenon_L131_); trivial.
% 1.20/1.44 (* end of lemma zenon_L132_ *)
% 1.20/1.44 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H102 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.20/1.44 apply (zenon_L129_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.20/1.44 apply (zenon_L87_); trivial.
% 1.20/1.44 exact (zenon_H1 zenon_H2).
% 1.20/1.44 (* end of lemma zenon_L133_ *)
% 1.20/1.44 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.20/1.44 apply (zenon_L58_); trivial.
% 1.20/1.44 apply (zenon_L133_); trivial.
% 1.20/1.44 (* end of lemma zenon_L134_ *)
% 1.20/1.44 assert (zenon_L135_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H80 zenon_H40 zenon_Hc2 zenon_H102 zenon_H1 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_H55 zenon_H57 zenon_H59 zenon_Hb2 zenon_He4 zenon_H142.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L122_); trivial.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L26_); trivial.
% 1.20/1.44 apply (zenon_L134_); trivial.
% 1.20/1.44 (* end of lemma zenon_L135_ *)
% 1.20/1.44 assert (zenon_L136_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H157 zenon_H12 zenon_H158 zenon_H159 zenon_H15a.
% 1.20/1.44 generalize (zenon_H157 (a814)). zenon_intro zenon_H15b.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H11 | zenon_intro zenon_H15c ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ].
% 1.20/1.44 exact (zenon_H158 zenon_H15e).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ].
% 1.20/1.44 exact (zenon_H159 zenon_H160).
% 1.20/1.44 exact (zenon_H15f zenon_H15a).
% 1.20/1.44 (* end of lemma zenon_L136_ *)
% 1.20/1.44 assert (zenon_L137_ : (~(hskp14)) -> (hskp14) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H161 zenon_H162.
% 1.20/1.44 exact (zenon_H161 zenon_H162).
% 1.20/1.44 (* end of lemma zenon_L137_ *)
% 1.20/1.44 assert (zenon_L138_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H163 zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H161 zenon_H3.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ].
% 1.20/1.44 apply (zenon_L35_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ].
% 1.20/1.44 exact (zenon_H161 zenon_H162).
% 1.20/1.44 exact (zenon_H3 zenon_H4).
% 1.20/1.44 (* end of lemma zenon_L138_ *)
% 1.20/1.44 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H3 zenon_H161 zenon_H163.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.20/1.44 apply (zenon_L136_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.20/1.44 apply (zenon_L138_); trivial.
% 1.20/1.44 apply (zenon_L19_); trivial.
% 1.20/1.44 (* end of lemma zenon_L139_ *)
% 1.20/1.44 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L18_); trivial.
% 1.20/1.44 apply (zenon_L77_); trivial.
% 1.20/1.44 (* end of lemma zenon_L140_ *)
% 1.20/1.44 assert (zenon_L141_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a.
% 1.20/1.44 generalize (zenon_Hc3 (a814)). zenon_intro zenon_H167.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H11 | zenon_intro zenon_H168 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H169 | zenon_intro zenon_H15d ].
% 1.20/1.44 generalize (zenon_Hd8 (a814)). zenon_intro zenon_H16a.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H11 | zenon_intro zenon_H16b ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H15e | zenon_intro zenon_H16c ].
% 1.20/1.44 exact (zenon_H158 zenon_H15e).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H160 | zenon_intro zenon_H16d ].
% 1.20/1.44 exact (zenon_H159 zenon_H160).
% 1.20/1.44 exact (zenon_H16d zenon_H169).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ].
% 1.20/1.44 exact (zenon_H159 zenon_H160).
% 1.20/1.44 exact (zenon_H15f zenon_H15a).
% 1.20/1.44 (* end of lemma zenon_L141_ *)
% 1.20/1.44 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp14)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H16e zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H16f zenon_He4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.20/1.44 apply (zenon_L136_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.20/1.44 apply (zenon_L141_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.20/1.44 apply (zenon_L48_); trivial.
% 1.20/1.44 exact (zenon_H161 zenon_H162).
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L142_ *)
% 1.20/1.44 assert (zenon_L143_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H161 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_Hef.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L27_); trivial.
% 1.20/1.44 apply (zenon_L139_); trivial.
% 1.20/1.44 apply (zenon_L140_); trivial.
% 1.20/1.44 apply (zenon_L142_); trivial.
% 1.20/1.44 (* end of lemma zenon_L143_ *)
% 1.20/1.44 assert (zenon_L144_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6.
% 1.20/1.44 generalize (zenon_Hc3 (a833)). zenon_intro zenon_Hc7.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc8 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ].
% 1.20/1.44 exact (zenon_Hc4 zenon_Hca).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ].
% 1.20/1.44 generalize (zenon_H97 (a833)). zenon_intro zenon_H172.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H11 | zenon_intro zenon_H173 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H174 ].
% 1.20/1.44 exact (zenon_Hc5 zenon_Hd0).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd1 ].
% 1.20/1.44 exact (zenon_Hc4 zenon_Hca).
% 1.20/1.44 exact (zenon_Hd1 zenon_Hcc).
% 1.20/1.44 exact (zenon_Hcb zenon_Hc6).
% 1.20/1.44 (* end of lemma zenon_L144_ *)
% 1.20/1.44 assert (zenon_L145_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_He4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.20/1.44 apply (zenon_L136_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.20/1.44 apply (zenon_L144_); trivial.
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L145_ *)
% 1.20/1.44 assert (zenon_L146_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_He4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.20/1.44 apply (zenon_L136_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.20/1.44 apply (zenon_L64_); trivial.
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L146_ *)
% 1.20/1.44 assert (zenon_L147_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Ha0 zenon_H159 zenon_H15a.
% 1.20/1.44 generalize (zenon_Hc3 (a814)). zenon_intro zenon_H167.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H11 | zenon_intro zenon_H168 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H169 | zenon_intro zenon_H15d ].
% 1.20/1.44 generalize (zenon_Ha0 (a814)). zenon_intro zenon_H175.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H11 | zenon_intro zenon_H176 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H160 | zenon_intro zenon_H177 ].
% 1.20/1.44 exact (zenon_H159 zenon_H160).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 1.20/1.44 exact (zenon_H15f zenon_H15a).
% 1.20/1.44 exact (zenon_H16d zenon_H169).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ].
% 1.20/1.44 exact (zenon_H159 zenon_H160).
% 1.20/1.44 exact (zenon_H15f zenon_H15a).
% 1.20/1.44 (* end of lemma zenon_L147_ *)
% 1.20/1.44 assert (zenon_L148_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_Ha0 zenon_H12 zenon_He4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.20/1.44 apply (zenon_L136_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.20/1.44 apply (zenon_L147_); trivial.
% 1.20/1.44 exact (zenon_He4 zenon_He5).
% 1.20/1.44 (* end of lemma zenon_L148_ *)
% 1.20/1.44 assert (zenon_L149_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(hskp3)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H11d zenon_Haa zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_He4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.20/1.44 apply (zenon_L145_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.20/1.44 apply (zenon_L146_); trivial.
% 1.20/1.44 apply (zenon_L148_); trivial.
% 1.20/1.44 (* end of lemma zenon_L149_ *)
% 1.20/1.44 assert (zenon_L150_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H124 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.20/1.44 apply (zenon_L143_); trivial.
% 1.20/1.44 apply (zenon_L149_); trivial.
% 1.20/1.44 (* end of lemma zenon_L150_ *)
% 1.20/1.44 assert (zenon_L151_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hef zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.44 apply (zenon_L76_); trivial.
% 1.20/1.44 apply (zenon_L139_); trivial.
% 1.20/1.44 apply (zenon_L78_); trivial.
% 1.20/1.44 (* end of lemma zenon_L151_ *)
% 1.20/1.44 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H124 zenon_Haa zenon_Hef zenon_H2e zenon_H2a zenon_H8c zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_H16e zenon_H108.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.44 apply (zenon_L151_); trivial.
% 1.20/1.44 apply (zenon_L142_); trivial.
% 1.20/1.44 apply (zenon_L149_); trivial.
% 1.20/1.44 (* end of lemma zenon_L152_ *)
% 1.20/1.44 assert (zenon_L153_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H178 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_H40 zenon_Hef.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.20/1.44 apply (zenon_L121_); trivial.
% 1.20/1.44 (* end of lemma zenon_L153_ *)
% 1.20/1.44 assert (zenon_L154_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H17b zenon_H12 zenon_H17c zenon_H17d zenon_H17e.
% 1.20/1.44 generalize (zenon_H17b (a816)). zenon_intro zenon_H17f.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H11 | zenon_intro zenon_H180 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ].
% 1.20/1.44 exact (zenon_H17c zenon_H182).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ].
% 1.20/1.44 exact (zenon_H17d zenon_H184).
% 1.20/1.44 exact (zenon_H183 zenon_H17e).
% 1.20/1.44 (* end of lemma zenon_L154_ *)
% 1.20/1.44 assert (zenon_L155_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H8a zenon_H86.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ].
% 1.20/1.44 apply (zenon_L154_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ].
% 1.20/1.44 exact (zenon_H8a zenon_H8b).
% 1.20/1.44 exact (zenon_H86 zenon_H87).
% 1.20/1.44 (* end of lemma zenon_L155_ *)
% 1.20/1.44 assert (zenon_L156_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H187 zenon_H124 zenon_Haa zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H86 zenon_H185.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.20/1.44 apply (zenon_L155_); trivial.
% 1.20/1.44 apply (zenon_L149_); trivial.
% 1.20/1.44 (* end of lemma zenon_L156_ *)
% 1.20/1.44 assert (zenon_L157_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.20/1.44 apply (zenon_L150_); trivial.
% 1.20/1.44 apply (zenon_L152_); trivial.
% 1.20/1.44 apply (zenon_L153_); trivial.
% 1.20/1.44 apply (zenon_L156_); trivial.
% 1.20/1.44 (* end of lemma zenon_L157_ *)
% 1.20/1.44 assert (zenon_L158_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.20/1.44 apply (zenon_L157_); trivial.
% 1.20/1.44 (* end of lemma zenon_L158_ *)
% 1.20/1.44 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H109 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.44 apply (zenon_L62_); trivial.
% 1.20/1.44 apply (zenon_L105_); trivial.
% 1.20/1.44 (* end of lemma zenon_L159_ *)
% 1.20/1.44 assert (zenon_L160_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H109 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.44 apply (zenon_L122_); trivial.
% 1.20/1.44 apply (zenon_L159_); trivial.
% 1.20/1.44 (* end of lemma zenon_L160_ *)
% 1.20/1.44 assert (zenon_L161_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H18f zenon_H12 zenon_H190 zenon_H191 zenon_H192.
% 1.20/1.44 generalize (zenon_H18f (a807)). zenon_intro zenon_H193.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H11 | zenon_intro zenon_H194 ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ].
% 1.20/1.44 exact (zenon_H190 zenon_H196).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ].
% 1.20/1.44 exact (zenon_H191 zenon_H198).
% 1.20/1.44 exact (zenon_H192 zenon_H197).
% 1.20/1.44 (* end of lemma zenon_L161_ *)
% 1.20/1.44 assert (zenon_L162_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a838)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H1d zenon_H12 zenon_H111 zenon_H199 zenon_H110 zenon_H112.
% 1.20/1.44 generalize (zenon_H1d (a838)). zenon_intro zenon_H19a.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H11 | zenon_intro zenon_H19b ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H118 | zenon_intro zenon_H19c ].
% 1.20/1.44 exact (zenon_H118 zenon_H111).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19d | zenon_intro zenon_H117 ].
% 1.20/1.44 generalize (zenon_H199 (a838)). zenon_intro zenon_H19e.
% 1.20/1.44 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H11 | zenon_intro zenon_H19f ].
% 1.20/1.44 exact (zenon_H11 zenon_H12).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ].
% 1.20/1.44 exact (zenon_H19d zenon_H1a1).
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ].
% 1.20/1.44 exact (zenon_H110 zenon_H116).
% 1.20/1.44 exact (zenon_H117 zenon_H112).
% 1.20/1.44 exact (zenon_H117 zenon_H112).
% 1.20/1.44 (* end of lemma zenon_L162_ *)
% 1.20/1.44 assert (zenon_L163_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a838)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H111 zenon_H199 zenon_H110 zenon_H112.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.20/1.44 apply (zenon_L28_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.20/1.44 apply (zenon_L59_); trivial.
% 1.20/1.44 apply (zenon_L162_); trivial.
% 1.20/1.44 (* end of lemma zenon_L163_ *)
% 1.20/1.44 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> False).
% 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H14 zenon_H15 zenon_H16.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.20/1.44 apply (zenon_L161_); trivial.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.20/1.44 apply (zenon_L163_); trivial.
% 1.20/1.44 apply (zenon_L10_); trivial.
% 1.20/1.44 (* end of lemma zenon_L164_ *)
% 1.20/1.44 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.20/1.44 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H16 zenon_H15 zenon_H14 zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.20/1.44 apply (zenon_L58_); trivial.
% 1.20/1.44 apply (zenon_L164_); trivial.
% 1.20/1.44 (* end of lemma zenon_L165_ *)
% 1.20/1.44 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hec zenon_H80 zenon_Hc2 zenon_H1a2 zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.45 apply (zenon_L122_); trivial.
% 1.20/1.45 apply (zenon_L165_); trivial.
% 1.20/1.45 (* end of lemma zenon_L166_ *)
% 1.20/1.45 assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H121 zenon_Hef zenon_H80 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1 zenon_H5 zenon_H7.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.45 apply (zenon_L4_); trivial.
% 1.20/1.45 apply (zenon_L166_); trivial.
% 1.20/1.45 (* end of lemma zenon_L167_ *)
% 1.20/1.45 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hef zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H5 zenon_H7 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.20/1.45 apply (zenon_L96_); trivial.
% 1.20/1.45 apply (zenon_L167_); trivial.
% 1.20/1.45 (* end of lemma zenon_L168_ *)
% 1.20/1.45 assert (zenon_L169_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H199 zenon_H12 zenon_H147 zenon_H1a4 zenon_H148.
% 1.20/1.45 generalize (zenon_H199 (a808)). zenon_intro zenon_H1a5.
% 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a6 ].
% 1.20/1.45 exact (zenon_H11 zenon_H12).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H14e | zenon_intro zenon_H1a7 ].
% 1.20/1.45 exact (zenon_H147 zenon_H14e).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H14d ].
% 1.20/1.45 exact (zenon_H1a4 zenon_H1a8).
% 1.20/1.45 exact (zenon_H14d zenon_H148).
% 1.20/1.45 (* end of lemma zenon_L169_ *)
% 1.20/1.45 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.20/1.45 apply (zenon_L161_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.20/1.45 apply (zenon_L169_); trivial.
% 1.20/1.45 apply (zenon_L10_); trivial.
% 1.20/1.45 (* end of lemma zenon_L170_ *)
% 1.20/1.45 assert (zenon_L171_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H1a9 zenon_Hef zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.45 apply (zenon_L4_); trivial.
% 1.20/1.45 apply (zenon_L170_); trivial.
% 1.20/1.45 (* end of lemma zenon_L171_ *)
% 1.20/1.45 assert (zenon_L172_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H1ac zenon_H11e zenon_Hef zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H102 zenon_H10b zenon_H50 zenon_H54 zenon_H138.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.20/1.45 apply (zenon_L160_); trivial.
% 1.20/1.45 apply (zenon_L167_); trivial.
% 1.20/1.45 apply (zenon_L168_); trivial.
% 1.20/1.45 apply (zenon_L171_); trivial.
% 1.20/1.45 (* end of lemma zenon_L172_ *)
% 1.20/1.45 assert (zenon_L173_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.45 apply (zenon_L4_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.20/1.45 apply (zenon_L39_); trivial.
% 1.20/1.45 (* end of lemma zenon_L173_ *)
% 1.20/1.45 assert (zenon_L174_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Ha0 zenon_H1ad zenon_H1ae.
% 1.20/1.45 generalize (zenon_Hc3 (a806)). zenon_intro zenon_H1af.
% 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b0 ].
% 1.20/1.45 exact (zenon_H11 zenon_H12).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ].
% 1.20/1.45 generalize (zenon_Ha0 (a806)). zenon_intro zenon_H1b3.
% 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b4 ].
% 1.20/1.45 exact (zenon_H11 zenon_H12).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ].
% 1.20/1.45 exact (zenon_H1ad zenon_H1b6).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1b7 ].
% 1.20/1.45 exact (zenon_H1b8 zenon_H1ae).
% 1.20/1.45 exact (zenon_H1b7 zenon_H1b2).
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b8 ].
% 1.20/1.45 exact (zenon_H1ad zenon_H1b6).
% 1.20/1.45 exact (zenon_H1b8 zenon_H1ae).
% 1.20/1.45 (* end of lemma zenon_L174_ *)
% 1.20/1.45 assert (zenon_L175_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_Hd2 zenon_H55.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd5 ].
% 1.20/1.45 apply (zenon_L174_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H56 ].
% 1.20/1.45 exact (zenon_Hd2 zenon_Hd3).
% 1.20/1.45 exact (zenon_H55 zenon_H56).
% 1.20/1.45 (* end of lemma zenon_L175_ *)
% 1.20/1.45 assert (zenon_L176_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H81 zenon_H54 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H8e zenon_H8f zenon_H90 zenon_H71 zenon_H7e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.45 apply (zenon_L27_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.45 apply (zenon_L26_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.20/1.45 apply (zenon_L82_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.20/1.45 apply (zenon_L32_); trivial.
% 1.20/1.45 apply (zenon_L175_); trivial.
% 1.20/1.45 (* end of lemma zenon_L176_ *)
% 1.20/1.45 assert (zenon_L177_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H10b zenon_H10d zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H4d zenon_H103 zenon_H71 zenon_H7e zenon_H102 zenon_H80 zenon_H108.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.20/1.45 apply (zenon_L103_); trivial.
% 1.20/1.45 (* end of lemma zenon_L177_ *)
% 1.20/1.45 assert (zenon_L178_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.45 apply (zenon_L173_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.20/1.45 apply (zenon_L55_); trivial.
% 1.20/1.45 apply (zenon_L176_); trivial.
% 1.20/1.45 apply (zenon_L177_); trivial.
% 1.20/1.45 (* end of lemma zenon_L178_ *)
% 1.20/1.45 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H1 zenon_H102 zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_H3c zenon_H133 zenon_H11e.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.20/1.45 apply (zenon_L115_); trivial.
% 1.20/1.45 (* end of lemma zenon_L179_ *)
% 1.20/1.45 assert (zenon_L180_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H161 zenon_H3 zenon_H163 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.20/1.45 apply (zenon_L46_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.20/1.45 apply (zenon_L138_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.20/1.45 apply (zenon_L11_); trivial.
% 1.20/1.45 exact (zenon_Hb zenon_Hc).
% 1.20/1.45 (* end of lemma zenon_L180_ *)
% 1.20/1.45 assert (zenon_L181_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H163 zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H161 zenon_H3.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ].
% 1.20/1.45 apply (zenon_L31_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ].
% 1.20/1.45 exact (zenon_H161 zenon_H162).
% 1.20/1.45 exact (zenon_H3 zenon_H4).
% 1.20/1.45 (* end of lemma zenon_L181_ *)
% 1.20/1.45 assert (zenon_L182_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp24)) -> (~(hskp14)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp8)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H3b zenon_H7e zenon_H3 zenon_H161 zenon_H42 zenon_H43 zenon_H44 zenon_H163 zenon_H55.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.20/1.45 apply (zenon_L181_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.20/1.45 apply (zenon_L138_); trivial.
% 1.20/1.45 exact (zenon_H55 zenon_H56).
% 1.20/1.45 (* end of lemma zenon_L182_ *)
% 1.20/1.45 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H1bc zenon_H2e.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.20/1.45 apply (zenon_L180_); trivial.
% 1.20/1.45 apply (zenon_L182_); trivial.
% 1.20/1.45 (* end of lemma zenon_L183_ *)
% 1.20/1.45 assert (zenon_L184_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.20/1.45 apply (zenon_L27_); trivial.
% 1.20/1.45 apply (zenon_L183_); trivial.
% 1.20/1.45 (* end of lemma zenon_L184_ *)
% 1.20/1.45 assert (zenon_L185_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_Hef zenon_H2a zenon_H27 zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8a zenon_H8c zenon_H7e zenon_H54.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.20/1.45 apply (zenon_L184_); trivial.
% 1.20/1.45 apply (zenon_L140_); trivial.
% 1.20/1.45 (* end of lemma zenon_L185_ *)
% 1.20/1.45 assert (zenon_L186_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H108 zenon_Hac zenon_Haa zenon_H71 zenon_H86 zenon_H88 zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.20/1.45 apply (zenon_L185_); trivial.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.20/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.20/1.45 apply (zenon_L54_); trivial.
% 1.20/1.45 (* end of lemma zenon_L186_ *)
% 1.20/1.45 assert (zenon_L187_ : (~(hskp12)) -> (hskp12) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H1be zenon_H1bf.
% 1.20/1.45 exact (zenon_H1be zenon_H1bf).
% 1.20/1.45 (* end of lemma zenon_L187_ *)
% 1.20/1.45 assert (zenon_L188_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.20/1.45 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.20/1.45 apply (zenon_L64_); trivial.
% 1.20/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.20/1.45 apply (zenon_L124_); trivial.
% 1.20/1.45 exact (zenon_H1be zenon_H1bf).
% 1.20/1.45 (* end of lemma zenon_L188_ *)
% 1.20/1.45 assert (zenon_L189_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(hskp12)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H7e zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_H1be zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H55.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.45 apply (zenon_L188_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.28/1.45 apply (zenon_L144_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.28/1.45 apply (zenon_L35_); trivial.
% 1.28/1.45 exact (zenon_H1be zenon_H1bf).
% 1.28/1.45 exact (zenon_H55 zenon_H56).
% 1.28/1.45 (* end of lemma zenon_L189_ *)
% 1.28/1.45 assert (zenon_L190_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.28/1.45 apply (zenon_L188_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.28/1.45 apply (zenon_L127_); trivial.
% 1.28/1.45 exact (zenon_H153 zenon_H154).
% 1.28/1.45 (* end of lemma zenon_L190_ *)
% 1.28/1.45 assert (zenon_L191_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.28/1.45 apply (zenon_L174_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.28/1.45 apply (zenon_L124_); trivial.
% 1.28/1.45 exact (zenon_H1be zenon_H1bf).
% 1.28/1.45 (* end of lemma zenon_L191_ *)
% 1.28/1.45 assert (zenon_L192_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.28/1.45 apply (zenon_L191_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.28/1.45 apply (zenon_L127_); trivial.
% 1.28/1.45 exact (zenon_H153 zenon_H154).
% 1.28/1.45 (* end of lemma zenon_L192_ *)
% 1.28/1.45 assert (zenon_L193_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp8)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_Haa zenon_H7e zenon_H42 zenon_H43 zenon_H44 zenon_H55 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.28/1.45 apply (zenon_L189_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.28/1.45 apply (zenon_L127_); trivial.
% 1.28/1.45 exact (zenon_H153 zenon_H154).
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.45 apply (zenon_L190_); trivial.
% 1.28/1.45 apply (zenon_L192_); trivial.
% 1.28/1.45 (* end of lemma zenon_L193_ *)
% 1.28/1.45 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L26_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.28/1.45 apply (zenon_L193_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.28/1.45 apply (zenon_L101_); trivial.
% 1.28/1.45 exact (zenon_H125 zenon_H126).
% 1.28/1.45 (* end of lemma zenon_L194_ *)
% 1.28/1.45 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L27_); trivial.
% 1.28/1.45 apply (zenon_L194_); trivial.
% 1.28/1.45 (* end of lemma zenon_L195_ *)
% 1.28/1.45 assert (zenon_L196_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1ae zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H71 zenon_Haa zenon_Hac zenon_H108.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L186_); trivial.
% 1.28/1.45 apply (zenon_L195_); trivial.
% 1.28/1.45 (* end of lemma zenon_L196_ *)
% 1.28/1.45 assert (zenon_L197_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1c2 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H5.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.28/1.45 apply (zenon_L72_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.28/1.45 apply (zenon_L11_); trivial.
% 1.28/1.45 exact (zenon_H5 zenon_H6).
% 1.28/1.45 (* end of lemma zenon_L197_ *)
% 1.28/1.45 assert (zenon_L198_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1bc zenon_H44 zenon_H43 zenon_H2f zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_Hb.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.28/1.45 apply (zenon_L100_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.28/1.45 apply (zenon_L11_); trivial.
% 1.28/1.45 exact (zenon_Hb zenon_Hc).
% 1.28/1.45 (* end of lemma zenon_L198_ *)
% 1.28/1.45 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H29 zenon_Hea zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_Hb zenon_H43 zenon_H44 zenon_H1bc zenon_He8.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.45 apply (zenon_L197_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.45 apply (zenon_L198_); trivial.
% 1.28/1.45 exact (zenon_He8 zenon_He9).
% 1.28/1.45 (* end of lemma zenon_L199_ *)
% 1.28/1.45 assert (zenon_L200_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_Hb zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.28/1.45 apply (zenon_L46_); trivial.
% 1.28/1.45 apply (zenon_L199_); trivial.
% 1.28/1.45 (* end of lemma zenon_L200_ *)
% 1.28/1.45 assert (zenon_L201_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_Haa zenon_H55 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H1e zenon_H1f zenon_H20 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.45 apply (zenon_L51_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.45 apply (zenon_L48_); trivial.
% 1.28/1.45 apply (zenon_L192_); trivial.
% 1.28/1.45 (* end of lemma zenon_L201_ *)
% 1.28/1.45 assert (zenon_L202_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H101 zenon_H54 zenon_H1c4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L76_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L200_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.28/1.45 apply (zenon_L46_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.45 apply (zenon_L201_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.45 apply (zenon_L197_); trivial.
% 1.28/1.45 exact (zenon_H5 zenon_H6).
% 1.28/1.45 (* end of lemma zenon_L202_ *)
% 1.28/1.45 assert (zenon_L203_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H108 zenon_H1c4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H1c2 zenon_H1bc zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_H54 zenon_Hef.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.45 apply (zenon_L79_); trivial.
% 1.28/1.45 apply (zenon_L202_); trivial.
% 1.28/1.45 (* end of lemma zenon_L203_ *)
% 1.28/1.45 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_Haa zenon_H125.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.28/1.45 apply (zenon_L193_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.28/1.45 apply (zenon_L15_); trivial.
% 1.28/1.45 exact (zenon_H125 zenon_H126).
% 1.28/1.45 (* end of lemma zenon_L204_ *)
% 1.28/1.45 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L26_); trivial.
% 1.28/1.45 apply (zenon_L204_); trivial.
% 1.28/1.45 (* end of lemma zenon_L205_ *)
% 1.28/1.45 assert (zenon_L206_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H127 zenon_H125 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L203_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L76_); trivial.
% 1.28/1.45 apply (zenon_L205_); trivial.
% 1.28/1.45 (* end of lemma zenon_L206_ *)
% 1.28/1.45 assert (zenon_L207_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H39 zenon_H109 zenon_H10b.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L91_); trivial.
% 1.28/1.45 apply (zenon_L17_); trivial.
% 1.28/1.45 (* end of lemma zenon_L207_ *)
% 1.28/1.45 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L109_); trivial.
% 1.28/1.45 apply (zenon_L204_); trivial.
% 1.28/1.45 (* end of lemma zenon_L208_ *)
% 1.28/1.45 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L207_); trivial.
% 1.28/1.45 apply (zenon_L205_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L27_); trivial.
% 1.28/1.45 apply (zenon_L208_); trivial.
% 1.28/1.45 (* end of lemma zenon_L209_ *)
% 1.28/1.45 assert (zenon_L210_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H10b zenon_H1ae zenon_H1ad zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H71 zenon_Haa zenon_Hac zenon_H108.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L186_); trivial.
% 1.28/1.45 apply (zenon_L209_); trivial.
% 1.28/1.45 (* end of lemma zenon_L210_ *)
% 1.28/1.45 assert (zenon_L211_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L155_); trivial.
% 1.28/1.45 apply (zenon_L195_); trivial.
% 1.28/1.45 (* end of lemma zenon_L211_ *)
% 1.28/1.45 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L203_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_L76_); trivial.
% 1.28/1.45 apply (zenon_L194_); trivial.
% 1.28/1.45 (* end of lemma zenon_L212_ *)
% 1.28/1.45 assert (zenon_L213_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H138 zenon_Hef zenon_H2e zenon_H2a zenon_H8c zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_H71 zenon_H1c4 zenon_H108 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hd2 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.45 apply (zenon_L211_); trivial.
% 1.28/1.45 apply (zenon_L212_); trivial.
% 1.28/1.45 (* end of lemma zenon_L213_ *)
% 1.28/1.45 assert (zenon_L214_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L155_); trivial.
% 1.28/1.45 apply (zenon_L209_); trivial.
% 1.28/1.45 (* end of lemma zenon_L214_ *)
% 1.28/1.45 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H13b zenon_H13a zenon_H139 zenon_H55.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.45 apply (zenon_L66_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.45 apply (zenon_L117_); trivial.
% 1.28/1.45 exact (zenon_H55 zenon_H56).
% 1.28/1.45 (* end of lemma zenon_L215_ *)
% 1.28/1.45 assert (zenon_L216_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L155_); trivial.
% 1.28/1.45 apply (zenon_L215_); trivial.
% 1.28/1.45 (* end of lemma zenon_L216_ *)
% 1.28/1.45 assert (zenon_L217_ : (~(hskp0)) -> (hskp0) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1c6 zenon_H1c7.
% 1.28/1.45 exact (zenon_H1c6 zenon_H1c7).
% 1.28/1.45 (* end of lemma zenon_L217_ *)
% 1.28/1.45 assert (zenon_L218_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp21)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1c8 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1c6 zenon_H109.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1c9 ].
% 1.28/1.45 apply (zenon_L87_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10a ].
% 1.28/1.45 exact (zenon_H1c6 zenon_H1c7).
% 1.28/1.45 exact (zenon_H109 zenon_H10a).
% 1.28/1.45 (* end of lemma zenon_L218_ *)
% 1.28/1.45 assert (zenon_L219_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.45 apply (zenon_L190_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.45 apply (zenon_L117_); trivial.
% 1.28/1.45 exact (zenon_H55 zenon_H56).
% 1.28/1.45 (* end of lemma zenon_L219_ *)
% 1.28/1.45 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H11e zenon_H54 zenon_H127 zenon_H125 zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H1c0 zenon_H1be zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_He6 zenon_He4 zenon_H5 zenon_H1c4 zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.45 apply (zenon_L218_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_L26_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.45 apply (zenon_L219_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.45 apply (zenon_L74_); trivial.
% 1.28/1.45 exact (zenon_H5 zenon_H6).
% 1.28/1.45 apply (zenon_L208_); trivial.
% 1.28/1.45 (* end of lemma zenon_L220_ *)
% 1.28/1.45 assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He6 zenon_He4 zenon_H5 zenon_H1c4 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1ae zenon_Haa zenon_H57 zenon_H59 zenon_H10b zenon_H3c zenon_H40 zenon_H133 zenon_H11e zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.45 apply (zenon_L216_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.45 apply (zenon_L214_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L155_); trivial.
% 1.28/1.45 apply (zenon_L220_); trivial.
% 1.28/1.45 (* end of lemma zenon_L221_ *)
% 1.28/1.45 assert (zenon_L222_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H1cb zenon_H1cc zenon_H1cd.
% 1.28/1.45 generalize (zenon_Hf6 (a809)). zenon_intro zenon_H1ce.
% 1.28/1.45 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cf ].
% 1.28/1.45 exact (zenon_H11 zenon_H12).
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ].
% 1.28/1.45 exact (zenon_H1cb zenon_H1d1).
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ].
% 1.28/1.45 exact (zenon_H1d3 zenon_H1cc).
% 1.28/1.45 exact (zenon_H1d2 zenon_H1cd).
% 1.28/1.45 (* end of lemma zenon_L222_ *)
% 1.28/1.45 assert (zenon_L223_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.28/1.45 apply (zenon_L222_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.28/1.45 apply (zenon_L127_); trivial.
% 1.28/1.45 exact (zenon_H153 zenon_H154).
% 1.28/1.45 (* end of lemma zenon_L223_ *)
% 1.28/1.45 assert (zenon_L224_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp4)) -> (~(hskp8)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1d4 zenon_H153 zenon_H12 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_H1 zenon_H55.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1d5 ].
% 1.28/1.45 apply (zenon_L223_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H2 | zenon_intro zenon_H56 ].
% 1.28/1.45 exact (zenon_H1 zenon_H2).
% 1.28/1.45 exact (zenon_H55 zenon_H56).
% 1.28/1.45 (* end of lemma zenon_L224_ *)
% 1.28/1.45 assert (zenon_L225_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1d6 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H161.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ].
% 1.28/1.45 apply (zenon_L222_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ].
% 1.28/1.45 apply (zenon_L127_); trivial.
% 1.28/1.45 exact (zenon_H161 zenon_H162).
% 1.28/1.45 (* end of lemma zenon_L225_ *)
% 1.28/1.45 assert (zenon_L226_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp14)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp4)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H102 zenon_H161 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d6 zenon_H1.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.28/1.45 apply (zenon_L225_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.28/1.45 apply (zenon_L87_); trivial.
% 1.28/1.45 exact (zenon_H1 zenon_H2).
% 1.28/1.45 (* end of lemma zenon_L226_ *)
% 1.28/1.45 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H86 zenon_H185 zenon_H124 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H57 zenon_H59 zenon_H163 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108 zenon_H1d6 zenon_H102 zenon_H138 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.45 apply (zenon_L224_); trivial.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.45 apply (zenon_L150_); trivial.
% 1.28/1.45 apply (zenon_L226_); trivial.
% 1.28/1.45 apply (zenon_L156_); trivial.
% 1.28/1.45 (* end of lemma zenon_L227_ *)
% 1.28/1.45 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H29 zenon_H163 zenon_H161 zenon_H3.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ].
% 1.28/1.45 apply (zenon_L11_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ].
% 1.28/1.45 exact (zenon_H161 zenon_H162).
% 1.28/1.45 exact (zenon_H3 zenon_H4).
% 1.28/1.45 (* end of lemma zenon_L228_ *)
% 1.28/1.45 assert (zenon_L229_ : (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1dc zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.28/1.45 generalize (zenon_H1dc (a806)). zenon_intro zenon_H1de.
% 1.28/1.45 apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H11 | zenon_intro zenon_H1df ].
% 1.28/1.45 exact (zenon_H11 zenon_H12).
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1e0 ].
% 1.28/1.45 exact (zenon_H1ad zenon_H1b6).
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1b8 ].
% 1.28/1.45 exact (zenon_H1e1 zenon_H1dd).
% 1.28/1.45 exact (zenon_H1b8 zenon_H1ae).
% 1.28/1.45 (* end of lemma zenon_L229_ *)
% 1.28/1.45 assert (zenon_L230_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.28/1.45 apply (zenon_L161_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.28/1.45 apply (zenon_L181_); trivial.
% 1.28/1.45 apply (zenon_L229_); trivial.
% 1.28/1.45 (* end of lemma zenon_L230_ *)
% 1.28/1.45 assert (zenon_L231_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H161 zenon_H3 zenon_H163 zenon_H2e.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.28/1.45 apply (zenon_L8_); trivial.
% 1.28/1.45 apply (zenon_L228_); trivial.
% 1.28/1.45 apply (zenon_L230_); trivial.
% 1.28/1.45 (* end of lemma zenon_L231_ *)
% 1.28/1.45 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H101 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.28/1.45 apply (zenon_L161_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.28/1.45 apply (zenon_L48_); trivial.
% 1.28/1.45 apply (zenon_L229_); trivial.
% 1.28/1.45 (* end of lemma zenon_L232_ *)
% 1.28/1.45 assert (zenon_L233_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H161 zenon_H163 zenon_H2e zenon_H3c zenon_H2a zenon_H8c zenon_H8a zenon_H54 zenon_Hef.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.45 apply (zenon_L231_); trivial.
% 1.28/1.45 apply (zenon_L140_); trivial.
% 1.28/1.45 apply (zenon_L232_); trivial.
% 1.28/1.45 (* end of lemma zenon_L233_ *)
% 1.28/1.45 assert (zenon_L234_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H1e4 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H153 zenon_H86.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e5 ].
% 1.28/1.45 apply (zenon_L64_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H154 | zenon_intro zenon_H87 ].
% 1.28/1.45 exact (zenon_H153 zenon_H154).
% 1.28/1.45 exact (zenon_H86 zenon_H87).
% 1.28/1.45 (* end of lemma zenon_L234_ *)
% 1.28/1.45 assert (zenon_L235_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H153 zenon_H1e4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.28/1.45 apply (zenon_L161_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.28/1.45 apply (zenon_L234_); trivial.
% 1.28/1.45 apply (zenon_L229_); trivial.
% 1.28/1.45 (* end of lemma zenon_L235_ *)
% 1.28/1.45 assert (zenon_L236_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.45 apply (zenon_L233_); trivial.
% 1.28/1.45 apply (zenon_L235_); trivial.
% 1.28/1.45 (* end of lemma zenon_L236_ *)
% 1.28/1.45 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp22)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> False).
% 1.28/1.45 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H27 zenon_H111 zenon_H110 zenon_H112 zenon_H2a.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.28/1.45 apply (zenon_L161_); trivial.
% 1.28/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ].
% 1.28/1.46 apply (zenon_L10_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ].
% 1.28/1.46 apply (zenon_L162_); trivial.
% 1.28/1.46 exact (zenon_H27 zenon_H28).
% 1.28/1.46 apply (zenon_L10_); trivial.
% 1.28/1.46 (* end of lemma zenon_L237_ *)
% 1.28/1.46 assert (zenon_L238_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H111 zenon_H110 zenon_H112 zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.46 apply (zenon_L4_); trivial.
% 1.28/1.46 apply (zenon_L237_); trivial.
% 1.28/1.46 (* end of lemma zenon_L238_ *)
% 1.28/1.46 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H121 zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H7 zenon_H5 zenon_H1 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.46 apply (zenon_L238_); trivial.
% 1.28/1.46 apply (zenon_L232_); trivial.
% 1.28/1.46 (* end of lemma zenon_L239_ *)
% 1.28/1.46 assert (zenon_L240_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_L96_); trivial.
% 1.28/1.46 apply (zenon_L239_); trivial.
% 1.28/1.46 (* end of lemma zenon_L240_ *)
% 1.28/1.46 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L155_); trivial.
% 1.28/1.46 apply (zenon_L235_); trivial.
% 1.28/1.46 (* end of lemma zenon_L241_ *)
% 1.28/1.46 assert (zenon_L242_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_Hf zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H10b zenon_H50 zenon_H1a2 zenon_H5 zenon_H7 zenon_H11e zenon_H138 zenon_H16e zenon_He4 zenon_Haa zenon_H1d9.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L236_); trivial.
% 1.28/1.46 apply (zenon_L240_); trivial.
% 1.28/1.46 apply (zenon_L241_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L233_); trivial.
% 1.28/1.46 apply (zenon_L149_); trivial.
% 1.28/1.46 apply (zenon_L240_); trivial.
% 1.28/1.46 apply (zenon_L156_); trivial.
% 1.28/1.46 apply (zenon_L171_); trivial.
% 1.28/1.46 (* end of lemma zenon_L242_ *)
% 1.28/1.46 assert (zenon_L243_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb.
% 1.28/1.46 generalize (zenon_Hc3 (a805)). zenon_intro zenon_H1ec.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ed ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ].
% 1.28/1.46 exact (zenon_H1e9 zenon_H1ef).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ].
% 1.28/1.46 exact (zenon_H1ea zenon_H1f1).
% 1.28/1.46 exact (zenon_H1f0 zenon_H1eb).
% 1.28/1.46 (* end of lemma zenon_L243_ *)
% 1.28/1.46 assert (zenon_L244_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1e4 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H12 zenon_H153 zenon_H86.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e5 ].
% 1.28/1.46 apply (zenon_L243_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H154 | zenon_intro zenon_H87 ].
% 1.28/1.46 exact (zenon_H153 zenon_H154).
% 1.28/1.46 exact (zenon_H86 zenon_H87).
% 1.28/1.46 (* end of lemma zenon_L244_ *)
% 1.28/1.46 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H18c zenon_H16e zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.28/1.46 apply (zenon_L136_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.28/1.46 apply (zenon_L243_); trivial.
% 1.28/1.46 exact (zenon_He4 zenon_He5).
% 1.28/1.46 (* end of lemma zenon_L245_ *)
% 1.28/1.46 assert (zenon_L246_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H86 zenon_H1e4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.46 apply (zenon_L244_); trivial.
% 1.28/1.46 apply (zenon_L245_); trivial.
% 1.28/1.46 (* end of lemma zenon_L246_ *)
% 1.28/1.46 assert (zenon_L247_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.46 apply (zenon_L4_); trivial.
% 1.28/1.46 apply (zenon_L140_); trivial.
% 1.28/1.46 (* end of lemma zenon_L247_ *)
% 1.28/1.46 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hbf zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.46 apply (zenon_L48_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.46 apply (zenon_L67_); trivial.
% 1.28/1.46 exact (zenon_H55 zenon_H56).
% 1.28/1.46 (* end of lemma zenon_L248_ *)
% 1.28/1.46 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_H55 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.46 apply (zenon_L58_); trivial.
% 1.28/1.46 apply (zenon_L248_); trivial.
% 1.28/1.46 (* end of lemma zenon_L249_ *)
% 1.28/1.46 assert (zenon_L250_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H90 zenon_H8f zenon_H8e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.46 apply (zenon_L63_); trivial.
% 1.28/1.46 apply (zenon_L249_); trivial.
% 1.28/1.46 (* end of lemma zenon_L250_ *)
% 1.28/1.46 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H101 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.46 apply (zenon_L122_); trivial.
% 1.28/1.46 apply (zenon_L250_); trivial.
% 1.28/1.46 (* end of lemma zenon_L251_ *)
% 1.28/1.46 assert (zenon_L252_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.46 apply (zenon_L122_); trivial.
% 1.28/1.46 apply (zenon_L70_); trivial.
% 1.28/1.46 (* end of lemma zenon_L252_ *)
% 1.28/1.46 assert (zenon_L253_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.46 apply (zenon_L247_); trivial.
% 1.28/1.46 apply (zenon_L251_); trivial.
% 1.28/1.46 apply (zenon_L252_); trivial.
% 1.28/1.46 (* end of lemma zenon_L253_ *)
% 1.28/1.46 assert (zenon_L254_ : ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp20)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1f2 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hb2 zenon_H8a.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f3 ].
% 1.28/1.46 apply (zenon_L97_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H8b ].
% 1.28/1.46 exact (zenon_Hb2 zenon_Hb3).
% 1.28/1.46 exact (zenon_H8a zenon_H8b).
% 1.28/1.46 (* end of lemma zenon_L254_ *)
% 1.28/1.46 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp20)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H121 zenon_H1f2 zenon_Hb2 zenon_H8a.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.46 apply (zenon_L254_); trivial.
% 1.28/1.46 (* end of lemma zenon_L255_ *)
% 1.28/1.46 assert (zenon_L256_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_L96_); trivial.
% 1.28/1.46 apply (zenon_L255_); trivial.
% 1.28/1.46 (* end of lemma zenon_L256_ *)
% 1.28/1.46 assert (zenon_L257_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1d zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.28/1.46 generalize (zenon_H1d (a803)). zenon_intro zenon_H1f7.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ].
% 1.28/1.46 generalize (zenon_H97 (a803)). zenon_intro zenon_H1fb.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fc ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ].
% 1.28/1.46 exact (zenon_H1fa zenon_H1fe).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ].
% 1.28/1.46 exact (zenon_H1f4 zenon_H200).
% 1.28/1.46 exact (zenon_H1ff zenon_H1f5).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ].
% 1.28/1.46 exact (zenon_H201 zenon_H1f6).
% 1.28/1.46 exact (zenon_H1ff zenon_H1f5).
% 1.28/1.46 (* end of lemma zenon_L257_ *)
% 1.28/1.46 assert (zenon_L258_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.46 apply (zenon_L28_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.46 apply (zenon_L59_); trivial.
% 1.28/1.46 apply (zenon_L257_); trivial.
% 1.28/1.46 (* end of lemma zenon_L258_ *)
% 1.28/1.46 assert (zenon_L259_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H71 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.28/1.46 apply (zenon_L258_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.28/1.46 apply (zenon_L84_); trivial.
% 1.28/1.46 apply (zenon_L86_); trivial.
% 1.28/1.46 (* end of lemma zenon_L259_ *)
% 1.28/1.46 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_He6 zenon_H5 zenon_H1c4 zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.46 apply (zenon_L122_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.46 apply (zenon_L58_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.46 apply (zenon_L259_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.46 apply (zenon_L74_); trivial.
% 1.28/1.46 exact (zenon_H5 zenon_H6).
% 1.28/1.46 apply (zenon_L69_); trivial.
% 1.28/1.46 (* end of lemma zenon_L260_ *)
% 1.28/1.46 assert (zenon_L261_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H202 zenon_H12c zenon_H12b zenon_H12a zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb2 zenon_Hb4.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.46 apply (zenon_L58_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ].
% 1.28/1.46 apply (zenon_L258_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ].
% 1.28/1.46 apply (zenon_L108_); trivial.
% 1.28/1.46 exact (zenon_Hb2 zenon_Hb3).
% 1.28/1.46 (* end of lemma zenon_L261_ *)
% 1.28/1.46 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.46 apply (zenon_L122_); trivial.
% 1.28/1.46 apply (zenon_L261_); trivial.
% 1.28/1.46 (* end of lemma zenon_L262_ *)
% 1.28/1.46 assert (zenon_L263_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H11e zenon_H1f2 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H102 zenon_H1c4 zenon_He6 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_He8 zenon_H103 zenon_H138.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L253_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L256_); trivial.
% 1.28/1.46 apply (zenon_L260_); trivial.
% 1.28/1.46 apply (zenon_L262_); trivial.
% 1.28/1.46 (* end of lemma zenon_L263_ *)
% 1.28/1.46 assert (zenon_L264_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H18b zenon_H59 zenon_H57 zenon_H138 zenon_H103 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_He6 zenon_H1c4 zenon_H102 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H1f2 zenon_H11e zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_Hd4 zenon_H124 zenon_H202 zenon_H1ca.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.46 apply (zenon_L263_); trivial.
% 1.28/1.46 apply (zenon_L153_); trivial.
% 1.28/1.46 (* end of lemma zenon_L264_ *)
% 1.28/1.46 assert (zenon_L265_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H138 zenon_H102 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H57 zenon_H59 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L253_); trivial.
% 1.28/1.46 apply (zenon_L135_); trivial.
% 1.28/1.46 (* end of lemma zenon_L265_ *)
% 1.28/1.46 assert (zenon_L266_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp1)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H84 zenon_H86.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H1d | zenon_intro zenon_H89 ].
% 1.28/1.46 apply (zenon_L257_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H85 | zenon_intro zenon_H87 ].
% 1.28/1.46 exact (zenon_H84 zenon_H85).
% 1.28/1.46 exact (zenon_H86 zenon_H87).
% 1.28/1.46 (* end of lemma zenon_L266_ *)
% 1.28/1.46 assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Had zenon_Haa zenon_He4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H159 zenon_H15a zenon_H16e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.46 apply (zenon_L145_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.46 apply (zenon_L146_); trivial.
% 1.28/1.46 apply (zenon_L52_); trivial.
% 1.28/1.46 (* end of lemma zenon_L267_ *)
% 1.28/1.46 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11d zenon_Hac zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_Haa.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.46 apply (zenon_L266_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.46 apply (zenon_L146_); trivial.
% 1.28/1.46 apply (zenon_L148_); trivial.
% 1.28/1.46 apply (zenon_L267_); trivial.
% 1.28/1.46 (* end of lemma zenon_L268_ *)
% 1.28/1.46 assert (zenon_L269_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hac zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L143_); trivial.
% 1.28/1.46 apply (zenon_L268_); trivial.
% 1.28/1.46 (* end of lemma zenon_L269_ *)
% 1.28/1.46 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_Hac zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_Haa zenon_H86 zenon_H185.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L155_); trivial.
% 1.28/1.46 apply (zenon_L268_); trivial.
% 1.28/1.46 (* end of lemma zenon_L270_ *)
% 1.28/1.46 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hac zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L269_); trivial.
% 1.28/1.46 apply (zenon_L152_); trivial.
% 1.28/1.46 apply (zenon_L153_); trivial.
% 1.28/1.46 apply (zenon_L270_); trivial.
% 1.28/1.46 (* end of lemma zenon_L271_ *)
% 1.28/1.46 assert (zenon_L272_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H39 zenon_H109 zenon_H10b.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.46 apply (zenon_L91_); trivial.
% 1.28/1.46 apply (zenon_L118_); trivial.
% 1.28/1.46 (* end of lemma zenon_L272_ *)
% 1.28/1.46 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H109 zenon_H2a zenon_H27 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.46 apply (zenon_L272_); trivial.
% 1.28/1.46 apply (zenon_L77_); trivial.
% 1.28/1.46 (* end of lemma zenon_L273_ *)
% 1.28/1.46 assert (zenon_L274_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H109 zenon_H2a zenon_H27 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.46 apply (zenon_L4_); trivial.
% 1.28/1.46 apply (zenon_L273_); trivial.
% 1.28/1.46 (* end of lemma zenon_L274_ *)
% 1.28/1.46 assert (zenon_L275_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hb2 zenon_Hef zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.46 apply (zenon_L274_); trivial.
% 1.28/1.46 apply (zenon_L120_); trivial.
% 1.28/1.46 apply (zenon_L255_); trivial.
% 1.28/1.46 (* end of lemma zenon_L275_ *)
% 1.28/1.46 assert (zenon_L276_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H10b zenon_H8c zenon_H2e zenon_H54 zenon_Hef zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L275_); trivial.
% 1.28/1.46 apply (zenon_L215_); trivial.
% 1.28/1.46 (* end of lemma zenon_L276_ *)
% 1.28/1.46 assert (zenon_L277_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H80 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_He4 zenon_H142 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_Hd4 zenon_H124.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.46 apply (zenon_L276_); trivial.
% 1.28/1.46 apply (zenon_L262_); trivial.
% 1.28/1.46 (* end of lemma zenon_L277_ *)
% 1.28/1.46 assert (zenon_L278_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H1ca zenon_H202 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H11e zenon_H1f2 zenon_H50 zenon_H10b zenon_H10d zenon_H102 zenon_H1c4 zenon_He6 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_H103 zenon_H138 zenon_H18b.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.46 apply (zenon_L263_); trivial.
% 1.28/1.46 apply (zenon_L277_); trivial.
% 1.28/1.46 apply (zenon_L171_); trivial.
% 1.28/1.46 (* end of lemma zenon_L278_ *)
% 1.28/1.46 assert (zenon_L279_ : (forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H204 zenon_H12 zenon_H1f4 zenon_H1f6 zenon_H1f5.
% 1.28/1.46 generalize (zenon_H204 (a803)). zenon_intro zenon_H205.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H200 | zenon_intro zenon_H1f9 ].
% 1.28/1.46 exact (zenon_H1f4 zenon_H200).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ].
% 1.28/1.46 exact (zenon_H201 zenon_H1f6).
% 1.28/1.46 exact (zenon_H1ff zenon_H1f5).
% 1.28/1.46 (* end of lemma zenon_L279_ *)
% 1.28/1.46 assert (zenon_L280_ : (~(hskp6)) -> (hskp6) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H207 zenon_H208.
% 1.28/1.46 exact (zenon_H207 zenon_H208).
% 1.28/1.46 (* end of lemma zenon_L280_ *)
% 1.28/1.46 assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H81 zenon_H209 zenon_H4d zenon_H109 zenon_H10d zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.28/1.46 apply (zenon_L94_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.28/1.46 apply (zenon_L279_); trivial.
% 1.28/1.46 exact (zenon_H207 zenon_H208).
% 1.28/1.46 (* end of lemma zenon_L281_ *)
% 1.28/1.46 assert (zenon_L282_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.46 apply (zenon_L55_); trivial.
% 1.28/1.46 apply (zenon_L281_); trivial.
% 1.28/1.46 (* end of lemma zenon_L282_ *)
% 1.28/1.46 assert (zenon_L283_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_L282_); trivial.
% 1.28/1.46 apply (zenon_L112_); trivial.
% 1.28/1.46 (* end of lemma zenon_L283_ *)
% 1.28/1.46 assert (zenon_L284_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108 zenon_H133 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H1ca.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.46 apply (zenon_L178_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L283_); trivial.
% 1.28/1.46 apply (zenon_L114_); trivial.
% 1.28/1.46 apply (zenon_L153_); trivial.
% 1.28/1.46 (* end of lemma zenon_L284_ *)
% 1.28/1.46 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H101 zenon_H54 zenon_H2e zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.46 apply (zenon_L27_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.46 apply (zenon_L26_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.28/1.46 apply (zenon_L46_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.28/1.46 apply (zenon_L201_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.28/1.46 apply (zenon_L279_); trivial.
% 1.28/1.46 exact (zenon_H207 zenon_H208).
% 1.28/1.46 (* end of lemma zenon_L285_ *)
% 1.28/1.46 assert (zenon_L286_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H1be.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.28/1.46 apply (zenon_L144_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.28/1.46 apply (zenon_L257_); trivial.
% 1.28/1.46 exact (zenon_H1be zenon_H1bf).
% 1.28/1.46 (* end of lemma zenon_L286_ *)
% 1.28/1.46 assert (zenon_L287_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.46 apply (zenon_L286_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.46 apply (zenon_L190_); trivial.
% 1.28/1.46 apply (zenon_L192_); trivial.
% 1.28/1.46 (* end of lemma zenon_L287_ *)
% 1.28/1.46 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H40 zenon_H209 zenon_H207 zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.46 apply (zenon_L26_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.28/1.46 apply (zenon_L287_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.28/1.46 apply (zenon_L279_); trivial.
% 1.28/1.46 exact (zenon_H207 zenon_H208).
% 1.28/1.46 (* end of lemma zenon_L288_ *)
% 1.28/1.46 assert (zenon_L289_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H108.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.46 apply (zenon_L185_); trivial.
% 1.28/1.46 apply (zenon_L285_); trivial.
% 1.28/1.46 apply (zenon_L288_); trivial.
% 1.28/1.46 (* end of lemma zenon_L289_ *)
% 1.28/1.46 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_H40 zenon_H209 zenon_H207 zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H86 zenon_H185.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L155_); trivial.
% 1.28/1.46 apply (zenon_L288_); trivial.
% 1.28/1.46 (* end of lemma zenon_L290_ *)
% 1.28/1.46 assert (zenon_L291_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H102 zenon_H1d4 zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_He6 zenon_He4 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H1c2 zenon_H1c4 zenon_H108 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H71 zenon_H155 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Haa zenon_H54 zenon_H7e zenon_H8c zenon_H163 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef zenon_H124 zenon_H18b zenon_Hac zenon_H88 zenon_H165 zenon_H16f zenon_H16e zenon_H1d9.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L289_); trivial.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L203_); trivial.
% 1.28/1.46 apply (zenon_L288_); trivial.
% 1.28/1.46 apply (zenon_L153_); trivial.
% 1.28/1.46 apply (zenon_L290_); trivial.
% 1.28/1.46 apply (zenon_L271_); trivial.
% 1.28/1.46 apply (zenon_L227_); trivial.
% 1.28/1.46 (* end of lemma zenon_L291_ *)
% 1.28/1.46 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H16e zenon_He4 zenon_H86 zenon_H1e4.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.28/1.46 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.28/1.46 apply (zenon_L246_); trivial.
% 1.28/1.46 (* end of lemma zenon_L292_ *)
% 1.28/1.46 assert (zenon_L293_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_L160_); trivial.
% 1.28/1.46 apply (zenon_L255_); trivial.
% 1.28/1.46 (* end of lemma zenon_L293_ *)
% 1.28/1.46 assert (zenon_L294_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H3c zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.46 apply (zenon_L293_); trivial.
% 1.28/1.46 apply (zenon_L252_); trivial.
% 1.28/1.46 (* end of lemma zenon_L294_ *)
% 1.28/1.46 assert (zenon_L295_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_He8 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.46 apply (zenon_L294_); trivial.
% 1.28/1.46 apply (zenon_L177_); trivial.
% 1.28/1.46 (* end of lemma zenon_L295_ *)
% 1.28/1.46 assert (zenon_L296_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H7e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.46 apply (zenon_L160_); trivial.
% 1.28/1.46 apply (zenon_L112_); trivial.
% 1.28/1.46 (* end of lemma zenon_L296_ *)
% 1.28/1.46 assert (zenon_L297_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a802))) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (c2_1 (a802)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_Hd8 zenon_H12 zenon_H20f zenon_H5b zenon_H210.
% 1.28/1.46 generalize (zenon_Hd8 (a802)). zenon_intro zenon_H211.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H11 | zenon_intro zenon_H212 ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H214 | zenon_intro zenon_H213 ].
% 1.28/1.46 exact (zenon_H20f zenon_H214).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ].
% 1.28/1.46 generalize (zenon_H5b (a802)). zenon_intro zenon_H217.
% 1.28/1.46 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H11 | zenon_intro zenon_H218 ].
% 1.28/1.46 exact (zenon_H11 zenon_H12).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H214 | zenon_intro zenon_H219 ].
% 1.28/1.46 exact (zenon_H20f zenon_H214).
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H215 | zenon_intro zenon_H21a ].
% 1.28/1.46 exact (zenon_H215 zenon_H210).
% 1.28/1.46 exact (zenon_H21a zenon_H216).
% 1.28/1.46 exact (zenon_H215 zenon_H210).
% 1.28/1.46 (* end of lemma zenon_L297_ *)
% 1.28/1.46 assert (zenon_L298_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.28/1.46 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.46 apply (zenon_L297_); trivial.
% 1.28/1.46 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.46 apply (zenon_L34_); trivial.
% 1.28/1.46 apply (zenon_L35_); trivial.
% 1.28/1.46 (* end of lemma zenon_L298_ *)
% 1.28/1.46 assert (zenon_L299_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H7e zenon_H27 zenon_H30 zenon_H32 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.47 apply (zenon_L116_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.47 apply (zenon_L298_); trivial.
% 1.28/1.47 exact (zenon_H55 zenon_H56).
% 1.28/1.47 (* end of lemma zenon_L299_ *)
% 1.28/1.47 assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H5c zenon_H5e zenon_H5d zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L299_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L85_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.47 apply (zenon_L299_); trivial.
% 1.28/1.47 exact (zenon_H5 zenon_H6).
% 1.28/1.47 (* end of lemma zenon_L300_ *)
% 1.28/1.47 assert (zenon_L301_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H27 zenon_H2a zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.47 apply (zenon_L4_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.47 apply (zenon_L80_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L76_); trivial.
% 1.28/1.47 apply (zenon_L300_); trivial.
% 1.28/1.47 (* end of lemma zenon_L301_ *)
% 1.28/1.47 assert (zenon_L302_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H12 zenon_H65 zenon_H30 zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.47 apply (zenon_L297_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.47 apply (zenon_L30_); trivial.
% 1.28/1.47 apply (zenon_L31_); trivial.
% 1.28/1.47 (* end of lemma zenon_L302_ *)
% 1.28/1.47 assert (zenon_L303_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.28/1.47 apply (zenon_L302_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.28/1.47 apply (zenon_L81_); trivial.
% 1.28/1.47 exact (zenon_H55 zenon_H56).
% 1.28/1.47 (* end of lemma zenon_L303_ *)
% 1.28/1.47 assert (zenon_L304_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H97 zenon_H12 zenon_H8e zenon_H2f zenon_H8f zenon_H90.
% 1.28/1.47 generalize (zenon_H97 (a840)). zenon_intro zenon_H9c.
% 1.28/1.47 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ].
% 1.28/1.47 exact (zenon_H11 zenon_H12).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ].
% 1.28/1.47 exact (zenon_H8e zenon_H94).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H95 ].
% 1.28/1.47 generalize (zenon_H2f (a840)). zenon_intro zenon_H21b.
% 1.28/1.47 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H11 | zenon_intro zenon_H21c ].
% 1.28/1.47 exact (zenon_H11 zenon_H12).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H96 | zenon_intro zenon_H9a ].
% 1.28/1.47 exact (zenon_H96 zenon_H8f).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9b | zenon_intro zenon_H95 ].
% 1.28/1.47 exact (zenon_H9b zenon_H9f).
% 1.28/1.47 exact (zenon_H95 zenon_H90).
% 1.28/1.47 exact (zenon_H95 zenon_H90).
% 1.28/1.47 (* end of lemma zenon_L304_ *)
% 1.28/1.47 assert (zenon_L305_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(hskp15)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hea zenon_H55 zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H97 zenon_He8.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L303_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L304_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L305_ *)
% 1.28/1.47 assert (zenon_L306_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H6b zenon_H30 zenon_H31.
% 1.28/1.47 generalize (zenon_Hf6 (a797)). zenon_intro zenon_H144.
% 1.28/1.47 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_H11 | zenon_intro zenon_H145 ].
% 1.28/1.47 exact (zenon_H11 zenon_H12).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ].
% 1.28/1.47 generalize (zenon_H6b (a797)). zenon_intro zenon_H6c.
% 1.28/1.47 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H11 | zenon_intro zenon_H6d ].
% 1.28/1.47 exact (zenon_H11 zenon_H12).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H6e ].
% 1.28/1.47 exact (zenon_H66 zenon_H6a).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ].
% 1.28/1.47 exact (zenon_H36 zenon_H30).
% 1.28/1.47 exact (zenon_H38 zenon_H31).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ].
% 1.28/1.47 exact (zenon_H36 zenon_H30).
% 1.28/1.47 exact (zenon_H38 zenon_H31).
% 1.28/1.47 (* end of lemma zenon_L306_ *)
% 1.28/1.47 assert (zenon_L307_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.47 apply (zenon_L297_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.47 apply (zenon_L306_); trivial.
% 1.28/1.47 apply (zenon_L124_); trivial.
% 1.28/1.47 (* end of lemma zenon_L307_ *)
% 1.28/1.47 assert (zenon_L308_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H103 zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_H32 zenon_H31 zenon_H30 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.28/1.47 apply (zenon_L303_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.28/1.47 apply (zenon_L307_); trivial.
% 1.28/1.47 apply (zenon_L72_); trivial.
% 1.28/1.47 (* end of lemma zenon_L308_ *)
% 1.28/1.47 assert (zenon_L309_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H21d zenon_H1be zenon_H103 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H7 zenon_H5 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.47 apply (zenon_L96_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_L301_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L76_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L109_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.28/1.47 apply (zenon_L305_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.28/1.47 apply (zenon_L308_); trivial.
% 1.28/1.47 exact (zenon_H1be zenon_H1bf).
% 1.28/1.47 (* end of lemma zenon_L309_ *)
% 1.28/1.47 assert (zenon_L310_ : (~(hskp18)) -> (hskp18) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H21f zenon_H220.
% 1.28/1.47 exact (zenon_H21f zenon_H220).
% 1.28/1.47 (* end of lemma zenon_L310_ *)
% 1.28/1.47 assert (zenon_L311_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> (~(hskp18)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H221 zenon_H32 zenon_H30 zenon_H12 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H161 zenon_H21f.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H65 | zenon_intro zenon_H222 ].
% 1.28/1.47 apply (zenon_L302_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ].
% 1.28/1.47 exact (zenon_H161 zenon_H162).
% 1.28/1.47 exact (zenon_H21f zenon_H220).
% 1.28/1.47 (* end of lemma zenon_L311_ *)
% 1.28/1.47 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp14)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H16f zenon_H21f zenon_H71 zenon_H210 zenon_H20f zenon_H221 zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H161.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.28/1.47 apply (zenon_L311_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.28/1.47 apply (zenon_L116_); trivial.
% 1.28/1.47 exact (zenon_H161 zenon_H162).
% 1.28/1.47 (* end of lemma zenon_L312_ *)
% 1.28/1.47 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hec zenon_H40 zenon_H16f zenon_H27 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_L312_); trivial.
% 1.28/1.47 (* end of lemma zenon_L313_ *)
% 1.28/1.47 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H101 zenon_H40 zenon_H16f zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.28/1.47 apply (zenon_L311_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.28/1.47 apply (zenon_L48_); trivial.
% 1.28/1.47 exact (zenon_H161 zenon_H162).
% 1.28/1.47 (* end of lemma zenon_L314_ *)
% 1.28/1.47 assert (zenon_L315_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp18)) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H21f zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.47 apply (zenon_L4_); trivial.
% 1.28/1.47 apply (zenon_L313_); trivial.
% 1.28/1.47 apply (zenon_L314_); trivial.
% 1.28/1.47 (* end of lemma zenon_L315_ *)
% 1.28/1.47 assert (zenon_L316_ : (forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H223 zenon_H12 zenon_H224 zenon_H225 zenon_H226.
% 1.28/1.47 generalize (zenon_H223 (a828)). zenon_intro zenon_H227.
% 1.28/1.47 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H11 | zenon_intro zenon_H228 ].
% 1.28/1.47 exact (zenon_H11 zenon_H12).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ].
% 1.28/1.47 exact (zenon_H224 zenon_H22a).
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ].
% 1.28/1.47 exact (zenon_H225 zenon_H22c).
% 1.28/1.47 exact (zenon_H226 zenon_H22b).
% 1.28/1.47 (* end of lemma zenon_L316_ *)
% 1.28/1.47 assert (zenon_L317_ : (~(hskp2)) -> (hskp2) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H22d zenon_H22e.
% 1.28/1.47 exact (zenon_H22d zenon_H22e).
% 1.28/1.47 (* end of lemma zenon_L317_ *)
% 1.28/1.47 assert (zenon_L318_ : ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c3_1 (a828))) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp2)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H22f zenon_H226 zenon_H225 zenon_H224 zenon_H12 zenon_H8a zenon_H22d.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H223 | zenon_intro zenon_H230 ].
% 1.28/1.47 apply (zenon_L316_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H8b | zenon_intro zenon_H22e ].
% 1.28/1.47 exact (zenon_H8a zenon_H8b).
% 1.28/1.47 exact (zenon_H22d zenon_H22e).
% 1.28/1.47 (* end of lemma zenon_L318_ *)
% 1.28/1.47 assert (zenon_L319_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.28/1.47 apply (zenon_L222_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.28/1.47 apply (zenon_L144_); trivial.
% 1.28/1.47 apply (zenon_L108_); trivial.
% 1.28/1.47 (* end of lemma zenon_L319_ *)
% 1.28/1.47 assert (zenon_L320_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L72_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L15_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L320_ *)
% 1.28/1.47 assert (zenon_L321_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H103 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hea zenon_Hd9 zenon_Hd7 zenon_He8.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.28/1.47 apply (zenon_L319_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.28/1.47 apply (zenon_L222_); trivial.
% 1.28/1.47 apply (zenon_L320_); trivial.
% 1.28/1.47 (* end of lemma zenon_L321_ *)
% 1.28/1.47 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_L321_); trivial.
% 1.28/1.47 (* end of lemma zenon_L322_ *)
% 1.28/1.47 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H103 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.47 apply (zenon_L318_); trivial.
% 1.28/1.47 apply (zenon_L322_); trivial.
% 1.28/1.47 (* end of lemma zenon_L323_ *)
% 1.28/1.47 assert (zenon_L324_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L44_); trivial.
% 1.28/1.47 apply (zenon_L110_); trivial.
% 1.28/1.47 (* end of lemma zenon_L324_ *)
% 1.28/1.47 assert (zenon_L325_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_Hb0.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17b | zenon_intro zenon_H234 ].
% 1.28/1.47 apply (zenon_L154_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb1 ].
% 1.28/1.47 apply (zenon_L64_); trivial.
% 1.28/1.47 exact (zenon_Hb0 zenon_Hb1).
% 1.28/1.47 (* end of lemma zenon_L325_ *)
% 1.28/1.47 assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Had zenon_H80 zenon_Hc2 zenon_H7e zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.47 apply (zenon_L55_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L27_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.47 apply (zenon_L82_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.47 apply (zenon_L325_); trivial.
% 1.28/1.47 apply (zenon_L52_); trivial.
% 1.28/1.47 apply (zenon_L248_); trivial.
% 1.28/1.47 (* end of lemma zenon_L326_ *)
% 1.28/1.47 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H121 zenon_H108 zenon_Hac zenon_Hc2 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H71 zenon_H7e zenon_H80 zenon_Hef.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_L173_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.47 apply (zenon_L55_); trivial.
% 1.28/1.47 apply (zenon_L324_); trivial.
% 1.28/1.47 apply (zenon_L326_); trivial.
% 1.28/1.47 (* end of lemma zenon_L327_ *)
% 1.28/1.47 assert (zenon_L328_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H124 zenon_H108 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H2a zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_Hef zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.47 apply (zenon_L293_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.28/1.47 apply (zenon_L160_); trivial.
% 1.28/1.47 apply (zenon_L327_); trivial.
% 1.28/1.47 (* end of lemma zenon_L328_ *)
% 1.28/1.47 assert (zenon_L329_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H18b zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H1ca.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.47 apply (zenon_L295_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.47 apply (zenon_L328_); trivial.
% 1.28/1.47 apply (zenon_L114_); trivial.
% 1.28/1.47 apply (zenon_L153_); trivial.
% 1.28/1.47 (* end of lemma zenon_L329_ *)
% 1.28/1.47 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_Hac zenon_H233 zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H1ca.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.47 apply (zenon_L329_); trivial.
% 1.28/1.47 (* end of lemma zenon_L330_ *)
% 1.28/1.47 assert (zenon_L331_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.28/1.47 apply (zenon_L307_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.28/1.47 apply (zenon_L127_); trivial.
% 1.28/1.47 exact (zenon_H153 zenon_H154).
% 1.28/1.47 (* end of lemma zenon_L331_ *)
% 1.28/1.47 assert (zenon_L332_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp7)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_H125.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.28/1.47 apply (zenon_L331_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.28/1.47 apply (zenon_L15_); trivial.
% 1.28/1.47 exact (zenon_H125 zenon_H126).
% 1.28/1.47 (* end of lemma zenon_L332_ *)
% 1.28/1.47 assert (zenon_L333_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L332_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L15_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L333_ *)
% 1.28/1.47 assert (zenon_L334_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp24)) -> (ndr1_0) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H16f zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H155 zenon_H3 zenon_H12 zenon_H30 zenon_H32 zenon_H163 zenon_H161.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.28/1.47 apply (zenon_L331_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.28/1.47 apply (zenon_L181_); trivial.
% 1.28/1.47 exact (zenon_H161 zenon_H162).
% 1.28/1.47 (* end of lemma zenon_L334_ *)
% 1.28/1.47 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H161 zenon_H163 zenon_H3 zenon_H16f zenon_H125 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.47 apply (zenon_L334_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.47 apply (zenon_L332_); trivial.
% 1.28/1.47 exact (zenon_H5 zenon_H6).
% 1.28/1.47 (* end of lemma zenon_L335_ *)
% 1.28/1.47 assert (zenon_L336_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H18b zenon_H108 zenon_H1c4 zenon_H5 zenon_H163 zenon_H161 zenon_H16f zenon_H2a zenon_H7e zenon_Hef zenon_H59 zenon_H57 zenon_H55 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hea zenon_H40.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.47 apply (zenon_L333_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_L335_); trivial.
% 1.28/1.47 apply (zenon_L119_); trivial.
% 1.28/1.47 apply (zenon_L120_); trivial.
% 1.28/1.47 (* end of lemma zenon_L336_ *)
% 1.28/1.47 assert (zenon_L337_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.28/1.47 apply (zenon_L219_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.28/1.47 apply (zenon_L332_); trivial.
% 1.28/1.47 exact (zenon_H5 zenon_H6).
% 1.28/1.47 (* end of lemma zenon_L337_ *)
% 1.28/1.47 assert (zenon_L338_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H18a zenon_H124 zenon_H1be zenon_H1c0 zenon_H86 zenon_H185 zenon_H40 zenon_Hea zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.47 apply (zenon_L336_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.47 apply (zenon_L333_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.47 apply (zenon_L155_); trivial.
% 1.28/1.47 apply (zenon_L337_); trivial.
% 1.28/1.47 (* end of lemma zenon_L338_ *)
% 1.28/1.47 assert (zenon_L339_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H102 zenon_H1d4 zenon_H18a zenon_H124 zenon_H1c0 zenon_H86 zenon_H185 zenon_H40 zenon_Hea zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b zenon_H7 zenon_H1 zenon_Haa zenon_H8c zenon_H2e zenon_Hf zenon_H3c zenon_H165 zenon_H54 zenon_He4 zenon_H16e zenon_He6 zenon_H138 zenon_H1d9.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.47 apply (zenon_L338_); trivial.
% 1.28/1.47 apply (zenon_L158_); trivial.
% 1.28/1.47 apply (zenon_L227_); trivial.
% 1.28/1.47 (* end of lemma zenon_L339_ *)
% 1.28/1.47 assert (zenon_L340_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L27_); trivial.
% 1.28/1.47 apply (zenon_L300_); trivial.
% 1.28/1.47 (* end of lemma zenon_L340_ *)
% 1.28/1.47 assert (zenon_L341_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.47 apply (zenon_L4_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.47 apply (zenon_L23_); trivial.
% 1.28/1.47 apply (zenon_L340_); trivial.
% 1.28/1.47 (* end of lemma zenon_L341_ *)
% 1.28/1.47 assert (zenon_L342_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.47 apply (zenon_L297_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.28/1.47 apply (zenon_L34_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.28/1.47 apply (zenon_L11_); trivial.
% 1.28/1.47 exact (zenon_Hb zenon_Hc).
% 1.28/1.47 apply (zenon_L11_); trivial.
% 1.28/1.47 (* end of lemma zenon_L342_ *)
% 1.28/1.47 assert (zenon_L343_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H44 zenon_H43 zenon_H42 zenon_H71 zenon_Hb zenon_Hd zenon_Hf.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.28/1.47 apply (zenon_L8_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L342_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L198_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L343_ *)
% 1.28/1.47 assert (zenon_L344_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Haa zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.47 apply (zenon_L303_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.47 apply (zenon_L48_); trivial.
% 1.28/1.47 apply (zenon_L175_); trivial.
% 1.28/1.47 (* end of lemma zenon_L344_ *)
% 1.28/1.47 assert (zenon_L345_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(hskp15)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Hea zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_H20f zenon_H210 zenon_H44 zenon_H43 zenon_H42 zenon_H71 zenon_Haa zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H97 zenon_He8.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L344_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L304_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L345_ *)
% 1.28/1.47 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Had zenon_H54 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H153 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H8f zenon_H90 zenon_H8e zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L27_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L343_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.47 apply (zenon_L345_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.47 apply (zenon_L234_); trivial.
% 1.28/1.47 apply (zenon_L52_); trivial.
% 1.28/1.47 (* end of lemma zenon_L346_ *)
% 1.28/1.47 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_L301_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L76_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L26_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.47 apply (zenon_L308_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.47 apply (zenon_L101_); trivial.
% 1.28/1.47 exact (zenon_He8 zenon_He9).
% 1.28/1.47 (* end of lemma zenon_L347_ *)
% 1.28/1.47 assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H124 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.47 apply (zenon_L318_); trivial.
% 1.28/1.47 apply (zenon_L347_); trivial.
% 1.28/1.47 (* end of lemma zenon_L348_ *)
% 1.28/1.47 assert (zenon_L349_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H235 zenon_H138 zenon_H103 zenon_He6 zenon_He4 zenon_H22f zenon_H22d zenon_H80 zenon_H1c4 zenon_H7e zenon_He8 zenon_Hea zenon_H3c zenon_Hf zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H1bc zenon_H88 zenon_H86 zenon_H1e4 zenon_H153 zenon_Hac zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.28/1.47 apply (zenon_L315_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.47 apply (zenon_L318_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_L341_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.47 apply (zenon_L55_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L44_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L343_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.47 apply (zenon_L345_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.47 apply (zenon_L32_); trivial.
% 1.28/1.47 apply (zenon_L175_); trivial.
% 1.28/1.47 apply (zenon_L346_); trivial.
% 1.28/1.47 apply (zenon_L348_); trivial.
% 1.28/1.47 (* end of lemma zenon_L349_ *)
% 1.28/1.47 assert (zenon_L350_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.28/1.47 apply (zenon_L191_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.28/1.47 apply (zenon_L174_); trivial.
% 1.28/1.47 apply (zenon_L108_); trivial.
% 1.28/1.47 (* end of lemma zenon_L350_ *)
% 1.28/1.47 assert (zenon_L351_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.28/1.47 do 0 intro. intros zenon_Haa zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.47 apply (zenon_L303_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.47 apply (zenon_L302_); trivial.
% 1.28/1.47 apply (zenon_L350_); trivial.
% 1.28/1.47 (* end of lemma zenon_L351_ *)
% 1.28/1.47 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H101 zenon_H54 zenon_H21d zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.47 apply (zenon_L27_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.47 apply (zenon_L343_); trivial.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.28/1.47 apply (zenon_L305_); trivial.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.28/1.47 apply (zenon_L351_); trivial.
% 1.28/1.47 exact (zenon_H1be zenon_H1bf).
% 1.28/1.47 (* end of lemma zenon_L352_ *)
% 1.28/1.47 assert (zenon_L353_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H108 zenon_H21d zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H1bc zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.47 apply (zenon_L341_); trivial.
% 1.28/1.47 apply (zenon_L352_); trivial.
% 1.28/1.47 (* end of lemma zenon_L353_ *)
% 1.28/1.47 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.47 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H103 zenon_H133 zenon_He6 zenon_He4 zenon_H10b zenon_H10d zenon_H102 zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H231 zenon_H21d zenon_H108.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.47 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.47 apply (zenon_L353_); trivial.
% 1.28/1.47 apply (zenon_L309_); trivial.
% 1.28/1.47 (* end of lemma zenon_L354_ *)
% 1.28/1.47 assert (zenon_L355_ : (~(hskp15)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_He8 zenon_H8e zenon_H8f zenon_H90 zenon_Haa zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_Hea zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.48 apply (zenon_L345_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.48 apply (zenon_L325_); trivial.
% 1.28/1.48 apply (zenon_L175_); trivial.
% 1.28/1.48 (* end of lemma zenon_L355_ *)
% 1.28/1.48 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a840))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H7e zenon_H8e zenon_H90 zenon_H8f zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.28/1.48 apply (zenon_L27_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.48 apply (zenon_L343_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.48 apply (zenon_L355_); trivial.
% 1.28/1.48 apply (zenon_L68_); trivial.
% 1.28/1.48 (* end of lemma zenon_L356_ *)
% 1.28/1.48 assert (zenon_L357_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H124 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L155_); trivial.
% 1.28/1.48 apply (zenon_L347_); trivial.
% 1.28/1.48 (* end of lemma zenon_L357_ *)
% 1.28/1.48 assert (zenon_L358_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_He6 zenon_He4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H233 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H108 zenon_H124.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L155_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.48 apply (zenon_L341_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.28/1.48 apply (zenon_L55_); trivial.
% 1.28/1.48 apply (zenon_L356_); trivial.
% 1.28/1.48 apply (zenon_L357_); trivial.
% 1.28/1.48 (* end of lemma zenon_L358_ *)
% 1.28/1.48 assert (zenon_L359_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H124 zenon_Haa zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H22d zenon_H22f.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L318_); trivial.
% 1.28/1.48 apply (zenon_L149_); trivial.
% 1.28/1.48 (* end of lemma zenon_L359_ *)
% 1.28/1.48 assert (zenon_L360_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H22f zenon_H22d zenon_H16e zenon_He4 zenon_Haa zenon_H124 zenon_H235.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.28/1.48 apply (zenon_L315_); trivial.
% 1.28/1.48 apply (zenon_L359_); trivial.
% 1.28/1.48 apply (zenon_L156_); trivial.
% 1.28/1.48 (* end of lemma zenon_L360_ *)
% 1.28/1.48 assert (zenon_L361_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.28/1.48 apply (zenon_L222_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.28/1.48 apply (zenon_L174_); trivial.
% 1.28/1.48 apply (zenon_L108_); trivial.
% 1.28/1.48 (* end of lemma zenon_L361_ *)
% 1.28/1.48 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_Hec zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.48 apply (zenon_L14_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.48 apply (zenon_L319_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.48 apply (zenon_L116_); trivial.
% 1.28/1.48 apply (zenon_L361_); trivial.
% 1.28/1.48 (* end of lemma zenon_L362_ *)
% 1.28/1.48 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H11d zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Haa zenon_H40 zenon_Hef.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.28/1.48 apply (zenon_L4_); trivial.
% 1.28/1.48 apply (zenon_L362_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.28/1.48 apply (zenon_L319_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.28/1.48 apply (zenon_L48_); trivial.
% 1.28/1.48 apply (zenon_L361_); trivial.
% 1.28/1.48 (* end of lemma zenon_L363_ *)
% 1.28/1.48 assert (zenon_L364_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H124 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Haa zenon_H40 zenon_Hef zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L318_); trivial.
% 1.28/1.48 apply (zenon_L363_); trivial.
% 1.28/1.48 (* end of lemma zenon_L364_ *)
% 1.28/1.48 assert (zenon_L365_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H22f zenon_H22d zenon_Hef zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hf zenon_H2a zenon_H2e zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H124.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.48 apply (zenon_L364_); trivial.
% 1.28/1.48 apply (zenon_L323_); trivial.
% 1.28/1.48 (* end of lemma zenon_L365_ *)
% 1.28/1.48 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H22f zenon_H22d zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_Hf zenon_H2e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.28/1.48 apply (zenon_L315_); trivial.
% 1.28/1.48 apply (zenon_L365_); trivial.
% 1.28/1.48 (* end of lemma zenon_L366_ *)
% 1.28/1.48 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H103 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L155_); trivial.
% 1.28/1.48 apply (zenon_L322_); trivial.
% 1.28/1.48 (* end of lemma zenon_L367_ *)
% 1.28/1.48 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hef zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_Hf zenon_H2a zenon_H2e zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H124.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L155_); trivial.
% 1.28/1.48 apply (zenon_L363_); trivial.
% 1.28/1.48 apply (zenon_L367_); trivial.
% 1.28/1.48 (* end of lemma zenon_L368_ *)
% 1.28/1.48 assert (zenon_L369_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H20b zenon_H18a zenon_H185 zenon_H233 zenon_Hc2 zenon_H1ca zenon_H11e zenon_H133 zenon_H10b zenon_H10d zenon_H102 zenon_H1c0 zenon_H231 zenon_H21d zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H124 zenon_Hac zenon_H1e4 zenon_H86 zenon_H88 zenon_H1bc zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_Hf zenon_H3c zenon_Hea zenon_H7e zenon_H1c4 zenon_H80 zenon_H22d zenon_H22f zenon_He4 zenon_He6 zenon_H103 zenon_H138 zenon_H235 zenon_H18b zenon_H16e zenon_H1d9.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.48 apply (zenon_L349_); trivial.
% 1.28/1.48 apply (zenon_L354_); trivial.
% 1.28/1.48 apply (zenon_L153_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.48 apply (zenon_L358_); trivial.
% 1.28/1.48 apply (zenon_L354_); trivial.
% 1.28/1.48 apply (zenon_L153_); trivial.
% 1.28/1.48 apply (zenon_L360_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.48 apply (zenon_L349_); trivial.
% 1.28/1.48 apply (zenon_L366_); trivial.
% 1.28/1.48 apply (zenon_L153_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.28/1.48 apply (zenon_L358_); trivial.
% 1.28/1.48 apply (zenon_L368_); trivial.
% 1.28/1.48 apply (zenon_L153_); trivial.
% 1.28/1.48 apply (zenon_L360_); trivial.
% 1.28/1.48 (* end of lemma zenon_L369_ *)
% 1.28/1.48 assert (zenon_L370_ : ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (~(c3_1 (a828))) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H239 zenon_H226 zenon_H225 zenon_H224 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_Hd.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H223 | zenon_intro zenon_H23a ].
% 1.28/1.48 apply (zenon_L316_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H204 | zenon_intro zenon_He ].
% 1.28/1.48 apply (zenon_L279_); trivial.
% 1.28/1.48 exact (zenon_Hd zenon_He).
% 1.28/1.48 (* end of lemma zenon_L370_ *)
% 1.28/1.48 assert (zenon_L371_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp29)) -> (~(hskp9)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_Hb4 zenon_H210 zenon_H20f zenon_H12 zenon_Hd8 zenon_Hb0 zenon_Hb2.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ].
% 1.28/1.48 apply (zenon_L297_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ].
% 1.28/1.48 exact (zenon_Hb0 zenon_Hb1).
% 1.28/1.48 exact (zenon_Hb2 zenon_Hb3).
% 1.28/1.48 (* end of lemma zenon_L371_ *)
% 1.28/1.48 assert (zenon_L372_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.48 apply (zenon_L371_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.48 apply (zenon_L15_); trivial.
% 1.28/1.48 exact (zenon_He8 zenon_He9).
% 1.28/1.48 (* end of lemma zenon_L372_ *)
% 1.28/1.48 assert (zenon_L373_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.28/1.48 apply (zenon_L297_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.28/1.48 apply (zenon_L59_); trivial.
% 1.28/1.48 apply (zenon_L257_); trivial.
% 1.28/1.48 (* end of lemma zenon_L373_ *)
% 1.28/1.48 assert (zenon_L374_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_Hea zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.48 apply (zenon_L373_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.48 apply (zenon_L15_); trivial.
% 1.28/1.48 exact (zenon_He8 zenon_He9).
% 1.28/1.48 (* end of lemma zenon_L374_ *)
% 1.28/1.48 assert (zenon_L375_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.28/1.48 do 0 intro. intros zenon_Hea zenon_Hf6 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.28/1.48 apply (zenon_L307_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.28/1.48 apply (zenon_L15_); trivial.
% 1.28/1.48 exact (zenon_He8 zenon_He9).
% 1.28/1.48 (* end of lemma zenon_L375_ *)
% 1.28/1.48 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.28/1.48 apply (zenon_L372_); trivial.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.28/1.48 apply (zenon_L374_); trivial.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.28/1.48 apply (zenon_L375_); trivial.
% 1.28/1.48 apply (zenon_L320_); trivial.
% 1.28/1.48 (* end of lemma zenon_L376_ *)
% 1.28/1.48 assert (zenon_L377_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.28/1.48 apply (zenon_L26_); trivial.
% 1.28/1.48 apply (zenon_L376_); trivial.
% 1.28/1.48 (* end of lemma zenon_L377_ *)
% 1.28/1.48 assert (zenon_L378_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H138 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.28/1.48 apply (zenon_L370_); trivial.
% 1.28/1.48 apply (zenon_L377_); trivial.
% 1.28/1.48 (* end of lemma zenon_L378_ *)
% 1.28/1.48 assert (zenon_L379_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H18b zenon_H7e zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hea zenon_Hb2 zenon_Hb4 zenon_H103 zenon_Hc2 zenon_H138 zenon_H235.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.28/1.48 apply (zenon_L315_); trivial.
% 1.28/1.48 apply (zenon_L378_); trivial.
% 1.28/1.48 apply (zenon_L153_); trivial.
% 1.28/1.48 (* end of lemma zenon_L379_ *)
% 1.28/1.48 assert (zenon_L380_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.28/1.48 do 0 intro. intros zenon_H124 zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.28/1.48 apply (zenon_L155_); trivial.
% 1.28/1.48 apply (zenon_L252_); trivial.
% 1.28/1.48 (* end of lemma zenon_L380_ *)
% 1.28/1.48 assert (zenon_L381_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H80 zenon_H124.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.48 apply (zenon_L380_); trivial.
% 1.33/1.48 apply (zenon_L377_); trivial.
% 1.33/1.48 (* end of lemma zenon_L381_ *)
% 1.33/1.48 assert (zenon_L382_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.48 apply (zenon_L44_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.48 apply (zenon_L266_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.48 apply (zenon_L266_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.48 apply (zenon_L302_); trivial.
% 1.33/1.48 apply (zenon_L175_); trivial.
% 1.33/1.48 exact (zenon_H1be zenon_H1bf).
% 1.33/1.48 (* end of lemma zenon_L382_ *)
% 1.33/1.48 assert (zenon_L383_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H23b zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.33/1.48 apply (zenon_L331_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.33/1.48 apply (zenon_L279_); trivial.
% 1.33/1.48 apply (zenon_L229_); trivial.
% 1.33/1.48 (* end of lemma zenon_L383_ *)
% 1.33/1.48 assert (zenon_L384_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hd8 zenon_H12 zenon_H6b zenon_Ha2 zenon_Ha3 zenon_Ha1.
% 1.33/1.48 generalize (zenon_Hd8 (a865)). zenon_intro zenon_H23d.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_H11 | zenon_intro zenon_H23e ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ].
% 1.33/1.48 generalize (zenon_H6b (a865)). zenon_intro zenon_H241.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_H11 | zenon_intro zenon_H242 ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H243 | zenon_intro zenon_Ha6 ].
% 1.33/1.48 exact (zenon_H243 zenon_H240).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ].
% 1.33/1.48 exact (zenon_Ha9 zenon_Ha2).
% 1.33/1.48 exact (zenon_Ha8 zenon_Ha3).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 1.33/1.48 exact (zenon_Ha1 zenon_Ha7).
% 1.33/1.48 exact (zenon_Ha8 zenon_Ha3).
% 1.33/1.48 (* end of lemma zenon_L384_ *)
% 1.33/1.48 assert (zenon_L385_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.33/1.48 apply (zenon_L297_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.33/1.48 apply (zenon_L384_); trivial.
% 1.33/1.48 apply (zenon_L257_); trivial.
% 1.33/1.48 (* end of lemma zenon_L385_ *)
% 1.33/1.48 assert (zenon_L386_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.48 apply (zenon_L385_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.48 apply (zenon_L302_); trivial.
% 1.33/1.48 apply (zenon_L52_); trivial.
% 1.33/1.48 (* end of lemma zenon_L386_ *)
% 1.33/1.48 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Had zenon_H54 zenon_H1c4 zenon_H5 zenon_Haa zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.48 apply (zenon_L27_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.33/1.48 apply (zenon_L383_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.33/1.48 apply (zenon_L386_); trivial.
% 1.33/1.48 exact (zenon_H5 zenon_H6).
% 1.33/1.48 (* end of lemma zenon_L387_ *)
% 1.33/1.48 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H3b zenon_H103 zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_Hd9 zenon_Hd7 zenon_He8.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.33/1.48 apply (zenon_L266_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.33/1.48 apply (zenon_L375_); trivial.
% 1.33/1.48 apply (zenon_L320_); trivial.
% 1.33/1.48 (* end of lemma zenon_L388_ *)
% 1.33/1.48 assert (zenon_L389_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H23b zenon_H97 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.33/1.48 apply (zenon_L385_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.33/1.48 apply (zenon_L279_); trivial.
% 1.33/1.48 apply (zenon_L229_); trivial.
% 1.33/1.48 (* end of lemma zenon_L389_ *)
% 1.33/1.48 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Had zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L26_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.33/1.48 apply (zenon_L389_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.33/1.48 apply (zenon_L375_); trivial.
% 1.33/1.48 apply (zenon_L320_); trivial.
% 1.33/1.48 (* end of lemma zenon_L390_ *)
% 1.33/1.48 assert (zenon_L391_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H135 zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H40.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L26_); trivial.
% 1.33/1.48 apply (zenon_L388_); trivial.
% 1.33/1.48 apply (zenon_L390_); trivial.
% 1.33/1.48 (* end of lemma zenon_L391_ *)
% 1.33/1.48 assert (zenon_L392_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H57 zenon_H59 zenon_H23b zenon_H1dd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5 zenon_H1c4 zenon_Hac.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.48 apply (zenon_L382_); trivial.
% 1.33/1.48 apply (zenon_L387_); trivial.
% 1.33/1.48 apply (zenon_L391_); trivial.
% 1.33/1.48 (* end of lemma zenon_L392_ *)
% 1.33/1.48 assert (zenon_L393_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H27.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ].
% 1.33/1.48 apply (zenon_L10_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ].
% 1.33/1.48 apply (zenon_L124_); trivial.
% 1.33/1.48 exact (zenon_H27 zenon_H28).
% 1.33/1.48 (* end of lemma zenon_L393_ *)
% 1.33/1.48 assert (zenon_L394_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp22)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H155 zenon_H27 zenon_H30 zenon_H31 zenon_H32 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.48 apply (zenon_L393_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.48 apply (zenon_L127_); trivial.
% 1.33/1.48 exact (zenon_H153 zenon_H154).
% 1.33/1.48 (* end of lemma zenon_L394_ *)
% 1.33/1.48 assert (zenon_L395_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hef zenon_H54 zenon_H1c4 zenon_H7e zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.48 apply (zenon_L4_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.48 apply (zenon_L27_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L343_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.33/1.48 apply (zenon_L394_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.33/1.48 apply (zenon_L299_); trivial.
% 1.33/1.48 exact (zenon_H5 zenon_H6).
% 1.33/1.48 (* end of lemma zenon_L395_ *)
% 1.33/1.48 assert (zenon_L396_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H244 zenon_H245 zenon_H246.
% 1.33/1.48 generalize (zenon_Hf0 (a800)). zenon_intro zenon_H247.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H11 | zenon_intro zenon_H248 ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24a | zenon_intro zenon_H249 ].
% 1.33/1.48 exact (zenon_H244 zenon_H24a).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ].
% 1.33/1.48 exact (zenon_H245 zenon_H24c).
% 1.33/1.48 exact (zenon_H24b zenon_H246).
% 1.33/1.48 (* end of lemma zenon_L396_ *)
% 1.33/1.48 assert (zenon_L397_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp8)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1d4 zenon_H246 zenon_H245 zenon_H244 zenon_H12 zenon_H1 zenon_H55.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1d5 ].
% 1.33/1.48 apply (zenon_L396_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H2 | zenon_intro zenon_H56 ].
% 1.33/1.48 exact (zenon_H1 zenon_H2).
% 1.33/1.48 exact (zenon_H55 zenon_H56).
% 1.33/1.48 (* end of lemma zenon_L397_ *)
% 1.33/1.48 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H29 zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.33/1.48 apply (zenon_L11_); trivial.
% 1.33/1.48 exact (zenon_H1be zenon_H1bf).
% 1.33/1.48 (* end of lemma zenon_L398_ *)
% 1.33/1.48 assert (zenon_L399_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H1be.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.33/1.48 apply (zenon_L35_); trivial.
% 1.33/1.48 exact (zenon_H1be zenon_H1bf).
% 1.33/1.48 (* end of lemma zenon_L399_ *)
% 1.33/1.48 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp12)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp28)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H1be zenon_H42 zenon_H43 zenon_H44 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_Hb.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.33/1.48 apply (zenon_L399_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.33/1.48 apply (zenon_L11_); trivial.
% 1.33/1.48 exact (zenon_Hb zenon_Hc).
% 1.33/1.48 (* end of lemma zenon_L400_ *)
% 1.33/1.48 assert (zenon_L401_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H42 zenon_H43 zenon_H44 zenon_H1be zenon_H1c0 zenon_Hb zenon_Hd zenon_Hf.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.48 apply (zenon_L8_); trivial.
% 1.33/1.48 apply (zenon_L400_); trivial.
% 1.33/1.48 (* end of lemma zenon_L401_ *)
% 1.33/1.48 assert (zenon_L402_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.33/1.48 apply (zenon_L124_); trivial.
% 1.33/1.48 exact (zenon_H1be zenon_H1bf).
% 1.33/1.48 (* end of lemma zenon_L402_ *)
% 1.33/1.48 assert (zenon_L403_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H157 zenon_H12 zenon_H129 zenon_H1e9 zenon_H1eb zenon_H1ea.
% 1.33/1.48 generalize (zenon_H157 (a805)). zenon_intro zenon_H24d.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H24d); [ zenon_intro zenon_H11 | zenon_intro zenon_H24e ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_H1ee ].
% 1.33/1.48 generalize (zenon_H129 (a805)). zenon_intro zenon_H250.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ef | zenon_intro zenon_H252 ].
% 1.33/1.48 exact (zenon_H1e9 zenon_H1ef).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H1f0 ].
% 1.33/1.48 exact (zenon_H253 zenon_H24f).
% 1.33/1.48 exact (zenon_H1f0 zenon_H1eb).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ].
% 1.33/1.48 exact (zenon_H1ea zenon_H1f1).
% 1.33/1.48 exact (zenon_H1f0 zenon_H1eb).
% 1.33/1.48 (* end of lemma zenon_L403_ *)
% 1.33/1.48 assert (zenon_L404_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H157 zenon_H12 zenon_H1e9 zenon_H1eb zenon_H1ea.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.33/1.48 apply (zenon_L402_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 apply (zenon_L403_); trivial.
% 1.33/1.48 (* end of lemma zenon_L404_ *)
% 1.33/1.48 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H3b zenon_H165 zenon_H231 zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H42 zenon_H43 zenon_H44.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.48 apply (zenon_L404_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.48 apply (zenon_L399_); trivial.
% 1.33/1.48 apply (zenon_L19_); trivial.
% 1.33/1.48 (* end of lemma zenon_L405_ *)
% 1.33/1.48 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H231 zenon_Hf zenon_Hd zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1bc zenon_H2e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_L401_); trivial.
% 1.33/1.48 apply (zenon_L405_); trivial.
% 1.33/1.48 (* end of lemma zenon_L406_ *)
% 1.33/1.48 assert (zenon_L407_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.48 apply (zenon_L8_); trivial.
% 1.33/1.48 apply (zenon_L398_); trivial.
% 1.33/1.48 apply (zenon_L17_); trivial.
% 1.33/1.48 apply (zenon_L406_); trivial.
% 1.33/1.48 (* end of lemma zenon_L407_ *)
% 1.33/1.48 assert (zenon_L408_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp4)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H135 zenon_H102 zenon_H246 zenon_H245 zenon_H244 zenon_H1.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.33/1.48 apply (zenon_L396_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.33/1.48 apply (zenon_L87_); trivial.
% 1.33/1.48 exact (zenon_H1 zenon_H2).
% 1.33/1.48 (* end of lemma zenon_L408_ *)
% 1.33/1.48 assert (zenon_L409_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H246 zenon_H245 zenon_H244 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.48 apply (zenon_L407_); trivial.
% 1.33/1.48 apply (zenon_L408_); trivial.
% 1.33/1.48 (* end of lemma zenon_L409_ *)
% 1.33/1.48 assert (zenon_L410_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H157 zenon_H12 zenon_H1e9 zenon_H1eb zenon_H1ea.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.33/1.48 apply (zenon_L222_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 apply (zenon_L403_); trivial.
% 1.33/1.48 (* end of lemma zenon_L410_ *)
% 1.33/1.48 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1d8 zenon_H16e zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.33/1.48 apply (zenon_L410_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.33/1.48 apply (zenon_L243_); trivial.
% 1.33/1.48 exact (zenon_He4 zenon_He5).
% 1.33/1.48 (* end of lemma zenon_L411_ *)
% 1.33/1.48 assert (zenon_L412_ : ((ndr1_0)/\((c3_1 (a800))/\((~(c0_1 (a800)))/\(~(c1_1 (a800)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H254 zenon_H255 zenon_H20b zenon_H16e zenon_He4 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H102 zenon_H138 zenon_H1 zenon_H1d4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.33/1.48 apply (zenon_L397_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.48 apply (zenon_L409_); trivial.
% 1.33/1.48 apply (zenon_L411_); trivial.
% 1.33/1.48 (* end of lemma zenon_L412_ *)
% 1.33/1.48 assert (zenon_L413_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a799)) -> (c2_1 (a799)) -> (c3_1 (a799)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H41 zenon_H12 zenon_H258 zenon_H259 zenon_H25a.
% 1.33/1.48 generalize (zenon_H41 (a799)). zenon_intro zenon_H25b.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H11 | zenon_intro zenon_H25c ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ].
% 1.33/1.48 exact (zenon_H25e zenon_H258).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ].
% 1.33/1.48 exact (zenon_H260 zenon_H259).
% 1.33/1.48 exact (zenon_H25f zenon_H25a).
% 1.33/1.48 (* end of lemma zenon_L413_ *)
% 1.33/1.48 assert (zenon_L414_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H10f zenon_H12 zenon_H41 zenon_H258 zenon_H25a.
% 1.33/1.48 generalize (zenon_H10f (a799)). zenon_intro zenon_H261.
% 1.33/1.48 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H11 | zenon_intro zenon_H262 ].
% 1.33/1.48 exact (zenon_H11 zenon_H12).
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H259 | zenon_intro zenon_H263 ].
% 1.33/1.48 apply (zenon_L413_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ].
% 1.33/1.48 exact (zenon_H25e zenon_H258).
% 1.33/1.48 exact (zenon_H25f zenon_H25a).
% 1.33/1.48 (* end of lemma zenon_L414_ *)
% 1.33/1.48 assert (zenon_L415_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (~(hskp30)) -> (~(hskp20)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_H10f zenon_H9 zenon_H8a.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ].
% 1.33/1.48 apply (zenon_L414_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ].
% 1.33/1.48 exact (zenon_H9 zenon_Ha).
% 1.33/1.48 exact (zenon_H8a zenon_H8b).
% 1.33/1.48 (* end of lemma zenon_L415_ *)
% 1.33/1.48 assert (zenon_L416_ : ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp30)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> (~(hskp20)) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H1f2 zenon_H9 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_Hb2 zenon_H8a.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f3 ].
% 1.33/1.48 apply (zenon_L415_); trivial.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H8b ].
% 1.33/1.48 exact (zenon_Hb2 zenon_Hb3).
% 1.33/1.48 exact (zenon_H8a zenon_H8b).
% 1.33/1.48 (* end of lemma zenon_L416_ *)
% 1.33/1.48 assert (zenon_L417_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb2 zenon_Hb4.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.33/1.48 apply (zenon_L58_); trivial.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.48 apply (zenon_L416_); trivial.
% 1.33/1.48 apply (zenon_L60_); trivial.
% 1.33/1.48 (* end of lemma zenon_L417_ *)
% 1.33/1.48 assert (zenon_L418_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.33/1.48 do 0 intro. intros zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.33/1.48 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.48 apply (zenon_L122_); trivial.
% 1.33/1.48 apply (zenon_L417_); trivial.
% 1.33/1.48 (* end of lemma zenon_L418_ *)
% 1.33/1.48 assert (zenon_L419_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L418_); trivial.
% 1.33/1.49 apply (zenon_L252_); trivial.
% 1.33/1.49 (* end of lemma zenon_L419_ *)
% 1.33/1.49 assert (zenon_L420_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H14f zenon_H12 zenon_H264 zenon_H258 zenon_H25a.
% 1.33/1.49 generalize (zenon_H14f (a799)). zenon_intro zenon_H265.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H265); [ zenon_intro zenon_H11 | zenon_intro zenon_H266 ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H267 | zenon_intro zenon_H263 ].
% 1.33/1.49 exact (zenon_H264 zenon_H267).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ].
% 1.33/1.49 exact (zenon_H25e zenon_H258).
% 1.33/1.49 exact (zenon_H25f zenon_H25a).
% 1.33/1.49 (* end of lemma zenon_L420_ *)
% 1.33/1.49 assert (zenon_L421_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.49 apply (zenon_L84_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.49 apply (zenon_L420_); trivial.
% 1.33/1.49 exact (zenon_H153 zenon_H154).
% 1.33/1.49 (* end of lemma zenon_L421_ *)
% 1.33/1.49 assert (zenon_L422_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1c4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.33/1.49 apply (zenon_L421_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.33/1.49 apply (zenon_L74_); trivial.
% 1.33/1.49 exact (zenon_H5 zenon_H6).
% 1.33/1.49 (* end of lemma zenon_L422_ *)
% 1.33/1.49 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H155 zenon_H153 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L418_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L122_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_L422_); trivial.
% 1.33/1.49 apply (zenon_L69_); trivial.
% 1.33/1.49 (* end of lemma zenon_L423_ *)
% 1.33/1.49 assert (zenon_L424_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H138 zenon_H155 zenon_H153 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_L419_); trivial.
% 1.33/1.49 apply (zenon_L423_); trivial.
% 1.33/1.49 (* end of lemma zenon_L424_ *)
% 1.33/1.49 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hbf zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H25a zenon_H258 zenon_H264 zenon_H153.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.49 apply (zenon_L125_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.49 apply (zenon_L420_); trivial.
% 1.33/1.49 exact (zenon_H153 zenon_H154).
% 1.33/1.49 (* end of lemma zenon_L425_ *)
% 1.33/1.49 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H71 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.33/1.49 apply (zenon_L58_); trivial.
% 1.33/1.49 apply (zenon_L425_); trivial.
% 1.33/1.49 (* end of lemma zenon_L426_ *)
% 1.33/1.49 assert (zenon_L427_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L62_); trivial.
% 1.33/1.49 apply (zenon_L426_); trivial.
% 1.33/1.49 (* end of lemma zenon_L427_ *)
% 1.33/1.49 assert (zenon_L428_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L122_); trivial.
% 1.33/1.49 apply (zenon_L427_); trivial.
% 1.33/1.49 (* end of lemma zenon_L428_ *)
% 1.33/1.49 assert (zenon_L429_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H54 zenon_H40 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H5 zenon_H1c4.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_L422_); trivial.
% 1.33/1.49 apply (zenon_L110_); trivial.
% 1.33/1.49 (* end of lemma zenon_L429_ *)
% 1.33/1.49 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H11e zenon_H80 zenon_H54 zenon_H40 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c6 zenon_H1c8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.49 apply (zenon_L218_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L122_); trivial.
% 1.33/1.49 apply (zenon_L429_); trivial.
% 1.33/1.49 (* end of lemma zenon_L430_ *)
% 1.33/1.49 assert (zenon_L431_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H153 zenon_H155 zenon_H138.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.49 apply (zenon_L424_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_L428_); trivial.
% 1.33/1.49 apply (zenon_L430_); trivial.
% 1.33/1.49 (* end of lemma zenon_L431_ *)
% 1.33/1.49 assert (zenon_L432_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H10f zenon_H12 zenon_H73 zenon_H264 zenon_H25a zenon_H258.
% 1.33/1.49 generalize (zenon_H10f (a799)). zenon_intro zenon_H261.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H11 | zenon_intro zenon_H262 ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H259 | zenon_intro zenon_H263 ].
% 1.33/1.49 generalize (zenon_H73 (a799)). zenon_intro zenon_H268.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H11 | zenon_intro zenon_H269 ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H267 | zenon_intro zenon_H25d ].
% 1.33/1.49 exact (zenon_H264 zenon_H267).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ].
% 1.33/1.49 exact (zenon_H260 zenon_H259).
% 1.33/1.49 exact (zenon_H25f zenon_H25a).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ].
% 1.33/1.49 exact (zenon_H25e zenon_H258).
% 1.33/1.49 exact (zenon_H25f zenon_H25a).
% 1.33/1.49 (* end of lemma zenon_L432_ *)
% 1.33/1.49 assert (zenon_L433_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.33/1.49 apply (zenon_L141_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.33/1.49 apply (zenon_L432_); trivial.
% 1.33/1.49 apply (zenon_L320_); trivial.
% 1.33/1.49 (* end of lemma zenon_L433_ *)
% 1.33/1.49 assert (zenon_L434_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.49 apply (zenon_L48_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.49 apply (zenon_L433_); trivial.
% 1.33/1.49 exact (zenon_H55 zenon_H56).
% 1.33/1.49 (* end of lemma zenon_L434_ *)
% 1.33/1.49 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.49 apply (zenon_L434_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.49 apply (zenon_L15_); trivial.
% 1.33/1.49 exact (zenon_He8 zenon_He9).
% 1.33/1.49 (* end of lemma zenon_L435_ *)
% 1.33/1.49 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H101 zenon_H40 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L26_); trivial.
% 1.33/1.49 apply (zenon_L435_); trivial.
% 1.33/1.49 (* end of lemma zenon_L436_ *)
% 1.33/1.49 assert (zenon_L437_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H108 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H54 zenon_H165 zenon_H161 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_Hef.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.49 apply (zenon_L151_); trivial.
% 1.33/1.49 apply (zenon_L436_); trivial.
% 1.33/1.49 (* end of lemma zenon_L437_ *)
% 1.33/1.49 assert (zenon_L438_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H17b zenon_H12 zenon_H264 zenon_H41 zenon_H258 zenon_H25a.
% 1.33/1.49 generalize (zenon_H17b (a799)). zenon_intro zenon_H26a.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H11 | zenon_intro zenon_H26b ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H267 | zenon_intro zenon_H26c ].
% 1.33/1.49 exact (zenon_H264 zenon_H267).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H25e ].
% 1.33/1.49 apply (zenon_L413_); trivial.
% 1.33/1.49 exact (zenon_H25e zenon_H258).
% 1.33/1.49 (* end of lemma zenon_L438_ *)
% 1.33/1.49 assert (zenon_L439_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H185 zenon_H25a zenon_H258 zenon_H41 zenon_H264 zenon_H12 zenon_H8a zenon_H86.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ].
% 1.33/1.49 apply (zenon_L438_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ].
% 1.33/1.49 exact (zenon_H8a zenon_H8b).
% 1.33/1.49 exact (zenon_H86 zenon_H87).
% 1.33/1.49 (* end of lemma zenon_L439_ *)
% 1.33/1.49 assert (zenon_L440_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H185 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H8a zenon_H86.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.49 apply (zenon_L136_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.49 apply (zenon_L117_); trivial.
% 1.33/1.49 apply (zenon_L439_); trivial.
% 1.33/1.49 (* end of lemma zenon_L440_ *)
% 1.33/1.49 assert (zenon_L441_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L440_); trivial.
% 1.33/1.49 apply (zenon_L215_); trivial.
% 1.33/1.49 (* end of lemma zenon_L441_ *)
% 1.33/1.49 assert (zenon_L442_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H41 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.33/1.49 generalize (zenon_H41 (a797)). zenon_intro zenon_H26d.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H66 | zenon_intro zenon_H35 ].
% 1.33/1.49 apply (zenon_L123_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 1.33/1.49 exact (zenon_H38 zenon_H31).
% 1.33/1.49 exact (zenon_H37 zenon_H32).
% 1.33/1.49 (* end of lemma zenon_L442_ *)
% 1.33/1.49 assert (zenon_L443_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.49 apply (zenon_L136_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.49 apply (zenon_L117_); trivial.
% 1.33/1.49 apply (zenon_L442_); trivial.
% 1.33/1.49 (* end of lemma zenon_L443_ *)
% 1.33/1.49 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12a zenon_H12b zenon_H12c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.33/1.49 apply (zenon_L443_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.49 apply (zenon_L64_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.49 apply (zenon_L117_); trivial.
% 1.33/1.49 exact (zenon_H55 zenon_H56).
% 1.33/1.49 apply (zenon_L108_); trivial.
% 1.33/1.49 (* end of lemma zenon_L444_ *)
% 1.33/1.49 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.49 apply (zenon_L136_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.49 apply (zenon_L117_); trivial.
% 1.33/1.49 apply (zenon_L19_); trivial.
% 1.33/1.49 (* end of lemma zenon_L445_ *)
% 1.33/1.49 assert (zenon_L446_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H10b zenon_H109 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H40.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L91_); trivial.
% 1.33/1.49 apply (zenon_L444_); trivial.
% 1.33/1.49 apply (zenon_L445_); trivial.
% 1.33/1.49 (* end of lemma zenon_L446_ *)
% 1.33/1.49 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H11d zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H10b zenon_H54.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.49 apply (zenon_L446_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L109_); trivial.
% 1.33/1.49 apply (zenon_L444_); trivial.
% 1.33/1.49 (* end of lemma zenon_L447_ *)
% 1.33/1.49 assert (zenon_L448_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H55 zenon_H7e zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L440_); trivial.
% 1.33/1.49 apply (zenon_L447_); trivial.
% 1.33/1.49 (* end of lemma zenon_L448_ *)
% 1.33/1.49 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.49 apply (zenon_L441_); trivial.
% 1.33/1.49 apply (zenon_L448_); trivial.
% 1.33/1.49 (* end of lemma zenon_L449_ *)
% 1.33/1.49 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_Hea zenon_He6 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_Hd4 zenon_H185 zenon_H86 zenon_H10b zenon_H231 zenon_H133 zenon_H11e zenon_H1ca zenon_H18b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_L150_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L437_); trivial.
% 1.33/1.49 apply (zenon_L149_); trivial.
% 1.33/1.49 apply (zenon_L449_); trivial.
% 1.33/1.49 apply (zenon_L156_); trivial.
% 1.33/1.49 (* end of lemma zenon_L450_ *)
% 1.33/1.49 assert (zenon_L451_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp30)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(hskp1)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H185 zenon_H9 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H8a zenon_H86.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ].
% 1.33/1.49 apply (zenon_L438_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ].
% 1.33/1.49 exact (zenon_H9 zenon_Ha).
% 1.33/1.49 exact (zenon_H8a zenon_H8b).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ].
% 1.33/1.49 exact (zenon_H8a zenon_H8b).
% 1.33/1.49 exact (zenon_H86 zenon_H87).
% 1.33/1.49 (* end of lemma zenon_L451_ *)
% 1.33/1.49 assert (zenon_L452_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H2e zenon_H163 zenon_H3 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.49 apply (zenon_L451_); trivial.
% 1.33/1.49 apply (zenon_L228_); trivial.
% 1.33/1.49 (* end of lemma zenon_L452_ *)
% 1.33/1.49 assert (zenon_L453_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.49 apply (zenon_L452_); trivial.
% 1.33/1.49 apply (zenon_L140_); trivial.
% 1.33/1.49 (* end of lemma zenon_L453_ *)
% 1.33/1.49 assert (zenon_L454_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H101 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L93_); trivial.
% 1.33/1.49 apply (zenon_L250_); trivial.
% 1.33/1.49 (* end of lemma zenon_L454_ *)
% 1.33/1.49 assert (zenon_L455_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.49 apply (zenon_L453_); trivial.
% 1.33/1.49 apply (zenon_L454_); trivial.
% 1.33/1.49 apply (zenon_L255_); trivial.
% 1.33/1.49 (* end of lemma zenon_L455_ *)
% 1.33/1.49 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_H71.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.49 apply (zenon_L136_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.49 apply (zenon_L36_); trivial.
% 1.33/1.49 apply (zenon_L19_); trivial.
% 1.33/1.49 (* end of lemma zenon_L456_ *)
% 1.33/1.49 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H54 zenon_H165 zenon_H71 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_He4 zenon_H16e zenon_He6 zenon_H5 zenon_H1c4.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.33/1.49 apply (zenon_L145_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.33/1.49 apply (zenon_L84_); trivial.
% 1.33/1.49 apply (zenon_L86_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.33/1.49 apply (zenon_L74_); trivial.
% 1.33/1.49 exact (zenon_H5 zenon_H6).
% 1.33/1.49 apply (zenon_L456_); trivial.
% 1.33/1.49 (* end of lemma zenon_L457_ *)
% 1.33/1.49 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H165 zenon_H71 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L122_); trivial.
% 1.33/1.49 apply (zenon_L457_); trivial.
% 1.33/1.49 (* end of lemma zenon_L458_ *)
% 1.33/1.49 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H165 zenon_H103 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L418_); trivial.
% 1.33/1.49 apply (zenon_L458_); trivial.
% 1.33/1.49 (* end of lemma zenon_L459_ *)
% 1.33/1.49 assert (zenon_L460_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_He4.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.33/1.49 apply (zenon_L136_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.33/1.49 apply (zenon_L141_); trivial.
% 1.33/1.49 exact (zenon_He4 zenon_He5).
% 1.33/1.49 (* end of lemma zenon_L460_ *)
% 1.33/1.49 assert (zenon_L461_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c1_1 (a867)) -> (c3_1 (a867)) -> (c0_1 (a867)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H129 zenon_H12 zenon_H2f zenon_H1f zenon_H20 zenon_H1e.
% 1.33/1.49 generalize (zenon_H129 (a867)). zenon_intro zenon_H26f.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H11 | zenon_intro zenon_H270 ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ].
% 1.33/1.49 generalize (zenon_H2f (a867)). zenon_intro zenon_H273.
% 1.33/1.49 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_H11 | zenon_intro zenon_H274 ].
% 1.33/1.49 exact (zenon_H11 zenon_H12).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26 | zenon_intro zenon_H275 ].
% 1.33/1.49 exact (zenon_H26 zenon_H1f).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H276 | zenon_intro zenon_H25 ].
% 1.33/1.49 exact (zenon_H276 zenon_H272).
% 1.33/1.49 exact (zenon_H25 zenon_H20).
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.33/1.49 exact (zenon_H24 zenon_H1e).
% 1.33/1.49 exact (zenon_H26 zenon_H1f).
% 1.33/1.49 (* end of lemma zenon_L461_ *)
% 1.33/1.49 assert (zenon_L462_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H133 zenon_H1e zenon_H20 zenon_H1f zenon_H2f zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_Hb.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ].
% 1.33/1.49 apply (zenon_L461_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ].
% 1.33/1.49 apply (zenon_L432_); trivial.
% 1.33/1.49 exact (zenon_Hb zenon_Hc).
% 1.33/1.49 (* end of lemma zenon_L462_ *)
% 1.33/1.49 assert (zenon_L463_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H2f zenon_H133 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_Hb.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.33/1.49 apply (zenon_L462_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.33/1.49 apply (zenon_L11_); trivial.
% 1.33/1.49 exact (zenon_Hb zenon_Hc).
% 1.33/1.49 (* end of lemma zenon_L463_ *)
% 1.33/1.49 assert (zenon_L464_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.49 apply (zenon_L8_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.49 apply (zenon_L460_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.49 apply (zenon_L463_); trivial.
% 1.33/1.49 exact (zenon_He8 zenon_He9).
% 1.33/1.49 apply (zenon_L17_); trivial.
% 1.33/1.49 apply (zenon_L183_); trivial.
% 1.33/1.49 (* end of lemma zenon_L464_ *)
% 1.33/1.49 assert (zenon_L465_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H161 zenon_H163 zenon_H8a zenon_H8c zenon_H55 zenon_H7e zenon_H54.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.49 apply (zenon_L464_); trivial.
% 1.33/1.49 apply (zenon_L170_); trivial.
% 1.33/1.49 (* end of lemma zenon_L465_ *)
% 1.33/1.49 assert (zenon_L466_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H1bc zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H155 zenon_H138 zenon_H18b zenon_H231 zenon_Haa zenon_H16e zenon_H108 zenon_H10d zenon_H10b zenon_H50 zenon_H163 zenon_H86 zenon_H185 zenon_H2a zenon_Hef zenon_Hea zenon_H103 zenon_H165 zenon_H18a zenon_H1d9.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.49 apply (zenon_L431_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L455_); trivial.
% 1.33/1.49 apply (zenon_L149_); trivial.
% 1.33/1.49 apply (zenon_L459_); trivial.
% 1.33/1.49 apply (zenon_L449_); trivial.
% 1.33/1.49 apply (zenon_L156_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.49 apply (zenon_L431_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L465_); trivial.
% 1.33/1.49 apply (zenon_L149_); trivial.
% 1.33/1.49 apply (zenon_L459_); trivial.
% 1.33/1.49 apply (zenon_L449_); trivial.
% 1.33/1.49 apply (zenon_L156_); trivial.
% 1.33/1.49 (* end of lemma zenon_L466_ *)
% 1.33/1.49 assert (zenon_L467_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_H125.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.33/1.49 apply (zenon_L421_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.33/1.49 apply (zenon_L15_); trivial.
% 1.33/1.49 exact (zenon_H125 zenon_H126).
% 1.33/1.49 (* end of lemma zenon_L467_ *)
% 1.33/1.49 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L26_); trivial.
% 1.33/1.49 apply (zenon_L467_); trivial.
% 1.33/1.49 (* end of lemma zenon_L468_ *)
% 1.33/1.49 assert (zenon_L469_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L55_); trivial.
% 1.33/1.49 apply (zenon_L468_); trivial.
% 1.33/1.49 (* end of lemma zenon_L469_ *)
% 1.33/1.49 assert (zenon_L470_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_L469_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L80_); trivial.
% 1.33/1.49 apply (zenon_L468_); trivial.
% 1.33/1.49 (* end of lemma zenon_L470_ *)
% 1.33/1.49 assert (zenon_L471_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H40 zenon_Hef.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.49 apply (zenon_L452_); trivial.
% 1.33/1.49 apply (zenon_L119_); trivial.
% 1.33/1.49 apply (zenon_L120_); trivial.
% 1.33/1.49 (* end of lemma zenon_L471_ *)
% 1.33/1.49 assert (zenon_L472_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H108.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.49 apply (zenon_L471_); trivial.
% 1.33/1.49 apply (zenon_L215_); trivial.
% 1.33/1.49 (* end of lemma zenon_L472_ *)
% 1.33/1.49 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp28)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hb.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.33/1.49 apply (zenon_L117_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.33/1.49 apply (zenon_L11_); trivial.
% 1.33/1.49 exact (zenon_Hb zenon_Hc).
% 1.33/1.49 (* end of lemma zenon_L473_ *)
% 1.33/1.49 assert (zenon_L474_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hb zenon_Hd zenon_Hf.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.49 apply (zenon_L8_); trivial.
% 1.33/1.49 apply (zenon_L473_); trivial.
% 1.33/1.49 (* end of lemma zenon_L474_ *)
% 1.33/1.49 assert (zenon_L475_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L474_); trivial.
% 1.33/1.49 apply (zenon_L17_); trivial.
% 1.33/1.49 (* end of lemma zenon_L475_ *)
% 1.33/1.49 assert (zenon_L476_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.49 apply (zenon_L475_); trivial.
% 1.33/1.49 apply (zenon_L22_); trivial.
% 1.33/1.49 (* end of lemma zenon_L476_ *)
% 1.33/1.49 assert (zenon_L477_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L476_); trivial.
% 1.33/1.49 apply (zenon_L468_); trivial.
% 1.33/1.49 (* end of lemma zenon_L477_ *)
% 1.33/1.49 assert (zenon_L478_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H50 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H4b zenon_H4d.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ].
% 1.33/1.49 apply (zenon_L442_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ].
% 1.33/1.49 exact (zenon_H4b zenon_H4c).
% 1.33/1.49 exact (zenon_H4d zenon_H4e).
% 1.33/1.49 (* end of lemma zenon_L478_ *)
% 1.33/1.49 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H155 zenon_H4d zenon_H4b zenon_H50 zenon_H25a zenon_H258 zenon_H264 zenon_H153.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.49 apply (zenon_L478_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.49 apply (zenon_L420_); trivial.
% 1.33/1.49 exact (zenon_H153 zenon_H154).
% 1.33/1.49 (* end of lemma zenon_L479_ *)
% 1.33/1.49 assert (zenon_L480_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H4b zenon_H4d zenon_H50 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.49 apply (zenon_L109_); trivial.
% 1.33/1.49 apply (zenon_L479_); trivial.
% 1.33/1.49 (* end of lemma zenon_L480_ *)
% 1.33/1.49 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.49 apply (zenon_L477_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.49 apply (zenon_L218_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.49 apply (zenon_L480_); trivial.
% 1.33/1.49 apply (zenon_L468_); trivial.
% 1.33/1.49 (* end of lemma zenon_L481_ *)
% 1.33/1.49 assert (zenon_L482_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H1d9 zenon_H119 zenon_H16e zenon_H16f zenon_H165 zenon_Haa zenon_H10b zenon_H231 zenon_H18b zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H1bc zenon_Hf zenon_H108 zenon_H2e zenon_H163 zenon_H8c zenon_H86 zenon_H185 zenon_H2a zenon_H7e zenon_Hef zenon_Hd4 zenon_H124 zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_He6 zenon_He4 zenon_Hea zenon_H138 zenon_H18a.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.49 apply (zenon_L470_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.49 apply (zenon_L472_); trivial.
% 1.33/1.49 apply (zenon_L481_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.49 apply (zenon_L470_); trivial.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.49 apply (zenon_L216_); trivial.
% 1.33/1.49 apply (zenon_L481_); trivial.
% 1.33/1.49 apply (zenon_L450_); trivial.
% 1.33/1.49 (* end of lemma zenon_L482_ *)
% 1.33/1.49 assert (zenon_L483_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2a zenon_H27 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.49 apply (zenon_L452_); trivial.
% 1.33/1.49 apply (zenon_L78_); trivial.
% 1.33/1.49 (* end of lemma zenon_L483_ *)
% 1.33/1.49 assert (zenon_L484_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H1c0 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.49 apply (zenon_L188_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.33/1.49 apply (zenon_L144_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.33/1.49 apply (zenon_L432_); trivial.
% 1.33/1.49 apply (zenon_L320_); trivial.
% 1.33/1.49 exact (zenon_H55 zenon_H56).
% 1.33/1.49 (* end of lemma zenon_L484_ *)
% 1.33/1.49 assert (zenon_L485_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H32 zenon_H31 zenon_H30 zenon_He8 zenon_H1c0 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.49 apply (zenon_L484_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.49 apply (zenon_L420_); trivial.
% 1.33/1.49 exact (zenon_H153 zenon_H154).
% 1.33/1.49 (* end of lemma zenon_L485_ *)
% 1.33/1.49 assert (zenon_L486_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.49 apply (zenon_L188_); trivial.
% 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.49 apply (zenon_L420_); trivial.
% 1.33/1.49 exact (zenon_H153 zenon_H154).
% 1.33/1.49 (* end of lemma zenon_L486_ *)
% 1.33/1.49 assert (zenon_L487_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H7e zenon_He8 zenon_Hea zenon_H119 zenon_H55 zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.33/1.50 apply (zenon_L485_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.50 apply (zenon_L484_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.50 apply (zenon_L486_); trivial.
% 1.33/1.50 apply (zenon_L191_); trivial.
% 1.33/1.50 apply (zenon_L72_); trivial.
% 1.33/1.50 (* end of lemma zenon_L487_ *)
% 1.33/1.50 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H21d zenon_Haa zenon_H1ad zenon_H1ae zenon_H103 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H1be zenon_H1c0 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L26_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.50 apply (zenon_L485_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.50 apply (zenon_L487_); trivial.
% 1.33/1.50 exact (zenon_H1be zenon_H1bf).
% 1.33/1.50 (* end of lemma zenon_L488_ *)
% 1.33/1.50 assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H21d zenon_H103 zenon_H119 zenon_Hef zenon_H54 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1bc zenon_H5 zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.50 apply (zenon_L483_); trivial.
% 1.33/1.50 apply (zenon_L202_); trivial.
% 1.33/1.50 apply (zenon_L488_); trivial.
% 1.33/1.50 (* end of lemma zenon_L489_ *)
% 1.33/1.50 assert (zenon_L490_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H3c zenon_Hd zenon_H10b zenon_Haa zenon_H1ae zenon_H1ad zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54 zenon_Hef zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H108.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L471_); trivial.
% 1.33/1.50 apply (zenon_L209_); trivial.
% 1.33/1.50 (* end of lemma zenon_L490_ *)
% 1.33/1.50 assert (zenon_L491_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_Haa zenon_H1ad zenon_H1ae zenon_H103 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H1be zenon_H1c0 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L155_); trivial.
% 1.33/1.50 apply (zenon_L488_); trivial.
% 1.33/1.50 (* end of lemma zenon_L491_ *)
% 1.33/1.50 assert (zenon_L492_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H138 zenon_H21d zenon_H103 zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hd2 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L211_); trivial.
% 1.33/1.50 apply (zenon_L491_); trivial.
% 1.33/1.50 (* end of lemma zenon_L492_ *)
% 1.33/1.50 assert (zenon_L493_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H155 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.50 apply (zenon_L222_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.50 apply (zenon_L420_); trivial.
% 1.33/1.50 exact (zenon_H153 zenon_H154).
% 1.33/1.50 (* end of lemma zenon_L493_ *)
% 1.33/1.50 assert (zenon_L494_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1d6 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H161.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ].
% 1.33/1.50 apply (zenon_L222_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ].
% 1.33/1.50 apply (zenon_L420_); trivial.
% 1.33/1.50 exact (zenon_H161 zenon_H162).
% 1.33/1.50 (* end of lemma zenon_L494_ *)
% 1.33/1.50 assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_Haa zenon_He4 zenon_H16e zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.50 apply (zenon_L493_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.50 apply (zenon_L494_); trivial.
% 1.33/1.50 apply (zenon_L156_); trivial.
% 1.33/1.50 (* end of lemma zenon_L495_ *)
% 1.33/1.50 assert (zenon_L496_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H1be.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.33/1.50 apply (zenon_L64_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.33/1.50 apply (zenon_L11_); trivial.
% 1.33/1.50 exact (zenon_H1be zenon_H1bf).
% 1.33/1.50 (* end of lemma zenon_L496_ *)
% 1.33/1.50 assert (zenon_L497_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H29 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.50 apply (zenon_L161_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L496_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L497_ *)
% 1.33/1.50 assert (zenon_L498_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hb zenon_Hd zenon_Hf.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.50 apply (zenon_L8_); trivial.
% 1.33/1.50 apply (zenon_L497_); trivial.
% 1.33/1.50 (* end of lemma zenon_L498_ *)
% 1.33/1.50 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1be zenon_H155 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.50 apply (zenon_L161_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L486_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L499_ *)
% 1.33/1.50 assert (zenon_L500_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L498_); trivial.
% 1.33/1.50 apply (zenon_L499_); trivial.
% 1.33/1.50 (* end of lemma zenon_L500_ *)
% 1.33/1.50 assert (zenon_L501_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L233_); trivial.
% 1.33/1.50 apply (zenon_L500_); trivial.
% 1.33/1.50 (* end of lemma zenon_L501_ *)
% 1.33/1.50 assert (zenon_L502_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11e zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.50 apply (zenon_L218_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.50 apply (zenon_L452_); trivial.
% 1.33/1.50 apply (zenon_L237_); trivial.
% 1.33/1.50 apply (zenon_L232_); trivial.
% 1.33/1.50 (* end of lemma zenon_L502_ *)
% 1.33/1.50 assert (zenon_L503_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_Hef zenon_H1a2 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H11e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L502_); trivial.
% 1.33/1.50 apply (zenon_L235_); trivial.
% 1.33/1.50 (* end of lemma zenon_L503_ *)
% 1.33/1.50 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp3)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_He4 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.50 apply (zenon_L161_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L146_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L504_ *)
% 1.33/1.50 assert (zenon_L505_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H124 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H161 zenon_H163 zenon_H8c zenon_H55 zenon_H7e zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.50 apply (zenon_L464_); trivial.
% 1.33/1.50 apply (zenon_L140_); trivial.
% 1.33/1.50 apply (zenon_L232_); trivial.
% 1.33/1.50 apply (zenon_L504_); trivial.
% 1.33/1.50 (* end of lemma zenon_L505_ *)
% 1.33/1.50 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H29 zenon_Hea zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_Hb zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He8.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.50 apply (zenon_L197_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.50 apply (zenon_L463_); trivial.
% 1.33/1.50 exact (zenon_He8 zenon_He9).
% 1.33/1.50 (* end of lemma zenon_L506_ *)
% 1.33/1.50 assert (zenon_L507_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_Hb zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.50 apply (zenon_L451_); trivial.
% 1.33/1.50 apply (zenon_L506_); trivial.
% 1.33/1.50 (* end of lemma zenon_L507_ *)
% 1.33/1.50 assert (zenon_L508_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L507_); trivial.
% 1.33/1.50 apply (zenon_L230_); trivial.
% 1.33/1.50 (* end of lemma zenon_L508_ *)
% 1.33/1.50 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.50 apply (zenon_L161_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L116_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L509_ *)
% 1.33/1.50 assert (zenon_L510_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H2a zenon_Hef.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.50 apply (zenon_L508_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L507_); trivial.
% 1.33/1.50 apply (zenon_L509_); trivial.
% 1.33/1.50 apply (zenon_L232_); trivial.
% 1.33/1.50 (* end of lemma zenon_L510_ *)
% 1.33/1.50 assert (zenon_L511_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L510_); trivial.
% 1.33/1.50 apply (zenon_L504_); trivial.
% 1.33/1.50 (* end of lemma zenon_L511_ *)
% 1.33/1.50 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H178 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L440_); trivial.
% 1.33/1.50 apply (zenon_L504_); trivial.
% 1.33/1.50 (* end of lemma zenon_L512_ *)
% 1.33/1.50 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L155_); trivial.
% 1.33/1.50 apply (zenon_L504_); trivial.
% 1.33/1.50 (* end of lemma zenon_L513_ *)
% 1.33/1.50 assert (zenon_L514_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_H5 zenon_H1c2 zenon_H86 zenon_H185 zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H163 zenon_H2e zenon_Hea zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He4 zenon_H16e zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_H124 zenon_H165 zenon_H18b.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L505_); trivial.
% 1.33/1.50 apply (zenon_L511_); trivial.
% 1.33/1.50 apply (zenon_L512_); trivial.
% 1.33/1.50 apply (zenon_L513_); trivial.
% 1.33/1.50 (* end of lemma zenon_L514_ *)
% 1.33/1.50 assert (zenon_L515_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.50 apply (zenon_L493_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.50 apply (zenon_L494_); trivial.
% 1.33/1.50 apply (zenon_L513_); trivial.
% 1.33/1.50 (* end of lemma zenon_L515_ *)
% 1.33/1.50 assert (zenon_L516_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H153 zenon_H155 zenon_H138.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.50 apply (zenon_L424_); trivial.
% 1.33/1.50 apply (zenon_L262_); trivial.
% 1.33/1.50 (* end of lemma zenon_L516_ *)
% 1.33/1.50 assert (zenon_L517_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H81 zenon_H209 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.33/1.50 apply (zenon_L421_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.33/1.50 apply (zenon_L279_); trivial.
% 1.33/1.50 exact (zenon_H207 zenon_H208).
% 1.33/1.50 (* end of lemma zenon_L517_ *)
% 1.33/1.50 assert (zenon_L518_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.50 apply (zenon_L55_); trivial.
% 1.33/1.50 apply (zenon_L517_); trivial.
% 1.33/1.50 (* end of lemma zenon_L518_ *)
% 1.33/1.50 assert (zenon_L519_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L518_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.50 apply (zenon_L80_); trivial.
% 1.33/1.50 apply (zenon_L517_); trivial.
% 1.33/1.50 (* end of lemma zenon_L519_ *)
% 1.33/1.50 assert (zenon_L520_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.50 apply (zenon_L46_); trivial.
% 1.33/1.50 apply (zenon_L473_); trivial.
% 1.33/1.50 (* end of lemma zenon_L520_ *)
% 1.33/1.50 assert (zenon_L521_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.50 apply (zenon_L475_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L520_); trivial.
% 1.33/1.50 apply (zenon_L182_); trivial.
% 1.33/1.50 apply (zenon_L140_); trivial.
% 1.33/1.50 apply (zenon_L120_); trivial.
% 1.33/1.50 (* end of lemma zenon_L521_ *)
% 1.33/1.50 assert (zenon_L522_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L521_); trivial.
% 1.33/1.50 apply (zenon_L215_); trivial.
% 1.33/1.50 (* end of lemma zenon_L522_ *)
% 1.33/1.50 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H29 zenon_H23b zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.33/1.50 apply (zenon_L197_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L279_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L523_ *)
% 1.33/1.50 assert (zenon_L524_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.50 apply (zenon_L451_); trivial.
% 1.33/1.50 apply (zenon_L523_); trivial.
% 1.33/1.50 (* end of lemma zenon_L524_ *)
% 1.33/1.50 assert (zenon_L525_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H138 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L522_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L524_); trivial.
% 1.33/1.50 apply (zenon_L215_); trivial.
% 1.33/1.50 (* end of lemma zenon_L525_ *)
% 1.33/1.50 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L518_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.50 apply (zenon_L218_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.50 apply (zenon_L480_); trivial.
% 1.33/1.50 apply (zenon_L517_); trivial.
% 1.33/1.50 (* end of lemma zenon_L526_ *)
% 1.33/1.50 assert (zenon_L527_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_Hb.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ].
% 1.33/1.50 apply (zenon_L108_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ].
% 1.33/1.50 apply (zenon_L432_); trivial.
% 1.33/1.50 exact (zenon_Hb zenon_Hc).
% 1.33/1.50 (* end of lemma zenon_L527_ *)
% 1.33/1.50 assert (zenon_L528_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H65 zenon_H12 zenon_H1fa zenon_H1f6 zenon_H1f5.
% 1.33/1.50 generalize (zenon_H65 (a803)). zenon_intro zenon_H277.
% 1.33/1.50 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H11 | zenon_intro zenon_H278 ].
% 1.33/1.50 exact (zenon_H11 zenon_H12).
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1f9 ].
% 1.33/1.50 exact (zenon_H1fa zenon_H1fe).
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ].
% 1.33/1.50 exact (zenon_H201 zenon_H1f6).
% 1.33/1.50 exact (zenon_H1ff zenon_H1f5).
% 1.33/1.50 (* end of lemma zenon_L528_ *)
% 1.33/1.50 assert (zenon_L529_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1d zenon_H12 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.33/1.50 generalize (zenon_H1d (a803)). zenon_intro zenon_H1f7.
% 1.33/1.50 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ].
% 1.33/1.50 exact (zenon_H11 zenon_H12).
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ].
% 1.33/1.50 apply (zenon_L528_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ].
% 1.33/1.50 exact (zenon_H201 zenon_H1f6).
% 1.33/1.50 exact (zenon_H1ff zenon_H1f5).
% 1.33/1.50 (* end of lemma zenon_L529_ *)
% 1.33/1.50 assert (zenon_L530_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_Hb.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.33/1.50 apply (zenon_L527_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.33/1.50 apply (zenon_L529_); trivial.
% 1.33/1.50 exact (zenon_Hb zenon_Hc).
% 1.33/1.50 (* end of lemma zenon_L530_ *)
% 1.33/1.50 assert (zenon_L531_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H7e zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_Hb zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H55.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.50 apply (zenon_L530_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.50 apply (zenon_L527_); trivial.
% 1.33/1.50 exact (zenon_H55 zenon_H56).
% 1.33/1.50 (* end of lemma zenon_L531_ *)
% 1.33/1.50 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L531_); trivial.
% 1.33/1.50 apply (zenon_L444_); trivial.
% 1.33/1.50 (* end of lemma zenon_L532_ *)
% 1.33/1.50 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H231 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.50 apply (zenon_L441_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L440_); trivial.
% 1.33/1.50 apply (zenon_L532_); trivial.
% 1.33/1.50 (* end of lemma zenon_L533_ *)
% 1.33/1.50 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_Hea zenon_He6 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hac zenon_H124 zenon_Hd4 zenon_H185 zenon_H133 zenon_H1bc zenon_H231 zenon_H1ca zenon_H18b.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.50 apply (zenon_L269_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L437_); trivial.
% 1.33/1.50 apply (zenon_L268_); trivial.
% 1.33/1.50 apply (zenon_L533_); trivial.
% 1.33/1.50 apply (zenon_L270_); trivial.
% 1.33/1.50 (* end of lemma zenon_L534_ *)
% 1.33/1.50 assert (zenon_L535_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H23b zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.33/1.50 apply (zenon_L72_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.33/1.50 apply (zenon_L279_); trivial.
% 1.33/1.50 apply (zenon_L229_); trivial.
% 1.33/1.50 (* end of lemma zenon_L535_ *)
% 1.33/1.50 assert (zenon_L536_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H12 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd7 zenon_Hd9 zenon_H23b zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.50 apply (zenon_L188_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.33/1.50 apply (zenon_L144_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.33/1.50 apply (zenon_L432_); trivial.
% 1.33/1.50 apply (zenon_L535_); trivial.
% 1.33/1.50 exact (zenon_H55 zenon_H56).
% 1.33/1.50 (* end of lemma zenon_L536_ *)
% 1.33/1.50 assert (zenon_L537_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H155 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1c0 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.33/1.50 apply (zenon_L536_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.33/1.50 apply (zenon_L420_); trivial.
% 1.33/1.50 exact (zenon_H153 zenon_H154).
% 1.33/1.50 (* end of lemma zenon_L537_ *)
% 1.33/1.50 assert (zenon_L538_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Haa zenon_H55 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1dd zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.50 apply (zenon_L536_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.50 apply (zenon_L190_); trivial.
% 1.33/1.50 apply (zenon_L191_); trivial.
% 1.33/1.50 (* end of lemma zenon_L538_ *)
% 1.33/1.50 assert (zenon_L539_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c0_1 (a806)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H148 zenon_Hf0 zenon_H147 zenon_H153 zenon_H7e zenon_H1dd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H55 zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.33/1.50 apply (zenon_L537_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.33/1.50 apply (zenon_L538_); trivial.
% 1.33/1.50 apply (zenon_L72_); trivial.
% 1.33/1.50 (* end of lemma zenon_L539_ *)
% 1.33/1.50 assert (zenon_L540_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_Haa zenon_H55 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1dd zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_H103 zenon_H1be.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.50 apply (zenon_L537_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.50 apply (zenon_L539_); trivial.
% 1.33/1.50 exact (zenon_H1be zenon_H1bf).
% 1.33/1.50 (* end of lemma zenon_L540_ *)
% 1.33/1.50 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H207 zenon_H209 zenon_H155 zenon_H153 zenon_H1c0 zenon_H1be zenon_H119 zenon_Hd7 zenon_Hd9 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H103 zenon_H148 zenon_H147 zenon_Haa zenon_H21d zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.50 apply (zenon_L26_); trivial.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.33/1.50 apply (zenon_L540_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.33/1.50 apply (zenon_L539_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.33/1.50 apply (zenon_L279_); trivial.
% 1.33/1.50 exact (zenon_H207 zenon_H208).
% 1.33/1.50 exact (zenon_H5 zenon_H6).
% 1.33/1.50 (* end of lemma zenon_L541_ *)
% 1.33/1.50 assert (zenon_L542_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H1c4 zenon_H207 zenon_H209 zenon_H155 zenon_H153 zenon_H1c0 zenon_H1be zenon_H119 zenon_H7e zenon_H103 zenon_H148 zenon_H147 zenon_Haa zenon_H21d zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.50 apply (zenon_L524_); trivial.
% 1.33/1.50 apply (zenon_L541_); trivial.
% 1.33/1.50 (* end of lemma zenon_L542_ *)
% 1.33/1.50 assert (zenon_L543_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_Haa zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.50 apply (zenon_L266_); trivial.
% 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.50 apply (zenon_L66_); trivial.
% 1.33/1.50 apply (zenon_L175_); trivial.
% 1.33/1.50 (* end of lemma zenon_L543_ *)
% 1.33/1.50 assert (zenon_L544_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.33/1.50 do 0 intro. intros zenon_H129 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.33/1.50 generalize (zenon_H129 (a803)). zenon_intro zenon_H279.
% 1.33/1.50 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_H11 | zenon_intro zenon_H27a ].
% 1.33/1.50 exact (zenon_H11 zenon_H12).
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H200 | zenon_intro zenon_H27b ].
% 1.33/1.50 exact (zenon_H1f4 zenon_H200).
% 1.33/1.50 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1fa | zenon_intro zenon_H201 ].
% 1.33/1.50 apply (zenon_L528_); trivial.
% 1.33/1.50 exact (zenon_H201 zenon_H1f6).
% 1.33/1.50 (* end of lemma zenon_L544_ *)
% 1.33/1.50 assert (zenon_L545_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.33/1.51 apply (zenon_L222_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.33/1.51 apply (zenon_L64_); trivial.
% 1.33/1.51 apply (zenon_L544_); trivial.
% 1.33/1.51 (* end of lemma zenon_L545_ *)
% 1.33/1.51 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H11d zenon_Haa zenon_He4 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.51 apply (zenon_L145_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.51 apply (zenon_L545_); trivial.
% 1.33/1.51 apply (zenon_L361_); trivial.
% 1.33/1.51 (* end of lemma zenon_L546_ *)
% 1.33/1.51 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H1ca zenon_H231 zenon_H185 zenon_H86 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H16e zenon_He4 zenon_Hac zenon_H124 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_L493_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_L494_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L155_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.51 apply (zenon_L543_); trivial.
% 1.33/1.51 apply (zenon_L267_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L155_); trivial.
% 1.33/1.51 apply (zenon_L546_); trivial.
% 1.33/1.51 (* end of lemma zenon_L547_ *)
% 1.33/1.51 assert (zenon_L548_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H18a zenon_H124 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H155 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H108 zenon_H23b zenon_H1dd zenon_H5 zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H21d zenon_H103 zenon_H119 zenon_H1c4 zenon_H138 zenon_H18b zenon_H1ca zenon_H231 zenon_H133 zenon_Hd4 zenon_Hac zenon_H88 zenon_H165 zenon_H16f zenon_He4 zenon_H16e zenon_He6 zenon_Hea zenon_H1d9.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_L289_); trivial.
% 1.33/1.51 apply (zenon_L542_); trivial.
% 1.33/1.51 apply (zenon_L290_); trivial.
% 1.33/1.51 apply (zenon_L534_); trivial.
% 1.33/1.51 apply (zenon_L547_); trivial.
% 1.33/1.51 (* end of lemma zenon_L548_ *)
% 1.33/1.51 assert (zenon_L549_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H10f zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.33/1.51 generalize (zenon_H10f (a803)). zenon_intro zenon_H27c.
% 1.33/1.51 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H11 | zenon_intro zenon_H27d ].
% 1.33/1.51 exact (zenon_H11 zenon_H12).
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H200 | zenon_intro zenon_H27e ].
% 1.33/1.51 exact (zenon_H1f4 zenon_H200).
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1ff ].
% 1.33/1.51 apply (zenon_L528_); trivial.
% 1.33/1.51 exact (zenon_H1ff zenon_H1f5).
% 1.33/1.51 (* end of lemma zenon_L549_ *)
% 1.33/1.51 assert (zenon_L550_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H1f4 zenon_H12 zenon_Hb.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ].
% 1.33/1.51 apply (zenon_L544_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ].
% 1.33/1.51 apply (zenon_L549_); trivial.
% 1.33/1.51 exact (zenon_Hb zenon_Hc).
% 1.33/1.51 (* end of lemma zenon_L550_ *)
% 1.33/1.51 assert (zenon_L551_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp28)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hb zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.51 apply (zenon_L161_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.51 apply (zenon_L550_); trivial.
% 1.33/1.51 apply (zenon_L229_); trivial.
% 1.33/1.51 (* end of lemma zenon_L551_ *)
% 1.33/1.51 assert (zenon_L552_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H161 zenon_H3 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L551_); trivial.
% 1.33/1.51 apply (zenon_L230_); trivial.
% 1.33/1.51 (* end of lemma zenon_L552_ *)
% 1.33/1.51 assert (zenon_L553_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H108 zenon_H40 zenon_H161 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_H54 zenon_Hef.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L552_); trivial.
% 1.33/1.51 apply (zenon_L140_); trivial.
% 1.33/1.51 apply (zenon_L232_); trivial.
% 1.33/1.51 (* end of lemma zenon_L553_ *)
% 1.33/1.51 assert (zenon_L554_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1c2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H5.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.33/1.51 apply (zenon_L535_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.33/1.51 apply (zenon_L529_); trivial.
% 1.33/1.51 exact (zenon_H5 zenon_H6).
% 1.33/1.51 (* end of lemma zenon_L554_ *)
% 1.33/1.51 assert (zenon_L555_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.33/1.51 apply (zenon_L161_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.33/1.51 apply (zenon_L554_); trivial.
% 1.33/1.51 apply (zenon_L229_); trivial.
% 1.33/1.51 (* end of lemma zenon_L555_ *)
% 1.33/1.51 assert (zenon_L556_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L553_); trivial.
% 1.33/1.51 apply (zenon_L235_); trivial.
% 1.33/1.51 apply (zenon_L555_); trivial.
% 1.33/1.51 apply (zenon_L241_); trivial.
% 1.33/1.51 (* end of lemma zenon_L556_ *)
% 1.33/1.51 assert (zenon_L557_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1e6 zenon_H1d9 zenon_He4 zenon_H16e zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H108 zenon_H40 zenon_H163 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_L556_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L553_); trivial.
% 1.33/1.51 apply (zenon_L504_); trivial.
% 1.33/1.51 apply (zenon_L555_); trivial.
% 1.33/1.51 apply (zenon_L513_); trivial.
% 1.33/1.51 (* end of lemma zenon_L557_ *)
% 1.33/1.51 assert (zenon_L558_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (~(hskp15)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hea zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H44 zenon_H43 zenon_H12 zenon_H73 zenon_He8.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L298_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L100_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 (* end of lemma zenon_L558_ *)
% 1.33/1.51 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_Hea.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.51 apply (zenon_L136_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.51 apply (zenon_L558_); trivial.
% 1.33/1.51 apply (zenon_L19_); trivial.
% 1.33/1.51 (* end of lemma zenon_L559_ *)
% 1.33/1.51 assert (zenon_L560_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.51 apply (zenon_L27_); trivial.
% 1.33/1.51 apply (zenon_L559_); trivial.
% 1.33/1.51 (* end of lemma zenon_L560_ *)
% 1.33/1.51 assert (zenon_L561_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp25)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H88 zenon_H84 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.51 apply (zenon_L451_); trivial.
% 1.33/1.51 apply (zenon_L42_); trivial.
% 1.33/1.51 (* end of lemma zenon_L561_ *)
% 1.33/1.51 assert (zenon_L562_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.33/1.51 apply (zenon_L297_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.33/1.51 apply (zenon_L384_); trivial.
% 1.33/1.51 apply (zenon_L11_); trivial.
% 1.33/1.51 (* end of lemma zenon_L562_ *)
% 1.33/1.51 assert (zenon_L563_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H165 zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H133 zenon_Hb zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.51 apply (zenon_L451_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.33/1.51 apply (zenon_L136_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L562_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L462_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 apply (zenon_L439_); trivial.
% 1.33/1.51 (* end of lemma zenon_L563_ *)
% 1.33/1.51 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H29 zenon_Hea zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_He8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L562_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L15_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 (* end of lemma zenon_L564_ *)
% 1.33/1.51 assert (zenon_L565_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H40 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.51 apply (zenon_L561_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L563_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.51 apply (zenon_L451_); trivial.
% 1.33/1.51 apply (zenon_L564_); trivial.
% 1.33/1.51 (* end of lemma zenon_L565_ *)
% 1.33/1.51 assert (zenon_L566_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.51 apply (zenon_L66_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.51 apply (zenon_L433_); trivial.
% 1.33/1.51 exact (zenon_H55 zenon_H56).
% 1.33/1.51 (* end of lemma zenon_L566_ *)
% 1.33/1.51 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L566_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L15_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 (* end of lemma zenon_L567_ *)
% 1.33/1.51 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H11d zenon_H40 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L26_); trivial.
% 1.33/1.51 apply (zenon_L567_); trivial.
% 1.33/1.51 (* end of lemma zenon_L568_ *)
% 1.33/1.51 assert (zenon_L569_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H20f zenon_H210 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.33/1.51 apply (zenon_L307_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.33/1.51 apply (zenon_L141_); trivial.
% 1.33/1.51 apply (zenon_L108_); trivial.
% 1.33/1.51 (* end of lemma zenon_L569_ *)
% 1.33/1.51 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H3b zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H158 zenon_H159 zenon_H15a zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_He8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L569_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L15_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 (* end of lemma zenon_L570_ *)
% 1.33/1.51 assert (zenon_L571_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L26_); trivial.
% 1.33/1.51 apply (zenon_L570_); trivial.
% 1.33/1.51 (* end of lemma zenon_L571_ *)
% 1.33/1.51 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H18c zenon_H18b zenon_H11e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H133 zenon_Hac zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_L560_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L565_); trivial.
% 1.33/1.51 apply (zenon_L568_); trivial.
% 1.33/1.51 apply (zenon_L571_); trivial.
% 1.33/1.51 apply (zenon_L449_); trivial.
% 1.33/1.51 (* end of lemma zenon_L572_ *)
% 1.33/1.51 assert (zenon_L573_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L155_); trivial.
% 1.33/1.51 apply (zenon_L568_); trivial.
% 1.33/1.51 (* end of lemma zenon_L573_ *)
% 1.33/1.51 assert (zenon_L574_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1ca zenon_H231 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_Hd4 zenon_H124 zenon_H138.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_L560_); trivial.
% 1.33/1.51 apply (zenon_L573_); trivial.
% 1.33/1.51 apply (zenon_L571_); trivial.
% 1.33/1.51 (* end of lemma zenon_L574_ *)
% 1.33/1.51 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.51 apply (zenon_L216_); trivial.
% 1.33/1.51 apply (zenon_L448_); trivial.
% 1.33/1.51 (* end of lemma zenon_L575_ *)
% 1.33/1.51 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.51 apply (zenon_L574_); trivial.
% 1.33/1.51 apply (zenon_L575_); trivial.
% 1.33/1.51 (* end of lemma zenon_L576_ *)
% 1.33/1.51 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_L493_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_L494_); trivial.
% 1.33/1.51 apply (zenon_L576_); trivial.
% 1.33/1.51 (* end of lemma zenon_L577_ *)
% 1.33/1.51 assert (zenon_L578_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1ac zenon_H20b zenon_H1d6 zenon_H1c0 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_Hac zenon_H88 zenon_H18a zenon_H138 zenon_Hea zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H124 zenon_Hd4 zenon_Hef zenon_H7e zenon_H2a zenon_H185 zenon_H86 zenon_H8c zenon_H163 zenon_H2e zenon_H108 zenon_Hf zenon_H1bc zenon_H1c8 zenon_H1c6 zenon_H133 zenon_H11e zenon_H1ca zenon_H18b zenon_H231 zenon_H10b zenon_Haa zenon_H165 zenon_H16f zenon_H16e zenon_H119 zenon_H1d9.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.33/1.51 apply (zenon_L482_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_L338_); trivial.
% 1.33/1.51 apply (zenon_L572_); trivial.
% 1.33/1.51 apply (zenon_L577_); trivial.
% 1.33/1.51 (* end of lemma zenon_L578_ *)
% 1.33/1.51 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H29 zenon_Hea zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_Hb zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.33/1.51 apply (zenon_L562_); trivial.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.33/1.51 apply (zenon_L463_); trivial.
% 1.33/1.51 exact (zenon_He8 zenon_He9).
% 1.33/1.51 (* end of lemma zenon_L579_ *)
% 1.33/1.51 assert (zenon_L580_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.51 apply (zenon_L8_); trivial.
% 1.33/1.51 apply (zenon_L579_); trivial.
% 1.33/1.51 apply (zenon_L17_); trivial.
% 1.33/1.51 (* end of lemma zenon_L580_ *)
% 1.33/1.51 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L343_); trivial.
% 1.33/1.51 apply (zenon_L230_); trivial.
% 1.33/1.51 (* end of lemma zenon_L581_ *)
% 1.33/1.51 assert (zenon_L582_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.51 apply (zenon_L561_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.51 apply (zenon_L580_); trivial.
% 1.33/1.51 apply (zenon_L581_); trivial.
% 1.33/1.51 (* end of lemma zenon_L582_ *)
% 1.33/1.51 assert (zenon_L583_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L582_); trivial.
% 1.33/1.51 apply (zenon_L140_); trivial.
% 1.33/1.51 apply (zenon_L232_); trivial.
% 1.33/1.51 (* end of lemma zenon_L583_ *)
% 1.33/1.51 assert (zenon_L584_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H124 zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H2a zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H71 zenon_H210 zenon_H20f zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_Hac zenon_H108.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L583_); trivial.
% 1.33/1.51 apply (zenon_L500_); trivial.
% 1.33/1.51 (* end of lemma zenon_L584_ *)
% 1.33/1.51 assert (zenon_L585_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H1e4 zenon_Hef zenon_H2a zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L510_); trivial.
% 1.33/1.51 apply (zenon_L235_); trivial.
% 1.33/1.51 (* end of lemma zenon_L585_ *)
% 1.33/1.51 assert (zenon_L586_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.51 apply (zenon_L451_); trivial.
% 1.33/1.51 apply (zenon_L473_); trivial.
% 1.33/1.51 (* end of lemma zenon_L586_ *)
% 1.33/1.51 assert (zenon_L587_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L586_); trivial.
% 1.33/1.51 apply (zenon_L230_); trivial.
% 1.33/1.51 (* end of lemma zenon_L587_ *)
% 1.33/1.51 assert (zenon_L588_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hec zenon_H40 zenon_H16f zenon_H27 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L586_); trivial.
% 1.33/1.51 apply (zenon_L312_); trivial.
% 1.33/1.51 (* end of lemma zenon_L588_ *)
% 1.33/1.51 assert (zenon_L589_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H236 zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H22d zenon_H22f.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L318_); trivial.
% 1.33/1.51 apply (zenon_L215_); trivial.
% 1.33/1.51 (* end of lemma zenon_L589_ *)
% 1.33/1.51 assert (zenon_L590_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H109 zenon_H10b zenon_H54 zenon_Hef.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L587_); trivial.
% 1.33/1.51 apply (zenon_L273_); trivial.
% 1.33/1.51 apply (zenon_L232_); trivial.
% 1.33/1.51 (* end of lemma zenon_L590_ *)
% 1.33/1.51 assert (zenon_L591_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L109_); trivial.
% 1.33/1.51 apply (zenon_L230_); trivial.
% 1.33/1.51 (* end of lemma zenon_L591_ *)
% 1.33/1.51 assert (zenon_L592_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H124 zenon_H153 zenon_H1e4 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_H16f zenon_H71 zenon_H210 zenon_H20f zenon_H21f zenon_H221 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H11e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.51 apply (zenon_L590_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L591_); trivial.
% 1.33/1.51 apply (zenon_L588_); trivial.
% 1.33/1.51 apply (zenon_L120_); trivial.
% 1.33/1.51 apply (zenon_L235_); trivial.
% 1.33/1.51 (* end of lemma zenon_L592_ *)
% 1.33/1.51 assert (zenon_L593_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H236 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H86 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H22d zenon_H22f.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L318_); trivial.
% 1.33/1.51 apply (zenon_L235_); trivial.
% 1.33/1.51 (* end of lemma zenon_L593_ *)
% 1.33/1.51 assert (zenon_L594_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H54 zenon_H10b zenon_H1e4 zenon_H153 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hef zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H221 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H22f zenon_H22d zenon_H235.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L587_); trivial.
% 1.33/1.51 apply (zenon_L588_); trivial.
% 1.33/1.51 apply (zenon_L232_); trivial.
% 1.33/1.51 apply (zenon_L215_); trivial.
% 1.33/1.51 apply (zenon_L589_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.33/1.51 apply (zenon_L592_); trivial.
% 1.33/1.51 apply (zenon_L593_); trivial.
% 1.33/1.51 (* end of lemma zenon_L594_ *)
% 1.33/1.51 assert (zenon_L595_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.51 apply (zenon_L561_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L563_); trivial.
% 1.33/1.51 apply (zenon_L230_); trivial.
% 1.33/1.51 (* end of lemma zenon_L595_ *)
% 1.33/1.51 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_Hec zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.51 apply (zenon_L561_); trivial.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.51 apply (zenon_L563_); trivial.
% 1.33/1.51 apply (zenon_L509_); trivial.
% 1.33/1.51 (* end of lemma zenon_L596_ *)
% 1.33/1.51 assert (zenon_L597_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H108 zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.33/1.51 apply (zenon_L595_); trivial.
% 1.33/1.51 apply (zenon_L596_); trivial.
% 1.33/1.51 apply (zenon_L232_); trivial.
% 1.33/1.51 (* end of lemma zenon_L597_ *)
% 1.33/1.51 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H18c zenon_H18a zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_Hea zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_Hac zenon_H108 zenon_H18b.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.51 apply (zenon_L597_); trivial.
% 1.33/1.51 apply (zenon_L504_); trivial.
% 1.33/1.51 apply (zenon_L512_); trivial.
% 1.33/1.51 apply (zenon_L513_); trivial.
% 1.33/1.51 (* end of lemma zenon_L598_ *)
% 1.33/1.51 assert (zenon_L599_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.33/1.51 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H1d6 zenon_H18a zenon_H138 zenon_H1e4 zenon_H5 zenon_H1c2 zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H11e zenon_H1ca zenon_H18b zenon_H165 zenon_H16e zenon_He4 zenon_H1d9.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.51 apply (zenon_L584_); trivial.
% 1.33/1.51 apply (zenon_L585_); trivial.
% 1.33/1.51 apply (zenon_L594_); trivial.
% 1.33/1.51 apply (zenon_L241_); trivial.
% 1.33/1.51 apply (zenon_L598_); trivial.
% 1.33/1.51 apply (zenon_L515_); trivial.
% 1.33/1.51 (* end of lemma zenon_L599_ *)
% 1.33/1.51 assert (zenon_L600_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H39 zenon_H109 zenon_H10b.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L91_); trivial.
% 1.33/1.52 apply (zenon_L376_); trivial.
% 1.33/1.52 (* end of lemma zenon_L600_ *)
% 1.33/1.52 assert (zenon_L601_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_L600_); trivial.
% 1.33/1.52 apply (zenon_L559_); trivial.
% 1.33/1.52 (* end of lemma zenon_L601_ *)
% 1.33/1.52 assert (zenon_L602_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.52 apply (zenon_L601_); trivial.
% 1.33/1.52 apply (zenon_L255_); trivial.
% 1.33/1.52 (* end of lemma zenon_L602_ *)
% 1.33/1.52 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_H5 zenon_H1c4 zenon_He4 zenon_H142 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L602_); trivial.
% 1.33/1.52 apply (zenon_L260_); trivial.
% 1.33/1.52 (* end of lemma zenon_L603_ *)
% 1.33/1.52 assert (zenon_L604_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H138 zenon_He6 zenon_H5 zenon_H1c4 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H11e zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L419_); trivial.
% 1.33/1.52 apply (zenon_L603_); trivial.
% 1.33/1.52 (* end of lemma zenon_L604_ *)
% 1.33/1.52 assert (zenon_L605_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.33/1.52 apply (zenon_L28_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.33/1.52 apply (zenon_L384_); trivial.
% 1.33/1.52 apply (zenon_L257_); trivial.
% 1.33/1.52 (* end of lemma zenon_L605_ *)
% 1.33/1.52 assert (zenon_L606_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H23b zenon_H97 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.33/1.52 apply (zenon_L605_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.33/1.52 apply (zenon_L279_); trivial.
% 1.33/1.52 apply (zenon_L229_); trivial.
% 1.33/1.52 (* end of lemma zenon_L606_ *)
% 1.33/1.52 assert (zenon_L607_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H81 zenon_H54 zenon_H21d zenon_H1be zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_L580_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L343_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.52 apply (zenon_L606_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.52 apply (zenon_L386_); trivial.
% 1.33/1.52 exact (zenon_H1be zenon_H1bf).
% 1.33/1.52 (* end of lemma zenon_L607_ *)
% 1.33/1.52 assert (zenon_L608_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H23b zenon_H1dd zenon_H80 zenon_Hac.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_L382_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.52 apply (zenon_L55_); trivial.
% 1.33/1.52 apply (zenon_L607_); trivial.
% 1.33/1.52 apply (zenon_L391_); trivial.
% 1.33/1.52 (* end of lemma zenon_L608_ *)
% 1.33/1.52 assert (zenon_L609_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.52 apply (zenon_L286_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.52 apply (zenon_L302_); trivial.
% 1.33/1.52 apply (zenon_L350_); trivial.
% 1.33/1.52 (* end of lemma zenon_L609_ *)
% 1.33/1.52 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp1)) -> (~(hskp25)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H21d zenon_H86 zenon_H84 zenon_H88 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H231 zenon_H71 zenon_H210 zenon_H20f zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1be.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.52 apply (zenon_L266_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.52 apply (zenon_L609_); trivial.
% 1.33/1.52 exact (zenon_H1be zenon_H1bf).
% 1.33/1.52 (* end of lemma zenon_L610_ *)
% 1.33/1.52 assert (zenon_L611_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_L44_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L343_); trivial.
% 1.33/1.52 apply (zenon_L610_); trivial.
% 1.33/1.52 (* end of lemma zenon_L611_ *)
% 1.33/1.52 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a806)) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H21d zenon_H1dd zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H231 zenon_H71 zenon_H210 zenon_H20f zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1be.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.52 apply (zenon_L389_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.52 apply (zenon_L609_); trivial.
% 1.33/1.52 exact (zenon_H1be zenon_H1bf).
% 1.33/1.52 (* end of lemma zenon_L612_ *)
% 1.33/1.52 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L343_); trivial.
% 1.33/1.52 apply (zenon_L612_); trivial.
% 1.33/1.52 (* end of lemma zenon_L613_ *)
% 1.33/1.52 assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H1be zenon_H1c0 zenon_H21d zenon_H54.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_L611_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_L580_); trivial.
% 1.33/1.52 apply (zenon_L613_); trivial.
% 1.33/1.52 (* end of lemma zenon_L614_ *)
% 1.33/1.52 assert (zenon_L615_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H236 zenon_H138 zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H40 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L370_); trivial.
% 1.33/1.52 apply (zenon_L391_); trivial.
% 1.33/1.52 (* end of lemma zenon_L615_ *)
% 1.33/1.52 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H239 zenon_H124 zenon_Hac zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H86 zenon_H88 zenon_Hea zenon_He8 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H231 zenon_H1be zenon_H1c0 zenon_H21d zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H16f zenon_H108 zenon_H103 zenon_H138.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.33/1.52 apply (zenon_L185_); trivial.
% 1.33/1.52 apply (zenon_L314_); trivial.
% 1.33/1.52 apply (zenon_L614_); trivial.
% 1.33/1.52 apply (zenon_L391_); trivial.
% 1.33/1.52 apply (zenon_L615_); trivial.
% 1.33/1.52 (* end of lemma zenon_L616_ *)
% 1.33/1.52 assert (zenon_L617_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L26_); trivial.
% 1.33/1.52 apply (zenon_L610_); trivial.
% 1.33/1.52 (* end of lemma zenon_L617_ *)
% 1.33/1.52 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1dd zenon_H23b zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_L617_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L474_); trivial.
% 1.33/1.52 apply (zenon_L612_); trivial.
% 1.33/1.52 (* end of lemma zenon_L618_ *)
% 1.33/1.52 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hac zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H23b zenon_H1dd zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.52 apply (zenon_L218_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_L617_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L109_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.52 apply (zenon_L537_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.52 apply (zenon_L386_); trivial.
% 1.33/1.52 exact (zenon_H1be zenon_H1bf).
% 1.33/1.52 (* end of lemma zenon_L619_ *)
% 1.33/1.52 assert (zenon_L620_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H1bc zenon_Hf zenon_H23b zenon_H1dd zenon_Hac zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_H40 zenon_Hef zenon_Hd4 zenon_H124.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.52 apply (zenon_L472_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L471_); trivial.
% 1.33/1.52 apply (zenon_L618_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L471_); trivial.
% 1.33/1.52 apply (zenon_L619_); trivial.
% 1.33/1.52 (* end of lemma zenon_L620_ *)
% 1.33/1.52 assert (zenon_L621_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_Haa zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H23b zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.33/1.52 apply (zenon_L606_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.33/1.52 apply (zenon_L325_); trivial.
% 1.33/1.52 apply (zenon_L52_); trivial.
% 1.33/1.52 (* end of lemma zenon_L621_ *)
% 1.33/1.52 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.33/1.52 apply (zenon_L621_); trivial.
% 1.33/1.52 apply (zenon_L68_); trivial.
% 1.33/1.52 (* end of lemma zenon_L622_ *)
% 1.33/1.52 assert (zenon_L623_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H124 zenon_Hac zenon_H80 zenon_Hc2 zenon_H7e zenon_H23b zenon_H1dd zenon_H71 zenon_H233 zenon_H40 zenon_H3c zenon_Hd zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L155_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_L543_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.52 apply (zenon_L55_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_L27_); trivial.
% 1.33/1.52 apply (zenon_L622_); trivial.
% 1.33/1.52 (* end of lemma zenon_L623_ *)
% 1.33/1.52 assert (zenon_L624_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H103 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H3c zenon_H40 zenon_H233 zenon_H71 zenon_H1dd zenon_H23b zenon_H7e zenon_Hc2 zenon_H80 zenon_Hac zenon_H124.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L623_); trivial.
% 1.33/1.52 apply (zenon_L391_); trivial.
% 1.33/1.52 (* end of lemma zenon_L624_ *)
% 1.33/1.52 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H103 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H54 zenon_H21d zenon_H1c0 zenon_H1be zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H23b zenon_H1dd zenon_Hac zenon_H124.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L155_); trivial.
% 1.33/1.52 apply (zenon_L614_); trivial.
% 1.33/1.52 apply (zenon_L391_); trivial.
% 1.33/1.52 (* end of lemma zenon_L625_ *)
% 1.33/1.52 assert (zenon_L626_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_Hf zenon_H23b zenon_H1dd zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.52 apply (zenon_L216_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L155_); trivial.
% 1.33/1.52 apply (zenon_L618_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L155_); trivial.
% 1.33/1.52 apply (zenon_L619_); trivial.
% 1.33/1.52 (* end of lemma zenon_L626_ *)
% 1.33/1.52 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H18c zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H4d zenon_H27f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.33/1.52 apply (zenon_L266_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.33/1.52 apply (zenon_L136_); trivial.
% 1.33/1.52 exact (zenon_H4d zenon_H4e).
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.33/1.52 apply (zenon_L389_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.33/1.52 apply (zenon_L136_); trivial.
% 1.33/1.52 exact (zenon_H4d zenon_H4e).
% 1.33/1.52 (* end of lemma zenon_L627_ *)
% 1.33/1.52 assert (zenon_L628_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H4d zenon_H27f zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.52 apply (zenon_L493_); trivial.
% 1.33/1.52 apply (zenon_L627_); trivial.
% 1.33/1.52 (* end of lemma zenon_L628_ *)
% 1.33/1.52 assert (zenon_L629_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1be zenon_H1c0 zenon_H155 zenon_H153 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L584_); trivial.
% 1.33/1.52 apply (zenon_L503_); trivial.
% 1.33/1.52 apply (zenon_L594_); trivial.
% 1.33/1.52 apply (zenon_L241_); trivial.
% 1.33/1.52 (* end of lemma zenon_L629_ *)
% 1.33/1.52 assert (zenon_L630_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H1d6 zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b zenon_H165 zenon_H16e zenon_He4 zenon_H1d9.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.33/1.52 apply (zenon_L629_); trivial.
% 1.33/1.52 apply (zenon_L598_); trivial.
% 1.33/1.52 apply (zenon_L515_); trivial.
% 1.33/1.52 (* end of lemma zenon_L630_ *)
% 1.33/1.52 assert (zenon_L631_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c2_1 (a800))) -> (c3_1 (a800)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H97 zenon_H12 zenon_H244 zenon_H281 zenon_H246.
% 1.33/1.52 generalize (zenon_H97 (a800)). zenon_intro zenon_H282.
% 1.33/1.52 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H11 | zenon_intro zenon_H283 ].
% 1.33/1.52 exact (zenon_H11 zenon_H12).
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24a | zenon_intro zenon_H284 ].
% 1.33/1.52 exact (zenon_H244 zenon_H24a).
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H285 | zenon_intro zenon_H24b ].
% 1.33/1.52 exact (zenon_H281 zenon_H285).
% 1.33/1.52 exact (zenon_H24b zenon_H246).
% 1.33/1.52 (* end of lemma zenon_L631_ *)
% 1.33/1.52 assert (zenon_L632_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H73 zenon_H12 zenon_H245 zenon_H97 zenon_H244 zenon_H246.
% 1.33/1.52 generalize (zenon_H73 (a800)). zenon_intro zenon_H286.
% 1.33/1.52 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ].
% 1.33/1.52 exact (zenon_H11 zenon_H12).
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H24c | zenon_intro zenon_H288 ].
% 1.33/1.52 exact (zenon_H245 zenon_H24c).
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ].
% 1.33/1.52 apply (zenon_L631_); trivial.
% 1.33/1.52 exact (zenon_H24b zenon_H246).
% 1.33/1.52 (* end of lemma zenon_L632_ *)
% 1.33/1.52 assert (zenon_L633_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H12 zenon_H55.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.33/1.52 apply (zenon_L66_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.33/1.52 apply (zenon_L632_); trivial.
% 1.33/1.52 exact (zenon_H55 zenon_H56).
% 1.33/1.52 (* end of lemma zenon_L633_ *)
% 1.33/1.52 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.33/1.52 apply (zenon_L122_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.52 apply (zenon_L633_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.52 apply (zenon_L74_); trivial.
% 1.33/1.52 exact (zenon_H1be zenon_H1bf).
% 1.33/1.52 apply (zenon_L69_); trivial.
% 1.33/1.52 (* end of lemma zenon_L634_ *)
% 1.33/1.52 assert (zenon_L635_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L418_); trivial.
% 1.33/1.52 apply (zenon_L634_); trivial.
% 1.33/1.52 (* end of lemma zenon_L635_ *)
% 1.33/1.52 assert (zenon_L636_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H138 zenon_H246 zenon_H244 zenon_H245 zenon_He6 zenon_H1be zenon_H21d zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L419_); trivial.
% 1.33/1.52 apply (zenon_L635_); trivial.
% 1.33/1.52 (* end of lemma zenon_L636_ *)
% 1.33/1.52 assert (zenon_L637_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hb zenon_Hd zenon_Hf.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.52 apply (zenon_L8_); trivial.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.33/1.52 apply (zenon_L396_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.33/1.52 apply (zenon_L463_); trivial.
% 1.33/1.52 exact (zenon_H125 zenon_H126).
% 1.33/1.52 (* end of lemma zenon_L637_ *)
% 1.33/1.52 assert (zenon_L638_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp7)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H125.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.33/1.52 apply (zenon_L396_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.33/1.52 apply (zenon_L15_); trivial.
% 1.33/1.52 exact (zenon_H125 zenon_H126).
% 1.33/1.52 (* end of lemma zenon_L638_ *)
% 1.33/1.52 assert (zenon_L639_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H40 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L637_); trivial.
% 1.33/1.52 apply (zenon_L638_); trivial.
% 1.33/1.52 (* end of lemma zenon_L639_ *)
% 1.33/1.52 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H121 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12a zenon_H12b zenon_H12c zenon_H133.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L109_); trivial.
% 1.33/1.52 apply (zenon_L638_); trivial.
% 1.33/1.52 (* end of lemma zenon_L640_ *)
% 1.33/1.52 assert (zenon_L641_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c6 zenon_H1c8.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.33/1.52 apply (zenon_L218_); trivial.
% 1.33/1.52 apply (zenon_L640_); trivial.
% 1.33/1.52 (* end of lemma zenon_L641_ *)
% 1.33/1.52 assert (zenon_L642_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H1c6 zenon_H1c8 zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.33/1.52 apply (zenon_L639_); trivial.
% 1.33/1.52 apply (zenon_L641_); trivial.
% 1.33/1.52 (* end of lemma zenon_L642_ *)
% 1.33/1.52 assert (zenon_L643_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H20b zenon_H1d9 zenon_H18a zenon_Haa zenon_H16e zenon_H86 zenon_H185 zenon_H1d6 zenon_H155 zenon_H138 zenon_H246 zenon_H244 zenon_H245 zenon_He6 zenon_H21d zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H1bc zenon_H264 zenon_H133 zenon_H125 zenon_H127 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1ca.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.33/1.52 apply (zenon_L636_); trivial.
% 1.33/1.52 apply (zenon_L642_); trivial.
% 1.33/1.52 apply (zenon_L495_); trivial.
% 1.33/1.52 (* end of lemma zenon_L643_ *)
% 1.33/1.52 assert (zenon_L644_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H57 zenon_H59.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.52 apply (zenon_L26_); trivial.
% 1.33/1.52 apply (zenon_L638_); trivial.
% 1.33/1.52 (* end of lemma zenon_L644_ *)
% 1.33/1.52 assert (zenon_L645_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H1c8 zenon_H1c6 zenon_Hef zenon_H1a2 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H11e.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.33/1.52 apply (zenon_L502_); trivial.
% 1.33/1.52 apply (zenon_L504_); trivial.
% 1.33/1.52 (* end of lemma zenon_L645_ *)
% 1.33/1.52 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp6)) -> False).
% 1.33/1.52 do 0 intro. intros zenon_H289 zenon_H209 zenon_H246 zenon_H245 zenon_H244 zenon_H207.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.33/1.52 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.33/1.52 apply (zenon_L396_); trivial.
% 1.33/1.52 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.33/1.52 apply (zenon_L279_); trivial.
% 1.33/1.52 exact (zenon_H207 zenon_H208).
% 1.33/1.52 (* end of lemma zenon_L646_ *)
% 1.33/1.52 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.53 do 0 intro. intros zenon_Had zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.53 apply (zenon_L580_); trivial.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.53 apply (zenon_L343_); trivial.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.33/1.53 apply (zenon_L46_); trivial.
% 1.33/1.53 apply (zenon_L564_); trivial.
% 1.33/1.53 (* end of lemma zenon_L647_ *)
% 1.33/1.53 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.33/1.53 do 0 intro. intros zenon_H3b zenon_H21d zenon_H55 zenon_H245 zenon_H244 zenon_H246 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.33/1.53 apply (zenon_L633_); trivial.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.33/1.53 apply (zenon_L386_); trivial.
% 1.33/1.53 exact (zenon_H1be zenon_H1bf).
% 1.33/1.53 (* end of lemma zenon_L648_ *)
% 1.33/1.53 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.33/1.53 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.33/1.53 apply (zenon_L343_); trivial.
% 1.33/1.53 apply (zenon_L648_); trivial.
% 1.33/1.53 (* end of lemma zenon_L649_ *)
% 1.33/1.53 assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.33/1.53 do 0 intro. intros zenon_Had zenon_H54 zenon_H21d zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hd4 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.33/1.53 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.33/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.33/1.53 apply (zenon_L27_); trivial.
% 1.33/1.53 apply (zenon_L649_); trivial.
% 1.33/1.53 (* end of lemma zenon_L650_ *)
% 1.33/1.53 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H11d zenon_Hac zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H59 zenon_H57 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.38/1.53 apply (zenon_L382_); trivial.
% 1.38/1.53 apply (zenon_L650_); trivial.
% 1.38/1.53 (* end of lemma zenon_L651_ *)
% 1.38/1.53 assert (zenon_L652_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H138 zenon_H1dd zenon_H23b zenon_H103 zenon_Hac zenon_H8c zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H57 zenon_H59 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_H124.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.38/1.53 apply (zenon_L382_); trivial.
% 1.38/1.53 apply (zenon_L647_); trivial.
% 1.38/1.53 apply (zenon_L651_); trivial.
% 1.38/1.53 apply (zenon_L391_); trivial.
% 1.38/1.53 (* end of lemma zenon_L652_ *)
% 1.38/1.53 assert (zenon_L653_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H20b zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b zenon_H27f zenon_H4d zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H23b zenon_H1d9.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.38/1.53 apply (zenon_L629_); trivial.
% 1.38/1.53 apply (zenon_L627_); trivial.
% 1.38/1.53 apply (zenon_L628_); trivial.
% 1.38/1.53 (* end of lemma zenon_L653_ *)
% 1.38/1.53 assert (zenon_L654_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H163 zenon_H161 zenon_H40.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.38/1.53 apply (zenon_L552_); trivial.
% 1.38/1.53 apply (zenon_L170_); trivial.
% 1.38/1.53 (* end of lemma zenon_L654_ *)
% 1.38/1.53 assert (zenon_L655_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H18a zenon_H124 zenon_H153 zenon_H1e4 zenon_H86 zenon_H185 zenon_H40 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.38/1.53 apply (zenon_L654_); trivial.
% 1.38/1.53 apply (zenon_L241_); trivial.
% 1.38/1.53 (* end of lemma zenon_L655_ *)
% 1.38/1.53 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_He4 zenon_H16e zenon_Hef zenon_H1a2 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H163 zenon_H40 zenon_H185 zenon_H86 zenon_H1e4 zenon_H124 zenon_H18a.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.38/1.53 apply (zenon_L655_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.38/1.53 apply (zenon_L654_); trivial.
% 1.38/1.53 apply (zenon_L513_); trivial.
% 1.38/1.53 (* end of lemma zenon_L656_ *)
% 1.38/1.53 assert (zenon_L657_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.38/1.53 generalize (zenon_Hd6 (a798)). zenon_intro zenon_H28f.
% 1.38/1.53 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_H11 | zenon_intro zenon_H290 ].
% 1.38/1.53 exact (zenon_H11 zenon_H12).
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H292 | zenon_intro zenon_H291 ].
% 1.38/1.53 exact (zenon_H28c zenon_H292).
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ].
% 1.38/1.53 exact (zenon_H294 zenon_H28d).
% 1.38/1.53 exact (zenon_H293 zenon_H28e).
% 1.38/1.53 (* end of lemma zenon_L657_ *)
% 1.38/1.53 assert (zenon_L658_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H5.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.38/1.53 apply (zenon_L31_); trivial.
% 1.38/1.53 exact (zenon_H5 zenon_H6).
% 1.38/1.53 (* end of lemma zenon_L658_ *)
% 1.38/1.53 assert (zenon_L659_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp18)) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H40 zenon_H221 zenon_H21f zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.53 apply (zenon_L26_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H65 | zenon_intro zenon_H222 ].
% 1.38/1.53 apply (zenon_L658_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ].
% 1.38/1.53 exact (zenon_H161 zenon_H162).
% 1.38/1.53 exact (zenon_H21f zenon_H220).
% 1.38/1.53 (* end of lemma zenon_L659_ *)
% 1.38/1.53 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H127 zenon_H4d zenon_H109 zenon_H5c zenon_H5e zenon_H5d zenon_H10d zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.38/1.53 apply (zenon_L94_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.38/1.53 apply (zenon_L101_); trivial.
% 1.38/1.53 exact (zenon_H125 zenon_H126).
% 1.38/1.53 (* end of lemma zenon_L660_ *)
% 1.38/1.53 assert (zenon_L661_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H10b zenon_H109 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.53 apply (zenon_L106_); trivial.
% 1.38/1.53 apply (zenon_L660_); trivial.
% 1.38/1.53 (* end of lemma zenon_L661_ *)
% 1.38/1.53 assert (zenon_L662_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.38/1.53 apply (zenon_L144_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.38/1.53 apply (zenon_L97_); trivial.
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 (* end of lemma zenon_L662_ *)
% 1.38/1.53 assert (zenon_L663_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H103 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.38/1.53 apply (zenon_L662_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.38/1.53 apply (zenon_L84_); trivial.
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 (* end of lemma zenon_L663_ *)
% 1.38/1.53 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H5c zenon_H5e zenon_H5d zenon_H119 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.38/1.53 apply (zenon_L663_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.38/1.53 apply (zenon_L101_); trivial.
% 1.38/1.53 exact (zenon_H125 zenon_H126).
% 1.38/1.53 (* end of lemma zenon_L664_ *)
% 1.38/1.53 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.38/1.53 apply (zenon_L55_); trivial.
% 1.38/1.53 apply (zenon_L661_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.38/1.53 apply (zenon_L55_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.53 apply (zenon_L27_); trivial.
% 1.38/1.53 apply (zenon_L664_); trivial.
% 1.38/1.53 (* end of lemma zenon_L665_ *)
% 1.38/1.53 assert (zenon_L666_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80 zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L318_); trivial.
% 1.38/1.53 apply (zenon_L665_); trivial.
% 1.38/1.53 (* end of lemma zenon_L666_ *)
% 1.38/1.53 assert (zenon_L667_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H5.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.38/1.53 apply (zenon_L124_); trivial.
% 1.38/1.53 exact (zenon_H5 zenon_H6).
% 1.38/1.53 (* end of lemma zenon_L667_ *)
% 1.38/1.53 assert (zenon_L668_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H103 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.38/1.53 apply (zenon_L662_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.38/1.53 apply (zenon_L667_); trivial.
% 1.38/1.53 apply (zenon_L72_); trivial.
% 1.38/1.53 (* end of lemma zenon_L668_ *)
% 1.38/1.53 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H1be.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.38/1.53 apply (zenon_L662_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.38/1.53 apply (zenon_L668_); trivial.
% 1.38/1.53 exact (zenon_H1be zenon_H1bf).
% 1.38/1.53 (* end of lemma zenon_L669_ *)
% 1.38/1.53 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_L96_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.53 apply (zenon_L26_); trivial.
% 1.38/1.53 apply (zenon_L669_); trivial.
% 1.38/1.53 (* end of lemma zenon_L670_ *)
% 1.38/1.53 assert (zenon_L671_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L318_); trivial.
% 1.38/1.53 apply (zenon_L670_); trivial.
% 1.38/1.53 (* end of lemma zenon_L671_ *)
% 1.38/1.53 assert (zenon_L672_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H236 zenon_H138 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_L666_); trivial.
% 1.38/1.53 apply (zenon_L671_); trivial.
% 1.38/1.53 (* end of lemma zenon_L672_ *)
% 1.38/1.53 assert (zenon_L673_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.38/1.53 apply (zenon_L659_); trivial.
% 1.38/1.53 apply (zenon_L672_); trivial.
% 1.38/1.53 (* end of lemma zenon_L673_ *)
% 1.38/1.53 assert (zenon_L674_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H5.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.38/1.53 apply (zenon_L35_); trivial.
% 1.38/1.53 exact (zenon_H5 zenon_H6).
% 1.38/1.53 (* end of lemma zenon_L674_ *)
% 1.38/1.53 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H5 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hb.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.38/1.53 apply (zenon_L674_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.38/1.53 apply (zenon_L11_); trivial.
% 1.38/1.53 exact (zenon_Hb zenon_Hc).
% 1.38/1.53 (* end of lemma zenon_L675_ *)
% 1.38/1.53 assert (zenon_L676_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H42 zenon_H43 zenon_H44 zenon_H5 zenon_H1c2 zenon_Hb zenon_Hd zenon_Hf.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.38/1.53 apply (zenon_L8_); trivial.
% 1.38/1.53 apply (zenon_L675_); trivial.
% 1.38/1.53 (* end of lemma zenon_L676_ *)
% 1.38/1.53 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H5c zenon_H5e zenon_H5d zenon_H109 zenon_H4d zenon_H10d zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.53 apply (zenon_L676_); trivial.
% 1.38/1.53 apply (zenon_L105_); trivial.
% 1.38/1.53 (* end of lemma zenon_L677_ *)
% 1.38/1.53 assert (zenon_L678_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H80 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.38/1.53 apply (zenon_L93_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.53 apply (zenon_L106_); trivial.
% 1.38/1.53 apply (zenon_L677_); trivial.
% 1.38/1.53 (* end of lemma zenon_L678_ *)
% 1.38/1.53 assert (zenon_L679_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H121 zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H103 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.53 apply (zenon_L109_); trivial.
% 1.38/1.53 apply (zenon_L669_); trivial.
% 1.38/1.53 (* end of lemma zenon_L679_ *)
% 1.38/1.53 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_L96_); trivial.
% 1.38/1.53 apply (zenon_L679_); trivial.
% 1.38/1.53 (* end of lemma zenon_L680_ *)
% 1.38/1.53 assert (zenon_L681_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L318_); trivial.
% 1.38/1.53 apply (zenon_L680_); trivial.
% 1.38/1.53 (* end of lemma zenon_L681_ *)
% 1.38/1.53 assert (zenon_L682_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L155_); trivial.
% 1.38/1.53 apply (zenon_L665_); trivial.
% 1.38/1.53 (* end of lemma zenon_L682_ *)
% 1.38/1.53 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L155_); trivial.
% 1.38/1.53 apply (zenon_L670_); trivial.
% 1.38/1.53 (* end of lemma zenon_L683_ *)
% 1.38/1.53 assert (zenon_L684_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H138 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_L682_); trivial.
% 1.38/1.53 apply (zenon_L683_); trivial.
% 1.38/1.53 (* end of lemma zenon_L684_ *)
% 1.38/1.53 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H29 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.38/1.53 apply (zenon_L657_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.38/1.53 apply (zenon_L11_); trivial.
% 1.38/1.53 exact (zenon_H5 zenon_H6).
% 1.38/1.53 (* end of lemma zenon_L685_ *)
% 1.38/1.53 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H8a zenon_H8c.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.38/1.53 apply (zenon_L46_); trivial.
% 1.38/1.53 apply (zenon_L685_); trivial.
% 1.38/1.53 (* end of lemma zenon_L686_ *)
% 1.38/1.53 assert (zenon_L687_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H54 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.53 apply (zenon_L27_); trivial.
% 1.38/1.53 apply (zenon_L686_); trivial.
% 1.38/1.53 (* end of lemma zenon_L687_ *)
% 1.38/1.53 assert (zenon_L688_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L155_); trivial.
% 1.38/1.53 apply (zenon_L680_); trivial.
% 1.38/1.53 (* end of lemma zenon_L688_ *)
% 1.38/1.53 assert (zenon_L689_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H18a zenon_H8c zenon_Hef zenon_H2a zenon_H7 zenon_H88 zenon_Haa zenon_H233 zenon_Hc2 zenon_Hac zenon_H108 zenon_H86 zenon_H185 zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H221 zenon_H40 zenon_H71 zenon_H133 zenon_H2e zenon_H1bc zenon_Hf zenon_H1ca.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.38/1.53 apply (zenon_L673_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.38/1.53 apply (zenon_L659_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_L678_); trivial.
% 1.38/1.53 apply (zenon_L112_); trivial.
% 1.38/1.53 apply (zenon_L681_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.38/1.53 apply (zenon_L684_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L687_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_L678_); trivial.
% 1.38/1.53 apply (zenon_L327_); trivial.
% 1.38/1.53 apply (zenon_L688_); trivial.
% 1.38/1.53 (* end of lemma zenon_L689_ *)
% 1.38/1.53 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H121 zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.53 apply (zenon_L26_); trivial.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.38/1.53 apply (zenon_L662_); trivial.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.38/1.53 apply (zenon_L222_); trivial.
% 1.38/1.53 apply (zenon_L320_); trivial.
% 1.38/1.53 (* end of lemma zenon_L690_ *)
% 1.38/1.53 assert (zenon_L691_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.53 apply (zenon_L96_); trivial.
% 1.38/1.53 apply (zenon_L690_); trivial.
% 1.38/1.53 (* end of lemma zenon_L691_ *)
% 1.38/1.53 assert (zenon_L692_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.53 apply (zenon_L318_); trivial.
% 1.38/1.53 apply (zenon_L691_); trivial.
% 1.38/1.53 (* end of lemma zenon_L692_ *)
% 1.38/1.53 assert (zenon_L693_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H236 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.53 apply (zenon_L666_); trivial.
% 1.38/1.53 apply (zenon_L692_); trivial.
% 1.38/1.53 (* end of lemma zenon_L693_ *)
% 1.38/1.53 assert (zenon_L694_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.53 do 0 intro. intros zenon_H235 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40.
% 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.38/1.53 apply (zenon_L659_); trivial.
% 1.38/1.53 apply (zenon_L693_); trivial.
% 1.38/1.53 (* end of lemma zenon_L694_ *)
% 1.38/1.53 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_Hec zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.38/1.54 apply (zenon_L23_); trivial.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.54 apply (zenon_L18_); trivial.
% 1.38/1.54 apply (zenon_L677_); trivial.
% 1.38/1.54 (* end of lemma zenon_L695_ *)
% 1.38/1.54 assert (zenon_L696_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.38/1.54 apply (zenon_L4_); trivial.
% 1.38/1.54 apply (zenon_L695_); trivial.
% 1.38/1.54 (* end of lemma zenon_L696_ *)
% 1.38/1.54 assert (zenon_L697_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H10d zenon_H109 zenon_H125 zenon_H127 zenon_H80 zenon_Hef.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.38/1.54 apply (zenon_L696_); trivial.
% 1.38/1.54 apply (zenon_L454_); trivial.
% 1.38/1.54 (* end of lemma zenon_L697_ *)
% 1.38/1.54 assert (zenon_L698_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H57 zenon_H59 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H108.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.54 apply (zenon_L697_); trivial.
% 1.38/1.54 apply (zenon_L112_); trivial.
% 1.38/1.54 (* end of lemma zenon_L698_ *)
% 1.38/1.54 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H138 zenon_H124 zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H102 zenon_H22d zenon_H22f zenon_H108 zenon_H7e zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1bc zenon_H10d zenon_H125 zenon_H127 zenon_H80 zenon_Hef zenon_H133 zenon_H11e zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.38/1.54 apply (zenon_L659_); trivial.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.54 apply (zenon_L698_); trivial.
% 1.38/1.54 apply (zenon_L692_); trivial.
% 1.38/1.54 (* end of lemma zenon_L699_ *)
% 1.38/1.54 assert (zenon_L700_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.54 apply (zenon_L155_); trivial.
% 1.38/1.54 apply (zenon_L691_); trivial.
% 1.38/1.54 (* end of lemma zenon_L700_ *)
% 1.38/1.54 assert (zenon_L701_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.54 apply (zenon_L682_); trivial.
% 1.38/1.54 apply (zenon_L700_); trivial.
% 1.38/1.54 (* end of lemma zenon_L701_ *)
% 1.38/1.54 assert (zenon_L702_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.38/1.54 apply (zenon_L247_); trivial.
% 1.38/1.54 apply (zenon_L454_); trivial.
% 1.38/1.54 apply (zenon_L255_); trivial.
% 1.38/1.54 (* end of lemma zenon_L702_ *)
% 1.38/1.54 assert (zenon_L703_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H124 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H57 zenon_H59 zenon_H127 zenon_H125 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.38/1.54 apply (zenon_L702_); trivial.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.54 apply (zenon_L697_); trivial.
% 1.38/1.54 apply (zenon_L327_); trivial.
% 1.38/1.54 (* end of lemma zenon_L703_ *)
% 1.38/1.54 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hac zenon_H233 zenon_Haa zenon_H88 zenon_H133 zenon_H1c2 zenon_H1bc zenon_H108 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H7 zenon_H5 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_H1f2 zenon_H1ca.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.38/1.54 apply (zenon_L701_); trivial.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.54 apply (zenon_L703_); trivial.
% 1.38/1.54 apply (zenon_L700_); trivial.
% 1.38/1.54 apply (zenon_L153_); trivial.
% 1.38/1.54 (* end of lemma zenon_L704_ *)
% 1.38/1.54 assert (zenon_L705_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H155 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.38/1.54 apply (zenon_L667_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.38/1.54 apply (zenon_L127_); trivial.
% 1.38/1.54 exact (zenon_H153 zenon_H154).
% 1.38/1.54 (* end of lemma zenon_L705_ *)
% 1.38/1.54 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H125.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.38/1.54 apply (zenon_L705_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.38/1.54 apply (zenon_L15_); trivial.
% 1.38/1.54 exact (zenon_H125 zenon_H126).
% 1.38/1.54 (* end of lemma zenon_L706_ *)
% 1.38/1.54 assert (zenon_L707_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.38/1.54 apply (zenon_L136_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.38/1.54 apply (zenon_L674_); trivial.
% 1.38/1.54 apply (zenon_L19_); trivial.
% 1.38/1.54 (* end of lemma zenon_L707_ *)
% 1.38/1.54 assert (zenon_L708_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.54 apply (zenon_L27_); trivial.
% 1.38/1.54 apply (zenon_L707_); trivial.
% 1.38/1.54 (* end of lemma zenon_L708_ *)
% 1.38/1.54 assert (zenon_L709_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H10f zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148.
% 1.38/1.54 generalize (zenon_H10f (a808)). zenon_intro zenon_H295.
% 1.38/1.54 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H11 | zenon_intro zenon_H296 ].
% 1.38/1.54 exact (zenon_H11 zenon_H12).
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H152 ].
% 1.38/1.54 exact (zenon_H1a4 zenon_H1a8).
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H14d ].
% 1.38/1.54 apply (zenon_L126_); trivial.
% 1.38/1.54 exact (zenon_H14d zenon_H148).
% 1.38/1.54 (* end of lemma zenon_L709_ *)
% 1.38/1.54 assert (zenon_L710_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.38/1.54 apply (zenon_L141_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.38/1.54 apply (zenon_L709_); trivial.
% 1.38/1.54 apply (zenon_L657_); trivial.
% 1.38/1.54 (* end of lemma zenon_L710_ *)
% 1.38/1.54 assert (zenon_L711_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_Hea zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.38/1.54 apply (zenon_L710_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.38/1.54 apply (zenon_L15_); trivial.
% 1.38/1.54 exact (zenon_He8 zenon_He9).
% 1.38/1.54 (* end of lemma zenon_L711_ *)
% 1.38/1.54 assert (zenon_L712_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H102 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.38/1.54 apply (zenon_L710_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.38/1.54 apply (zenon_L87_); trivial.
% 1.38/1.54 exact (zenon_H1 zenon_H2).
% 1.38/1.54 (* end of lemma zenon_L712_ *)
% 1.38/1.54 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_He8 zenon_Hea zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H102 zenon_H5.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.38/1.54 apply (zenon_L711_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.38/1.54 apply (zenon_L712_); trivial.
% 1.38/1.54 exact (zenon_H5 zenon_H6).
% 1.38/1.54 (* end of lemma zenon_L713_ *)
% 1.38/1.54 assert (zenon_L714_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H15a zenon_H159 zenon_H158 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.54 apply (zenon_L26_); trivial.
% 1.38/1.54 apply (zenon_L713_); trivial.
% 1.38/1.54 (* end of lemma zenon_L714_ *)
% 1.38/1.54 assert (zenon_L715_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H1 zenon_H102 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_He8 zenon_Hea zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.54 apply (zenon_L708_); trivial.
% 1.38/1.54 apply (zenon_L714_); trivial.
% 1.38/1.54 (* end of lemma zenon_L715_ *)
% 1.38/1.54 assert (zenon_L716_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hea zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.38/1.54 apply (zenon_L715_); trivial.
% 1.38/1.54 apply (zenon_L153_); trivial.
% 1.38/1.54 (* end of lemma zenon_L716_ *)
% 1.38/1.54 assert (zenon_L717_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H40.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.54 apply (zenon_L26_); trivial.
% 1.38/1.54 apply (zenon_L706_); trivial.
% 1.38/1.54 apply (zenon_L716_); trivial.
% 1.38/1.54 (* end of lemma zenon_L717_ *)
% 1.38/1.54 assert (zenon_L718_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c0_1 (a838)) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H112 zenon_H110 zenon_H199 zenon_H111 zenon_H12 zenon_H5.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.38/1.54 apply (zenon_L657_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.38/1.54 apply (zenon_L162_); trivial.
% 1.38/1.54 exact (zenon_H5 zenon_H6).
% 1.38/1.54 (* end of lemma zenon_L718_ *)
% 1.38/1.54 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H111 zenon_H110 zenon_H112 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.38/1.54 apply (zenon_L161_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.38/1.54 apply (zenon_L718_); trivial.
% 1.38/1.54 apply (zenon_L10_); trivial.
% 1.38/1.54 (* end of lemma zenon_L719_ *)
% 1.38/1.54 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H121 zenon_Hef zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.38/1.54 apply (zenon_L4_); trivial.
% 1.38/1.54 apply (zenon_L719_); trivial.
% 1.38/1.54 (* end of lemma zenon_L720_ *)
% 1.38/1.54 assert (zenon_L721_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hef zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H7 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.54 apply (zenon_L96_); trivial.
% 1.38/1.54 apply (zenon_L720_); trivial.
% 1.38/1.54 (* end of lemma zenon_L721_ *)
% 1.38/1.54 assert (zenon_L722_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H108 zenon_H102 zenon_H138.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.38/1.54 apply (zenon_L697_); trivial.
% 1.38/1.54 apply (zenon_L720_); trivial.
% 1.38/1.54 apply (zenon_L721_); trivial.
% 1.38/1.54 apply (zenon_L171_); trivial.
% 1.38/1.54 (* end of lemma zenon_L722_ *)
% 1.38/1.54 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_H108 zenon_H7 zenon_H5 zenon_H2e zenon_H2a zenon_Hf zenon_H231 zenon_H1ae zenon_H1ad zenon_Haa zenon_Hef zenon_H1ca.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.38/1.54 apply (zenon_L701_); trivial.
% 1.38/1.54 apply (zenon_L368_); trivial.
% 1.38/1.54 apply (zenon_L153_); trivial.
% 1.38/1.54 (* end of lemma zenon_L723_ *)
% 1.38/1.54 assert (zenon_L724_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.54 apply (zenon_L91_); trivial.
% 1.38/1.54 apply (zenon_L509_); trivial.
% 1.38/1.54 (* end of lemma zenon_L724_ *)
% 1.38/1.54 assert (zenon_L725_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.54 apply (zenon_L724_); trivial.
% 1.38/1.54 apply (zenon_L22_); trivial.
% 1.38/1.54 (* end of lemma zenon_L725_ *)
% 1.38/1.54 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.38/1.54 apply (zenon_L161_); trivial.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.38/1.54 apply (zenon_L32_); trivial.
% 1.38/1.54 apply (zenon_L229_); trivial.
% 1.38/1.54 (* end of lemma zenon_L726_ *)
% 1.38/1.54 assert (zenon_L727_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.38/1.54 apply (zenon_L91_); trivial.
% 1.38/1.54 apply (zenon_L726_); trivial.
% 1.38/1.54 (* end of lemma zenon_L727_ *)
% 1.38/1.54 assert (zenon_L728_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.38/1.54 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.38/1.54 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.38/1.54 apply (zenon_L727_); trivial.
% 1.38/1.54 apply (zenon_L38_); trivial.
% 1.38/1.54 (* end of lemma zenon_L728_ *)
% 1.38/1.54 assert (zenon_L729_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H7e zenon_H55 zenon_Hf zenon_H2e zenon_H71 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2a zenon_H10b zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H102 zenon_H10d zenon_H138.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.54 apply (zenon_L4_); trivial.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.54 apply (zenon_L725_); trivial.
% 1.40/1.54 apply (zenon_L728_); trivial.
% 1.40/1.54 apply (zenon_L232_); trivial.
% 1.40/1.54 apply (zenon_L239_); trivial.
% 1.40/1.54 apply (zenon_L240_); trivial.
% 1.40/1.54 apply (zenon_L171_); trivial.
% 1.40/1.54 (* end of lemma zenon_L729_ *)
% 1.40/1.54 assert (zenon_L730_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hb zenon_Hd zenon_Hf.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.40/1.54 apply (zenon_L8_); trivial.
% 1.40/1.54 apply (zenon_L685_); trivial.
% 1.40/1.54 (* end of lemma zenon_L730_ *)
% 1.40/1.54 assert (zenon_L731_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.54 apply (zenon_L730_); trivial.
% 1.40/1.54 apply (zenon_L17_); trivial.
% 1.40/1.54 (* end of lemma zenon_L731_ *)
% 1.40/1.54 assert (zenon_L732_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.54 apply (zenon_L731_); trivial.
% 1.40/1.54 apply (zenon_L707_); trivial.
% 1.40/1.54 (* end of lemma zenon_L732_ *)
% 1.40/1.54 assert (zenon_L733_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H121 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.54 apply (zenon_L243_); trivial.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.54 apply (zenon_L97_); trivial.
% 1.40/1.54 apply (zenon_L657_); trivial.
% 1.40/1.54 (* end of lemma zenon_L733_ *)
% 1.40/1.54 assert (zenon_L734_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H135 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.54 apply (zenon_L96_); trivial.
% 1.40/1.54 apply (zenon_L733_); trivial.
% 1.40/1.54 (* end of lemma zenon_L734_ *)
% 1.40/1.54 assert (zenon_L735_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.54 apply (zenon_L243_); trivial.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.54 apply (zenon_L709_); trivial.
% 1.40/1.54 apply (zenon_L657_); trivial.
% 1.40/1.54 (* end of lemma zenon_L735_ *)
% 1.40/1.54 assert (zenon_L736_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H135 zenon_H102 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.40/1.54 apply (zenon_L735_); trivial.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.40/1.54 apply (zenon_L87_); trivial.
% 1.40/1.54 exact (zenon_H1 zenon_H2).
% 1.40/1.54 (* end of lemma zenon_L736_ *)
% 1.40/1.54 assert (zenon_L737_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H138 zenon_H102 zenon_H1 zenon_H119 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H54 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H86 zenon_H1e4.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.54 apply (zenon_L244_); trivial.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.54 apply (zenon_L732_); trivial.
% 1.40/1.54 apply (zenon_L736_); trivial.
% 1.40/1.54 (* end of lemma zenon_L737_ *)
% 1.40/1.54 assert (zenon_L738_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H1e4 zenon_H86 zenon_H54 zenon_H165 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H3c zenon_H40 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H10b zenon_H50 zenon_H119 zenon_H11e zenon_H138 zenon_H1d9.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.54 apply (zenon_L244_); trivial.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.54 apply (zenon_L732_); trivial.
% 1.40/1.54 apply (zenon_L734_); trivial.
% 1.40/1.54 apply (zenon_L737_); trivial.
% 1.40/1.54 (* end of lemma zenon_L738_ *)
% 1.40/1.54 assert (zenon_L739_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 1.40/1.54 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H5.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ].
% 1.40/1.54 apply (zenon_L657_); trivial.
% 1.40/1.54 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ].
% 1.40/1.54 apply (zenon_L257_); trivial.
% 1.40/1.54 exact (zenon_H5 zenon_H6).
% 1.40/1.54 (* end of lemma zenon_L739_ *)
% 1.40/1.54 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_L96_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L26_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.55 apply (zenon_L668_); trivial.
% 1.40/1.55 exact (zenon_H1be zenon_H1bf).
% 1.40/1.55 (* end of lemma zenon_L740_ *)
% 1.40/1.55 assert (zenon_L741_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L318_); trivial.
% 1.40/1.55 apply (zenon_L740_); trivial.
% 1.40/1.55 (* end of lemma zenon_L741_ *)
% 1.40/1.55 assert (zenon_L742_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H236 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H22d zenon_H22f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_L370_); trivial.
% 1.40/1.55 apply (zenon_L741_); trivial.
% 1.40/1.55 (* end of lemma zenon_L742_ *)
% 1.40/1.55 assert (zenon_L743_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H235 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H22d zenon_H22f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.40/1.55 apply (zenon_L659_); trivial.
% 1.40/1.55 apply (zenon_L742_); trivial.
% 1.40/1.55 (* end of lemma zenon_L743_ *)
% 1.40/1.55 assert (zenon_L744_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_L71_); trivial.
% 1.40/1.55 (* end of lemma zenon_L744_ *)
% 1.40/1.55 assert (zenon_L745_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp11)) -> (~(hskp26)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H103 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H4d zenon_H4b zenon_H30 zenon_H31 zenon_H32 zenon_H50 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.55 apply (zenon_L478_); trivial.
% 1.40/1.55 apply (zenon_L72_); trivial.
% 1.40/1.55 (* end of lemma zenon_L745_ *)
% 1.40/1.55 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H50 zenon_H4b zenon_H4d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H103 zenon_H1be.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.55 apply (zenon_L745_); trivial.
% 1.40/1.55 exact (zenon_H1be zenon_H1bf).
% 1.40/1.55 (* end of lemma zenon_L746_ *)
% 1.40/1.55 assert (zenon_L747_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H50 zenon_H4d zenon_H4b zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L26_); trivial.
% 1.40/1.55 apply (zenon_L746_); trivial.
% 1.40/1.55 (* end of lemma zenon_L747_ *)
% 1.40/1.55 assert (zenon_L748_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H81 zenon_H102 zenon_He8 zenon_Hea zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.55 apply (zenon_L84_); trivial.
% 1.40/1.55 apply (zenon_L86_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.40/1.55 apply (zenon_L87_); trivial.
% 1.40/1.55 exact (zenon_H1 zenon_H2).
% 1.40/1.55 (* end of lemma zenon_L748_ *)
% 1.40/1.55 assert (zenon_L749_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H80 zenon_H102 zenon_H1 zenon_Hea zenon_He8 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H4d zenon_H50 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L747_); trivial.
% 1.40/1.55 apply (zenon_L748_); trivial.
% 1.40/1.55 (* end of lemma zenon_L749_ *)
% 1.40/1.55 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H10b zenon_H1 zenon_H102 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H71 zenon_H7e zenon_H11e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_L283_); trivial.
% 1.40/1.55 apply (zenon_L688_); trivial.
% 1.40/1.55 (* end of lemma zenon_L750_ *)
% 1.40/1.55 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H1d8 zenon_H103 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.55 apply (zenon_L222_); trivial.
% 1.40/1.55 apply (zenon_L657_); trivial.
% 1.40/1.55 (* end of lemma zenon_L751_ *)
% 1.40/1.55 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H209 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.40/1.55 apply (zenon_L705_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.40/1.55 apply (zenon_L279_); trivial.
% 1.40/1.55 exact (zenon_H207 zenon_H208).
% 1.40/1.55 (* end of lemma zenon_L752_ *)
% 1.40/1.55 assert (zenon_L753_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L26_); trivial.
% 1.40/1.55 apply (zenon_L752_); trivial.
% 1.40/1.55 (* end of lemma zenon_L753_ *)
% 1.40/1.55 assert (zenon_L754_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H40.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.55 apply (zenon_L753_); trivial.
% 1.40/1.55 apply (zenon_L716_); trivial.
% 1.40/1.55 (* end of lemma zenon_L754_ *)
% 1.40/1.55 assert (zenon_L755_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_Hec zenon_H80 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L23_); trivial.
% 1.40/1.55 apply (zenon_L70_); trivial.
% 1.40/1.55 (* end of lemma zenon_L755_ *)
% 1.40/1.55 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_Hef zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_H10d zenon_H108.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.55 apply (zenon_L4_); trivial.
% 1.40/1.55 apply (zenon_L755_); trivial.
% 1.40/1.55 apply (zenon_L454_); trivial.
% 1.40/1.55 apply (zenon_L720_); trivial.
% 1.40/1.55 (* end of lemma zenon_L756_ *)
% 1.40/1.55 assert (zenon_L757_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H190 zenon_H191 zenon_H192 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1a2 zenon_H124.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L702_); trivial.
% 1.40/1.55 apply (zenon_L756_); trivial.
% 1.40/1.55 apply (zenon_L721_); trivial.
% 1.40/1.55 (* end of lemma zenon_L757_ *)
% 1.40/1.55 assert (zenon_L758_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp28)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H7e zenon_Hb zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.55 apply (zenon_L550_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.55 apply (zenon_L674_); trivial.
% 1.40/1.55 exact (zenon_H55 zenon_H56).
% 1.40/1.55 (* end of lemma zenon_L758_ *)
% 1.40/1.55 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_Hbf zenon_H231 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12a zenon_H12b zenon_H12c.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.40/1.55 apply (zenon_L667_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.55 apply (zenon_L64_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.55 apply (zenon_L67_); trivial.
% 1.40/1.55 exact (zenon_H55 zenon_H56).
% 1.40/1.55 apply (zenon_L108_); trivial.
% 1.40/1.55 (* end of lemma zenon_L759_ *)
% 1.40/1.55 assert (zenon_L760_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H55 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.55 apply (zenon_L58_); trivial.
% 1.40/1.55 apply (zenon_L759_); trivial.
% 1.40/1.55 (* end of lemma zenon_L760_ *)
% 1.40/1.55 assert (zenon_L761_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H81 zenon_H54 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.55 apply (zenon_L63_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L758_); trivial.
% 1.40/1.55 apply (zenon_L760_); trivial.
% 1.40/1.55 (* end of lemma zenon_L761_ *)
% 1.40/1.55 assert (zenon_L762_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_Hef zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.55 apply (zenon_L4_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L23_); trivial.
% 1.40/1.55 apply (zenon_L761_); trivial.
% 1.40/1.55 (* end of lemma zenon_L762_ *)
% 1.40/1.55 assert (zenon_L763_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.55 apply (zenon_L64_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.55 apply (zenon_L97_); trivial.
% 1.40/1.55 apply (zenon_L657_); trivial.
% 1.40/1.55 (* end of lemma zenon_L763_ *)
% 1.40/1.55 assert (zenon_L764_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H13 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.55 generalize (zenon_H13 (a798)). zenon_intro zenon_H297.
% 1.40/1.55 apply (zenon_imply_s _ _ zenon_H297); [ zenon_intro zenon_H11 | zenon_intro zenon_H298 ].
% 1.40/1.55 exact (zenon_H11 zenon_H12).
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ].
% 1.40/1.55 generalize (zenon_Ha0 (a798)). zenon_intro zenon_H29b.
% 1.40/1.55 apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_H11 | zenon_intro zenon_H29c ].
% 1.40/1.55 exact (zenon_H11 zenon_H12).
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H292 | zenon_intro zenon_H29d ].
% 1.40/1.55 exact (zenon_H28c zenon_H292).
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29e | zenon_intro zenon_H293 ].
% 1.40/1.55 exact (zenon_H29e zenon_H29a).
% 1.40/1.55 exact (zenon_H293 zenon_H28e).
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H292 | zenon_intro zenon_H294 ].
% 1.40/1.55 exact (zenon_H28c zenon_H292).
% 1.40/1.55 exact (zenon_H294 zenon_H28d).
% 1.40/1.55 (* end of lemma zenon_L764_ *)
% 1.40/1.55 assert (zenon_L765_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.55 apply (zenon_L763_); trivial.
% 1.40/1.55 apply (zenon_L764_); trivial.
% 1.40/1.55 (* end of lemma zenon_L765_ *)
% 1.40/1.55 assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.55 apply (zenon_L161_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.55 apply (zenon_L718_); trivial.
% 1.40/1.55 apply (zenon_L765_); trivial.
% 1.40/1.55 (* end of lemma zenon_L766_ *)
% 1.40/1.55 assert (zenon_L767_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H50 zenon_H4d zenon_H4b zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L109_); trivial.
% 1.40/1.55 apply (zenon_L746_); trivial.
% 1.40/1.55 (* end of lemma zenon_L767_ *)
% 1.40/1.55 assert (zenon_L768_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hea zenon_He8 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H1be zenon_H21d zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_L96_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L767_); trivial.
% 1.40/1.55 apply (zenon_L748_); trivial.
% 1.40/1.55 (* end of lemma zenon_L768_ *)
% 1.40/1.55 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H108 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H80 zenon_Hef.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.55 apply (zenon_L762_); trivial.
% 1.40/1.55 apply (zenon_L120_); trivial.
% 1.40/1.55 (* end of lemma zenon_L769_ *)
% 1.40/1.55 assert (zenon_L770_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_L218_); trivial.
% 1.40/1.55 apply (zenon_L255_); trivial.
% 1.40/1.55 (* end of lemma zenon_L770_ *)
% 1.40/1.55 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_L218_); trivial.
% 1.40/1.55 apply (zenon_L679_); trivial.
% 1.40/1.55 (* end of lemma zenon_L771_ *)
% 1.40/1.55 assert (zenon_L772_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L770_); trivial.
% 1.40/1.55 apply (zenon_L771_); trivial.
% 1.40/1.55 (* end of lemma zenon_L772_ *)
% 1.40/1.55 assert (zenon_L773_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H124 zenon_H108 zenon_H1ae zenon_H1ad zenon_Haa zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_H71 zenon_H233 zenon_Hd4 zenon_Hd2 zenon_Hc2 zenon_H80 zenon_Hef zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L155_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.55 apply (zenon_L4_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L23_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.55 apply (zenon_L27_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.55 apply (zenon_L325_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.55 apply (zenon_L36_); trivial.
% 1.40/1.55 exact (zenon_H55 zenon_H56).
% 1.40/1.55 apply (zenon_L68_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.55 apply (zenon_L55_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.55 apply (zenon_L27_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.55 apply (zenon_L82_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.55 apply (zenon_L325_); trivial.
% 1.40/1.55 apply (zenon_L175_); trivial.
% 1.40/1.55 apply (zenon_L68_); trivial.
% 1.40/1.55 (* end of lemma zenon_L773_ *)
% 1.40/1.55 assert (zenon_L774_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L155_); trivial.
% 1.40/1.55 apply (zenon_L740_); trivial.
% 1.40/1.55 (* end of lemma zenon_L774_ *)
% 1.40/1.55 assert (zenon_L775_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp11)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H18c zenon_H27f zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H4d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.40/1.55 apply (zenon_L739_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.40/1.55 apply (zenon_L136_); trivial.
% 1.40/1.55 exact (zenon_H4d zenon_H4e).
% 1.40/1.55 (* end of lemma zenon_L775_ *)
% 1.40/1.55 assert (zenon_L776_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_L407_); trivial.
% 1.40/1.55 apply (zenon_L736_); trivial.
% 1.40/1.55 (* end of lemma zenon_L776_ *)
% 1.40/1.55 assert (zenon_L777_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H20b zenon_H103 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H119 zenon_H1 zenon_H102 zenon_H138 zenon_H1e4 zenon_H86 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H27f zenon_H1d9.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.55 apply (zenon_L244_); trivial.
% 1.40/1.55 apply (zenon_L775_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.55 apply (zenon_L776_); trivial.
% 1.40/1.55 apply (zenon_L751_); trivial.
% 1.40/1.55 (* end of lemma zenon_L777_ *)
% 1.40/1.55 assert (zenon_L778_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.55 apply (zenon_L662_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.55 apply (zenon_L375_); trivial.
% 1.40/1.55 apply (zenon_L72_); trivial.
% 1.40/1.55 (* end of lemma zenon_L778_ *)
% 1.40/1.55 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1be.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.55 apply (zenon_L662_); trivial.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.55 apply (zenon_L778_); trivial.
% 1.40/1.55 exact (zenon_H1be zenon_H1bf).
% 1.40/1.55 (* end of lemma zenon_L779_ *)
% 1.40/1.55 assert (zenon_L780_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.55 apply (zenon_L96_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.55 apply (zenon_L26_); trivial.
% 1.40/1.55 apply (zenon_L779_); trivial.
% 1.40/1.55 (* end of lemma zenon_L780_ *)
% 1.40/1.55 assert (zenon_L781_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L318_); trivial.
% 1.40/1.55 apply (zenon_L780_); trivial.
% 1.40/1.55 (* end of lemma zenon_L781_ *)
% 1.40/1.55 assert (zenon_L782_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.40/1.55 apply (zenon_L315_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_L666_); trivial.
% 1.40/1.55 apply (zenon_L781_); trivial.
% 1.40/1.55 (* end of lemma zenon_L782_ *)
% 1.40/1.55 assert (zenon_L783_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.55 apply (zenon_L682_); trivial.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.55 apply (zenon_L155_); trivial.
% 1.40/1.55 apply (zenon_L780_); trivial.
% 1.40/1.55 (* end of lemma zenon_L783_ *)
% 1.40/1.55 assert (zenon_L784_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H235 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.40/1.56 apply (zenon_L315_); trivial.
% 1.40/1.56 apply (zenon_L693_); trivial.
% 1.40/1.56 (* end of lemma zenon_L784_ *)
% 1.40/1.56 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H125 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.56 apply (zenon_L705_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.56 apply (zenon_L332_); trivial.
% 1.40/1.56 exact (zenon_H5 zenon_H6).
% 1.40/1.56 (* end of lemma zenon_L785_ *)
% 1.40/1.56 assert (zenon_L786_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.56 apply (zenon_L560_); trivial.
% 1.40/1.56 apply (zenon_L714_); trivial.
% 1.40/1.56 (* end of lemma zenon_L786_ *)
% 1.40/1.56 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_Hea zenon_H3c zenon_H119 zenon_H102 zenon_H1 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H40.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L26_); trivial.
% 1.40/1.56 apply (zenon_L785_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.56 apply (zenon_L786_); trivial.
% 1.40/1.56 apply (zenon_L153_); trivial.
% 1.40/1.56 (* end of lemma zenon_L787_ *)
% 1.40/1.56 assert (zenon_L788_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H103 zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.56 apply (zenon_L266_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.56 apply (zenon_L307_); trivial.
% 1.40/1.56 apply (zenon_L657_); trivial.
% 1.40/1.56 (* end of lemma zenon_L788_ *)
% 1.40/1.56 assert (zenon_L789_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H3b zenon_H21d zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H84 zenon_H86 zenon_H103 zenon_H1be.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.56 apply (zenon_L266_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.56 apply (zenon_L788_); trivial.
% 1.40/1.56 exact (zenon_H1be zenon_H1bf).
% 1.40/1.56 (* end of lemma zenon_L789_ *)
% 1.40/1.56 assert (zenon_L790_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L91_); trivial.
% 1.40/1.56 apply (zenon_L789_); trivial.
% 1.40/1.56 (* end of lemma zenon_L790_ *)
% 1.40/1.56 assert (zenon_L791_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L790_); trivial.
% 1.40/1.56 apply (zenon_L22_); trivial.
% 1.40/1.56 (* end of lemma zenon_L791_ *)
% 1.40/1.56 assert (zenon_L792_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.40/1.56 apply (zenon_L46_); trivial.
% 1.40/1.56 apply (zenon_L60_); trivial.
% 1.40/1.56 (* end of lemma zenon_L792_ *)
% 1.40/1.56 assert (zenon_L793_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2e zenon_H71 zenon_H8a zenon_H8c zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.56 apply (zenon_L58_); trivial.
% 1.40/1.56 apply (zenon_L792_); trivial.
% 1.40/1.56 (* end of lemma zenon_L793_ *)
% 1.40/1.56 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H2e zenon_H8a zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L790_); trivial.
% 1.40/1.56 apply (zenon_L793_); trivial.
% 1.40/1.56 (* end of lemma zenon_L794_ *)
% 1.40/1.56 assert (zenon_L795_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.56 apply (zenon_L385_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.56 apply (zenon_L307_); trivial.
% 1.40/1.56 apply (zenon_L657_); trivial.
% 1.40/1.56 (* end of lemma zenon_L795_ *)
% 1.40/1.56 assert (zenon_L796_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L91_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.56 apply (zenon_L739_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.56 apply (zenon_L795_); trivial.
% 1.40/1.56 exact (zenon_H1be zenon_H1bf).
% 1.40/1.56 (* end of lemma zenon_L796_ *)
% 1.40/1.56 assert (zenon_L797_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L796_); trivial.
% 1.40/1.56 apply (zenon_L22_); trivial.
% 1.40/1.56 (* end of lemma zenon_L797_ *)
% 1.40/1.56 assert (zenon_L798_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H81 zenon_H54 zenon_H8a zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L63_); trivial.
% 1.40/1.56 apply (zenon_L793_); trivial.
% 1.40/1.56 (* end of lemma zenon_L798_ *)
% 1.40/1.56 assert (zenon_L799_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8a zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hd zenon_Hac.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.56 apply (zenon_L791_); trivial.
% 1.40/1.56 apply (zenon_L794_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.56 apply (zenon_L797_); trivial.
% 1.40/1.56 apply (zenon_L798_); trivial.
% 1.40/1.56 apply (zenon_L255_); trivial.
% 1.40/1.56 (* end of lemma zenon_L799_ *)
% 1.40/1.56 assert (zenon_L800_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H55 zenon_H57 zenon_H59 zenon_Hac zenon_Hd zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_L799_); trivial.
% 1.40/1.56 apply (zenon_L744_); trivial.
% 1.40/1.56 (* end of lemma zenon_L800_ *)
% 1.40/1.56 assert (zenon_L801_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H138 zenon_He8 zenon_Hea zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_H59 zenon_H57 zenon_H55 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H124.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.56 apply (zenon_L800_); trivial.
% 1.40/1.56 apply (zenon_L377_); trivial.
% 1.40/1.56 (* end of lemma zenon_L801_ *)
% 1.40/1.56 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L343_); trivial.
% 1.40/1.56 apply (zenon_L789_); trivial.
% 1.40/1.56 (* end of lemma zenon_L802_ *)
% 1.40/1.56 assert (zenon_L803_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L44_); trivial.
% 1.40/1.56 apply (zenon_L802_); trivial.
% 1.40/1.56 (* end of lemma zenon_L803_ *)
% 1.40/1.56 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Had zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.56 apply (zenon_L797_); trivial.
% 1.40/1.56 apply (zenon_L761_); trivial.
% 1.40/1.56 (* end of lemma zenon_L804_ *)
% 1.40/1.56 assert (zenon_L805_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Hac zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H55 zenon_H7e zenon_Hc2 zenon_Hb2 zenon_Hb4 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.56 apply (zenon_L803_); trivial.
% 1.40/1.56 apply (zenon_L804_); trivial.
% 1.40/1.56 (* end of lemma zenon_L805_ *)
% 1.40/1.56 assert (zenon_L806_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H121 zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hd7 zenon_Hd9 zenon_H103 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L109_); trivial.
% 1.40/1.56 apply (zenon_L779_); trivial.
% 1.40/1.56 (* end of lemma zenon_L806_ *)
% 1.40/1.56 assert (zenon_L807_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_L218_); trivial.
% 1.40/1.56 apply (zenon_L806_); trivial.
% 1.40/1.56 (* end of lemma zenon_L807_ *)
% 1.40/1.56 assert (zenon_L808_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_L770_); trivial.
% 1.40/1.56 apply (zenon_L807_); trivial.
% 1.40/1.56 (* end of lemma zenon_L808_ *)
% 1.40/1.56 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H121 zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13b zenon_H13a zenon_H139 zenon_H55.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.56 apply (zenon_L763_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.56 apply (zenon_L117_); trivial.
% 1.40/1.56 exact (zenon_H55 zenon_H56).
% 1.40/1.56 (* end of lemma zenon_L809_ *)
% 1.40/1.56 assert (zenon_L810_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_L770_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_L218_); trivial.
% 1.40/1.56 apply (zenon_L809_); trivial.
% 1.40/1.56 (* end of lemma zenon_L810_ *)
% 1.40/1.56 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_Hef zenon_H231 zenon_H133 zenon_H55 zenon_H7e zenon_H2a zenon_H1 zenon_H7 zenon_H139 zenon_H13a zenon_H13b zenon_H108 zenon_H124.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_L799_); trivial.
% 1.40/1.56 apply (zenon_L769_); trivial.
% 1.40/1.56 apply (zenon_L810_); trivial.
% 1.40/1.56 (* end of lemma zenon_L811_ *)
% 1.40/1.56 assert (zenon_L812_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_Hef zenon_H231 zenon_H133 zenon_H2a zenon_H1 zenon_H7 zenon_H108 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.56 apply (zenon_L216_); trivial.
% 1.40/1.56 apply (zenon_L811_); trivial.
% 1.40/1.56 (* end of lemma zenon_L812_ *)
% 1.40/1.56 assert (zenon_L813_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L27_); trivial.
% 1.40/1.56 apply (zenon_L802_); trivial.
% 1.40/1.56 (* end of lemma zenon_L813_ *)
% 1.40/1.56 assert (zenon_L814_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Haa zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.56 apply (zenon_L303_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.56 apply (zenon_L302_); trivial.
% 1.40/1.56 apply (zenon_L52_); trivial.
% 1.40/1.56 (* end of lemma zenon_L814_ *)
% 1.40/1.56 assert (zenon_L815_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a840))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H21d zenon_H1be zenon_Haa zenon_H7e zenon_H8e zenon_H90 zenon_H8f zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L27_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L343_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.56 apply (zenon_L305_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.56 apply (zenon_L814_); trivial.
% 1.40/1.56 exact (zenon_H1be zenon_H1bf).
% 1.40/1.56 (* end of lemma zenon_L815_ *)
% 1.40/1.56 assert (zenon_L816_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H101 zenon_Hac zenon_Haa zenon_H7e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.56 apply (zenon_L813_); trivial.
% 1.40/1.56 apply (zenon_L815_); trivial.
% 1.40/1.56 (* end of lemma zenon_L816_ *)
% 1.40/1.56 assert (zenon_L817_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H108 zenon_Hac zenon_Haa zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2a zenon_H7e zenon_H1c4 zenon_H54 zenon_Hef.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.56 apply (zenon_L395_); trivial.
% 1.40/1.56 apply (zenon_L816_); trivial.
% 1.40/1.56 (* end of lemma zenon_L817_ *)
% 1.40/1.56 assert (zenon_L818_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.56 apply (zenon_L560_); trivial.
% 1.40/1.56 apply (zenon_L377_); trivial.
% 1.40/1.56 (* end of lemma zenon_L818_ *)
% 1.40/1.56 assert (zenon_L819_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Hac zenon_H1c2 zenon_H5 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H109 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H3 zenon_H161 zenon_H165 zenon_H54.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L790_); trivial.
% 1.40/1.56 apply (zenon_L139_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L796_); trivial.
% 1.40/1.56 apply (zenon_L139_); trivial.
% 1.40/1.56 (* end of lemma zenon_L819_ *)
% 1.40/1.56 assert (zenon_L820_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.40/1.56 apply (zenon_L297_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.40/1.56 apply (zenon_L59_); trivial.
% 1.40/1.56 apply (zenon_L124_); trivial.
% 1.40/1.56 (* end of lemma zenon_L820_ *)
% 1.40/1.56 assert (zenon_L821_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.40/1.56 apply (zenon_L820_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.40/1.56 apply (zenon_L141_); trivial.
% 1.40/1.56 apply (zenon_L108_); trivial.
% 1.40/1.56 (* end of lemma zenon_L821_ *)
% 1.40/1.56 assert (zenon_L822_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.56 apply (zenon_L64_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.56 apply (zenon_L709_); trivial.
% 1.40/1.56 apply (zenon_L657_); trivial.
% 1.40/1.56 (* end of lemma zenon_L822_ *)
% 1.40/1.56 assert (zenon_L823_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.56 apply (zenon_L822_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.56 apply (zenon_L117_); trivial.
% 1.40/1.56 exact (zenon_H55 zenon_H56).
% 1.40/1.56 (* end of lemma zenon_L823_ *)
% 1.40/1.56 assert (zenon_L824_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H1c4 zenon_H5 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L91_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.56 apply (zenon_L823_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.56 apply (zenon_L788_); trivial.
% 1.40/1.56 exact (zenon_H5 zenon_H6).
% 1.40/1.56 (* end of lemma zenon_L824_ *)
% 1.40/1.56 assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H165 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H5 zenon_H1c4 zenon_H40.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L91_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.56 apply (zenon_L823_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.56 apply (zenon_L795_); trivial.
% 1.40/1.56 exact (zenon_H5 zenon_H6).
% 1.40/1.56 apply (zenon_L707_); trivial.
% 1.40/1.56 (* end of lemma zenon_L825_ *)
% 1.40/1.56 assert (zenon_L826_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H11d zenon_H11e zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H5 zenon_H1c4 zenon_H40 zenon_H1c2 zenon_Hac.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_L824_); trivial.
% 1.40/1.56 apply (zenon_L445_); trivial.
% 1.40/1.56 apply (zenon_L825_); trivial.
% 1.40/1.56 apply (zenon_L809_); trivial.
% 1.40/1.56 (* end of lemma zenon_L826_ *)
% 1.40/1.56 assert (zenon_L827_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H103 zenon_H86 zenon_H88 zenon_H1c4 zenon_Hac zenon_H54 zenon_H165 zenon_H10b zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H71 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.56 apply (zenon_L91_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.56 apply (zenon_L739_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.56 apply (zenon_L371_); trivial.
% 1.40/1.56 exact (zenon_H1be zenon_H1bf).
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.56 apply (zenon_L739_); trivial.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.56 apply (zenon_L821_); trivial.
% 1.40/1.56 exact (zenon_H1be zenon_H1bf).
% 1.40/1.56 apply (zenon_L707_); trivial.
% 1.40/1.56 apply (zenon_L255_); trivial.
% 1.40/1.56 apply (zenon_L826_); trivial.
% 1.40/1.56 (* end of lemma zenon_L827_ *)
% 1.40/1.56 assert (zenon_L828_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H178 zenon_H124 zenon_H11e zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H5 zenon_H1c4 zenon_H40 zenon_H1c2 zenon_Hac zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_L155_); trivial.
% 1.40/1.56 apply (zenon_L826_); trivial.
% 1.40/1.56 (* end of lemma zenon_L828_ *)
% 1.40/1.56 assert (zenon_L829_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H187 zenon_H18b zenon_H124 zenon_H11e zenon_H10b zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H88 zenon_H5 zenon_H1c4 zenon_H1c2 zenon_Hac zenon_H86 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hc2 zenon_H138.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.56 apply (zenon_L818_); trivial.
% 1.40/1.56 apply (zenon_L828_); trivial.
% 1.40/1.56 (* end of lemma zenon_L829_ *)
% 1.40/1.56 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.40/1.56 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H124 zenon_Hd4 zenon_H108 zenon_Hac zenon_H1c2 zenon_H5 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H86 zenon_H88 zenon_H10b zenon_H163 zenon_H2a zenon_H7e zenon_Hef zenon_H1f2 zenon_H11e zenon_H231 zenon_H1c4 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ca zenon_H18b.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.56 apply (zenon_L818_); trivial.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.56 apply (zenon_L819_); trivial.
% 1.40/1.56 apply (zenon_L119_); trivial.
% 1.40/1.56 apply (zenon_L120_); trivial.
% 1.40/1.56 apply (zenon_L255_); trivial.
% 1.40/1.56 apply (zenon_L215_); trivial.
% 1.40/1.56 apply (zenon_L827_); trivial.
% 1.40/1.56 apply (zenon_L829_); trivial.
% 1.40/1.56 (* end of lemma zenon_L830_ *)
% 1.40/1.56 assert (zenon_L831_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H80 zenon_Hac.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.57 apply (zenon_L803_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.57 apply (zenon_L797_); trivial.
% 1.40/1.57 apply (zenon_L70_); trivial.
% 1.40/1.57 apply (zenon_L766_); trivial.
% 1.40/1.57 (* end of lemma zenon_L831_ *)
% 1.40/1.57 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Had zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.57 apply (zenon_L797_); trivial.
% 1.40/1.57 apply (zenon_L95_); trivial.
% 1.40/1.57 (* end of lemma zenon_L832_ *)
% 1.40/1.57 assert (zenon_L833_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.57 apply (zenon_L791_); trivial.
% 1.40/1.57 apply (zenon_L95_); trivial.
% 1.40/1.57 apply (zenon_L832_); trivial.
% 1.40/1.57 (* end of lemma zenon_L833_ *)
% 1.40/1.57 assert (zenon_L834_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L833_); trivial.
% 1.40/1.57 apply (zenon_L255_); trivial.
% 1.40/1.57 (* end of lemma zenon_L834_ *)
% 1.40/1.57 assert (zenon_L835_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L833_); trivial.
% 1.40/1.57 apply (zenon_L766_); trivial.
% 1.40/1.57 (* end of lemma zenon_L835_ *)
% 1.40/1.57 assert (zenon_L836_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L834_); trivial.
% 1.40/1.57 apply (zenon_L835_); trivial.
% 1.40/1.57 (* end of lemma zenon_L836_ *)
% 1.40/1.57 assert (zenon_L837_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_H7e zenon_H55 zenon_H133 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H80 zenon_Hac.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L805_); trivial.
% 1.40/1.57 apply (zenon_L766_); trivial.
% 1.40/1.57 (* end of lemma zenon_L837_ *)
% 1.40/1.57 assert (zenon_L838_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1ca zenon_H231 zenon_H133 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H1bc zenon_He8 zenon_Hea zenon_Hd4 zenon_H55 zenon_H7e zenon_Hac zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e zenon_H102 zenon_H1 zenon_H10d zenon_H138.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L799_); trivial.
% 1.40/1.57 apply (zenon_L831_); trivial.
% 1.40/1.57 apply (zenon_L836_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L799_); trivial.
% 1.40/1.57 apply (zenon_L837_); trivial.
% 1.40/1.57 apply (zenon_L836_); trivial.
% 1.40/1.57 (* end of lemma zenon_L838_ *)
% 1.40/1.57 assert (zenon_L839_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H108 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H1 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.57 apply (zenon_L238_); trivial.
% 1.40/1.57 apply (zenon_L120_); trivial.
% 1.40/1.57 (* end of lemma zenon_L839_ *)
% 1.40/1.57 assert (zenon_L840_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L96_); trivial.
% 1.40/1.57 apply (zenon_L839_); trivial.
% 1.40/1.57 (* end of lemma zenon_L840_ *)
% 1.40/1.57 assert (zenon_L841_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H138 zenon_H11e zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_L522_); trivial.
% 1.40/1.57 apply (zenon_L840_); trivial.
% 1.40/1.57 (* end of lemma zenon_L841_ *)
% 1.40/1.57 assert (zenon_L842_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H23b zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H1be.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.57 apply (zenon_L389_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.57 apply (zenon_L795_); trivial.
% 1.40/1.57 exact (zenon_H1be zenon_H1bf).
% 1.40/1.57 (* end of lemma zenon_L842_ *)
% 1.40/1.57 assert (zenon_L843_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Had zenon_H40 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L26_); trivial.
% 1.40/1.57 apply (zenon_L842_); trivial.
% 1.40/1.57 (* end of lemma zenon_L843_ *)
% 1.40/1.57 assert (zenon_L844_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L26_); trivial.
% 1.40/1.57 apply (zenon_L789_); trivial.
% 1.40/1.57 apply (zenon_L843_); trivial.
% 1.40/1.57 (* end of lemma zenon_L844_ *)
% 1.40/1.57 assert (zenon_L845_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.57 apply (zenon_L207_); trivial.
% 1.40/1.57 apply (zenon_L707_); trivial.
% 1.40/1.57 (* end of lemma zenon_L845_ *)
% 1.40/1.57 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.57 apply (zenon_L161_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.57 apply (zenon_L763_); trivial.
% 1.40/1.57 apply (zenon_L229_); trivial.
% 1.40/1.57 (* end of lemma zenon_L846_ *)
% 1.40/1.57 assert (zenon_L847_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L845_); trivial.
% 1.40/1.57 apply (zenon_L846_); trivial.
% 1.40/1.57 (* end of lemma zenon_L847_ *)
% 1.40/1.57 assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H187 zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H124.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L155_); trivial.
% 1.40/1.57 apply (zenon_L847_); trivial.
% 1.40/1.57 apply (zenon_L555_); trivial.
% 1.40/1.57 (* end of lemma zenon_L848_ *)
% 1.40/1.57 assert (zenon_L849_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H165 zenon_H10b zenon_H119 zenon_H11e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138 zenon_H28e zenon_H28d zenon_H28c zenon_H27f zenon_H1d9.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.57 apply (zenon_L556_); trivial.
% 1.40/1.57 apply (zenon_L775_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.57 apply (zenon_L655_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.57 apply (zenon_L654_); trivial.
% 1.40/1.57 apply (zenon_L848_); trivial.
% 1.40/1.57 (* end of lemma zenon_L849_ *)
% 1.40/1.57 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H165 zenon_H10b zenon_H119 zenon_H11e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H133 zenon_H163 zenon_H108 zenon_H138 zenon_H27f zenon_H1d9 zenon_Hac zenon_H23b zenon_H59 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H21d zenon_H40 zenon_H1c2 zenon_H5 zenon_H20b.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.57 apply (zenon_L844_); trivial.
% 1.40/1.57 apply (zenon_L751_); trivial.
% 1.40/1.57 apply (zenon_L849_); trivial.
% 1.40/1.57 (* end of lemma zenon_L850_ *)
% 1.40/1.57 assert (zenon_L851_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L91_); trivial.
% 1.40/1.57 apply (zenon_L638_); trivial.
% 1.40/1.57 (* end of lemma zenon_L851_ *)
% 1.40/1.57 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp7)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H4f zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H125.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.57 apply (zenon_L396_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.57 apply (zenon_L100_); trivial.
% 1.40/1.57 apply (zenon_L19_); trivial.
% 1.40/1.57 exact (zenon_H125 zenon_H126).
% 1.40/1.57 (* end of lemma zenon_L852_ *)
% 1.40/1.57 assert (zenon_L853_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H10b zenon_H109 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.57 apply (zenon_L851_); trivial.
% 1.40/1.57 apply (zenon_L852_); trivial.
% 1.40/1.57 (* end of lemma zenon_L853_ *)
% 1.40/1.57 assert (zenon_L854_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H255 zenon_H1d9 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H40 zenon_H127 zenon_H125 zenon_H10b zenon_H165 zenon_H54 zenon_H86 zenon_H1e4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H1 zenon_H1d4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.40/1.57 apply (zenon_L397_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.57 apply (zenon_L244_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L853_); trivial.
% 1.40/1.57 apply (zenon_L733_); trivial.
% 1.40/1.57 (* end of lemma zenon_L854_ *)
% 1.40/1.57 assert (zenon_L855_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a800)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H5b zenon_H12 zenon_H244 zenon_H97 zenon_H246.
% 1.40/1.57 generalize (zenon_H5b (a800)). zenon_intro zenon_H2a3.
% 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a4 ].
% 1.40/1.57 exact (zenon_H11 zenon_H12).
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H24a | zenon_intro zenon_H288 ].
% 1.40/1.57 exact (zenon_H244 zenon_H24a).
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ].
% 1.40/1.57 apply (zenon_L631_); trivial.
% 1.40/1.57 exact (zenon_H24b zenon_H246).
% 1.40/1.57 (* end of lemma zenon_L855_ *)
% 1.40/1.57 assert (zenon_L856_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Hb4 zenon_H246 zenon_H97 zenon_H244 zenon_H12 zenon_Hb0 zenon_Hb2.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ].
% 1.40/1.57 apply (zenon_L855_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ].
% 1.40/1.57 exact (zenon_Hb0 zenon_Hb1).
% 1.40/1.57 exact (zenon_Hb2 zenon_Hb3).
% 1.40/1.57 (* end of lemma zenon_L856_ *)
% 1.40/1.57 assert (zenon_L857_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H103 zenon_Hb2 zenon_Hb0 zenon_H244 zenon_H246 zenon_Hb4 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.57 apply (zenon_L856_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.57 apply (zenon_L222_); trivial.
% 1.40/1.57 apply (zenon_L657_); trivial.
% 1.40/1.57 (* end of lemma zenon_L857_ *)
% 1.40/1.57 assert (zenon_L858_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H71 zenon_H246 zenon_H244 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.40/1.57 apply (zenon_L855_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.40/1.57 apply (zenon_L59_); trivial.
% 1.40/1.57 apply (zenon_L257_); trivial.
% 1.40/1.57 (* end of lemma zenon_L858_ *)
% 1.40/1.57 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Hbf zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H244 zenon_H246 zenon_H71 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.57 apply (zenon_L858_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.57 apply (zenon_L222_); trivial.
% 1.40/1.57 apply (zenon_L657_); trivial.
% 1.40/1.57 (* end of lemma zenon_L859_ *)
% 1.40/1.57 assert (zenon_L860_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1d8 zenon_Hc2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H28c zenon_H28d zenon_H28e zenon_H103.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.57 apply (zenon_L857_); trivial.
% 1.40/1.57 apply (zenon_L859_); trivial.
% 1.40/1.57 (* end of lemma zenon_L860_ *)
% 1.40/1.57 assert (zenon_L861_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_H23b.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.40/1.57 apply (zenon_L298_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.40/1.57 apply (zenon_L279_); trivial.
% 1.40/1.57 apply (zenon_L229_); trivial.
% 1.40/1.57 apply (zenon_L19_); trivial.
% 1.40/1.57 (* end of lemma zenon_L861_ *)
% 1.40/1.57 assert (zenon_L862_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.57 apply (zenon_L207_); trivial.
% 1.40/1.57 apply (zenon_L861_); trivial.
% 1.40/1.57 (* end of lemma zenon_L862_ *)
% 1.40/1.57 assert (zenon_L863_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H289 zenon_H255 zenon_H2a5 zenon_H1d9 zenon_H210 zenon_H20f zenon_H23b zenon_H10b zenon_H119 zenon_H11e zenon_H86 zenon_H1e4 zenon_H138 zenon_H102 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H20b zenon_H244 zenon_H245 zenon_H246 zenon_H1 zenon_H1d4.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.40/1.57 apply (zenon_L397_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.57 apply (zenon_L409_); trivial.
% 1.40/1.57 apply (zenon_L860_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.57 apply (zenon_L244_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L862_); trivial.
% 1.40/1.57 apply (zenon_L733_); trivial.
% 1.40/1.57 apply (zenon_L408_); trivial.
% 1.40/1.57 (* end of lemma zenon_L863_ *)
% 1.40/1.57 assert (zenon_L864_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H155 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H153.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.40/1.57 apply (zenon_L667_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.40/1.57 apply (zenon_L420_); trivial.
% 1.40/1.57 exact (zenon_H153 zenon_H154).
% 1.40/1.57 (* end of lemma zenon_L864_ *)
% 1.40/1.57 assert (zenon_L865_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L26_); trivial.
% 1.40/1.57 apply (zenon_L864_); trivial.
% 1.40/1.57 (* end of lemma zenon_L865_ *)
% 1.40/1.57 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp14)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H1d6 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H161.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ].
% 1.40/1.57 apply (zenon_L667_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ].
% 1.40/1.57 apply (zenon_L420_); trivial.
% 1.40/1.57 exact (zenon_H161 zenon_H162).
% 1.40/1.57 (* end of lemma zenon_L866_ *)
% 1.40/1.57 assert (zenon_L867_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L26_); trivial.
% 1.40/1.57 apply (zenon_L866_); trivial.
% 1.40/1.57 (* end of lemma zenon_L867_ *)
% 1.40/1.57 assert (zenon_L868_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H138 zenon_H124 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.57 apply (zenon_L708_); trivial.
% 1.40/1.57 apply (zenon_L573_); trivial.
% 1.40/1.57 (* end of lemma zenon_L868_ *)
% 1.40/1.57 assert (zenon_L869_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.57 apply (zenon_L144_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.57 apply (zenon_L432_); trivial.
% 1.40/1.57 apply (zenon_L657_); trivial.
% 1.40/1.57 (* end of lemma zenon_L869_ *)
% 1.40/1.57 assert (zenon_L870_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.40/1.57 apply (zenon_L442_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.40/1.57 apply (zenon_L144_); trivial.
% 1.40/1.57 apply (zenon_L108_); trivial.
% 1.40/1.57 (* end of lemma zenon_L870_ *)
% 1.40/1.57 assert (zenon_L871_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H5 zenon_H1c2 zenon_H10b zenon_H109 zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H4d zenon_H27f zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.57 apply (zenon_L91_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.57 apply (zenon_L869_); trivial.
% 1.40/1.57 apply (zenon_L870_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 exact (zenon_H4d zenon_H4e).
% 1.40/1.57 apply (zenon_L707_); trivial.
% 1.40/1.57 (* end of lemma zenon_L871_ *)
% 1.40/1.57 assert (zenon_L872_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H7e zenon_H110 zenon_H111 zenon_H112 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.57 apply (zenon_L763_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.57 apply (zenon_L869_); trivial.
% 1.40/1.57 exact (zenon_H55 zenon_H56).
% 1.40/1.57 (* end of lemma zenon_L872_ *)
% 1.40/1.57 assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H27f zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H15a zenon_H159 zenon_H158 zenon_H4d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.40/1.57 apply (zenon_L872_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 exact (zenon_H4d zenon_H4e).
% 1.40/1.57 (* end of lemma zenon_L873_ *)
% 1.40/1.57 assert (zenon_L874_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H55 zenon_H7e zenon_H40 zenon_H27f zenon_H4d zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H165 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L871_); trivial.
% 1.40/1.57 apply (zenon_L873_); trivial.
% 1.40/1.57 (* end of lemma zenon_L874_ *)
% 1.40/1.57 assert (zenon_L875_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H55 zenon_H7e zenon_H40 zenon_H27f zenon_H4d zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H231 zenon_H165 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L155_); trivial.
% 1.40/1.57 apply (zenon_L874_); trivial.
% 1.40/1.57 (* end of lemma zenon_L875_ *)
% 1.40/1.57 assert (zenon_L876_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H10b zenon_H54.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.57 apply (zenon_L446_); trivial.
% 1.40/1.57 apply (zenon_L809_); trivial.
% 1.40/1.57 (* end of lemma zenon_L876_ *)
% 1.40/1.57 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H55 zenon_H7e zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.57 apply (zenon_L440_); trivial.
% 1.40/1.57 apply (zenon_L876_); trivial.
% 1.40/1.57 (* end of lemma zenon_L877_ *)
% 1.40/1.57 assert (zenon_L878_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.57 apply (zenon_L216_); trivial.
% 1.40/1.57 apply (zenon_L877_); trivial.
% 1.40/1.57 (* end of lemma zenon_L878_ *)
% 1.40/1.57 assert (zenon_L879_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_Hea zenon_H7e zenon_H86 zenon_H185 zenon_H3c zenon_H165 zenon_H54 zenon_H10b zenon_H231 zenon_H4d zenon_H27f zenon_H11e zenon_H1ca zenon_H1d6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.57 apply (zenon_L865_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.57 apply (zenon_L867_); trivial.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.57 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.57 apply (zenon_L868_); trivial.
% 1.40/1.57 apply (zenon_L875_); trivial.
% 1.40/1.57 apply (zenon_L878_); trivial.
% 1.40/1.57 (* end of lemma zenon_L879_ *)
% 1.40/1.57 assert (zenon_L880_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H7e zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.57 apply (zenon_L325_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.57 apply (zenon_L433_); trivial.
% 1.40/1.57 exact (zenon_H55 zenon_H56).
% 1.40/1.57 (* end of lemma zenon_L880_ *)
% 1.40/1.57 assert (zenon_L881_ : (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp29)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hb0 zenon_H7e zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.57 apply (zenon_L880_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.57 apply (zenon_L15_); trivial.
% 1.40/1.57 exact (zenon_He8 zenon_He9).
% 1.40/1.57 (* end of lemma zenon_L881_ *)
% 1.40/1.57 assert (zenon_L882_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.57 apply (zenon_L64_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.57 apply (zenon_L709_); trivial.
% 1.40/1.57 apply (zenon_L72_); trivial.
% 1.40/1.57 (* end of lemma zenon_L882_ *)
% 1.40/1.57 assert (zenon_L883_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c3_1 (a829)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H41 zenon_H12 zenon_Hb6 zenon_Hb8 zenon_H2a6.
% 1.40/1.57 generalize (zenon_H41 (a829)). zenon_intro zenon_H2a7.
% 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a8 ].
% 1.40/1.57 exact (zenon_H11 zenon_H12).
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_Hbc | zenon_intro zenon_H2a9 ].
% 1.40/1.57 exact (zenon_Hbc zenon_Hb6).
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_Hbd | zenon_intro zenon_H2aa ].
% 1.40/1.57 exact (zenon_Hbd zenon_Hb8).
% 1.40/1.57 exact (zenon_H2aa zenon_H2a6).
% 1.40/1.57 (* end of lemma zenon_L883_ *)
% 1.40/1.57 assert (zenon_L884_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8.
% 1.40/1.57 generalize (zenon_Hd6 (a829)). zenon_intro zenon_H2ab.
% 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ac ].
% 1.40/1.57 exact (zenon_H11 zenon_H12).
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2ad ].
% 1.40/1.57 apply (zenon_L883_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 1.40/1.57 exact (zenon_Hbc zenon_Hb6).
% 1.40/1.57 exact (zenon_Hbd zenon_Hb8).
% 1.40/1.57 (* end of lemma zenon_L884_ *)
% 1.40/1.57 assert (zenon_L885_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.57 apply (zenon_L141_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.57 apply (zenon_L432_); trivial.
% 1.40/1.57 apply (zenon_L884_); trivial.
% 1.40/1.57 (* end of lemma zenon_L885_ *)
% 1.40/1.57 assert (zenon_L886_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hb8 zenon_Hb6 zenon_H41 zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.57 apply (zenon_L882_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.57 apply (zenon_L885_); trivial.
% 1.40/1.57 exact (zenon_H55 zenon_H56).
% 1.40/1.57 (* end of lemma zenon_L886_ *)
% 1.40/1.57 assert (zenon_L887_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H165 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.57 apply (zenon_L136_); trivial.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.57 apply (zenon_L433_); trivial.
% 1.40/1.57 apply (zenon_L886_); trivial.
% 1.40/1.57 (* end of lemma zenon_L887_ *)
% 1.40/1.57 assert (zenon_L888_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp7)) -> False).
% 1.40/1.57 do 0 intro. intros zenon_H127 zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_Hb6 zenon_Hb8 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_Hea zenon_He8 zenon_H165 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_H125.
% 1.40/1.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.58 apply (zenon_L887_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.58 apply (zenon_L15_); trivial.
% 1.40/1.58 exact (zenon_H125 zenon_H126).
% 1.40/1.58 (* end of lemma zenon_L888_ *)
% 1.40/1.58 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_Hbf zenon_H125 zenon_H165 zenon_Hea zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H264 zenon_H25a zenon_H258 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55 zenon_H127 zenon_H32 zenon_H31 zenon_H30 zenon_He8.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.58 apply (zenon_L888_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.58 apply (zenon_L15_); trivial.
% 1.40/1.58 exact (zenon_He8 zenon_He9).
% 1.40/1.58 (* end of lemma zenon_L889_ *)
% 1.40/1.58 assert (zenon_L890_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H165 zenon_H148 zenon_H147 zenon_H1a4 zenon_H125 zenon_H127 zenon_H7e zenon_H55 zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H17c zenon_H17d zenon_H17e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H233.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.58 apply (zenon_L881_); trivial.
% 1.40/1.58 apply (zenon_L889_); trivial.
% 1.40/1.58 (* end of lemma zenon_L890_ *)
% 1.40/1.58 assert (zenon_L891_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_Hc2 zenon_H165 zenon_H148 zenon_H147 zenon_H1a4 zenon_H125 zenon_H127 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H233 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L155_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L26_); trivial.
% 1.40/1.58 apply (zenon_L890_); trivial.
% 1.40/1.58 (* end of lemma zenon_L891_ *)
% 1.40/1.58 assert (zenon_L892_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H11e zenon_H231 zenon_H10b zenon_Hd4 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H233 zenon_H119 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H127 zenon_H125 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc2 zenon_H124 zenon_H138.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L708_); trivial.
% 1.40/1.58 apply (zenon_L891_); trivial.
% 1.40/1.58 apply (zenon_L878_); trivial.
% 1.40/1.58 (* end of lemma zenon_L892_ *)
% 1.40/1.58 assert (zenon_L893_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1ac zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1d6 zenon_H1ca zenon_H11e zenon_H27f zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H18b zenon_H18a zenon_H1d9.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.58 apply (zenon_L879_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.58 apply (zenon_L865_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.58 apply (zenon_L867_); trivial.
% 1.40/1.58 apply (zenon_L892_); trivial.
% 1.40/1.58 (* end of lemma zenon_L893_ *)
% 1.40/1.58 assert (zenon_L894_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L730_); trivial.
% 1.40/1.58 apply (zenon_L864_); trivial.
% 1.40/1.58 (* end of lemma zenon_L894_ *)
% 1.40/1.58 assert (zenon_L895_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L91_); trivial.
% 1.40/1.58 apply (zenon_L864_); trivial.
% 1.40/1.58 (* end of lemma zenon_L895_ *)
% 1.40/1.58 assert (zenon_L896_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.58 apply (zenon_L895_); trivial.
% 1.40/1.58 apply (zenon_L22_); trivial.
% 1.40/1.58 (* end of lemma zenon_L896_ *)
% 1.40/1.58 assert (zenon_L897_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.58 apply (zenon_L896_); trivial.
% 1.40/1.58 apply (zenon_L417_); trivial.
% 1.40/1.58 apply (zenon_L255_); trivial.
% 1.40/1.58 (* end of lemma zenon_L897_ *)
% 1.40/1.58 assert (zenon_L898_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H7e zenon_H86 zenon_H153 zenon_H1e4 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.58 apply (zenon_L234_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.58 apply (zenon_L869_); trivial.
% 1.40/1.58 exact (zenon_H55 zenon_H56).
% 1.40/1.58 (* end of lemma zenon_L898_ *)
% 1.40/1.58 assert (zenon_L899_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H1e4 zenon_H153 zenon_H86 zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.58 apply (zenon_L898_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.58 apply (zenon_L98_); trivial.
% 1.40/1.58 apply (zenon_L764_); trivial.
% 1.40/1.58 (* end of lemma zenon_L899_ *)
% 1.40/1.58 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H86 zenon_H153 zenon_H1e4 zenon_H264 zenon_H25a zenon_H258 zenon_H55 zenon_Haa zenon_H1be.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.58 apply (zenon_L161_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.58 apply (zenon_L718_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.58 apply (zenon_L898_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.58 apply (zenon_L899_); trivial.
% 1.40/1.58 exact (zenon_H1be zenon_H1bf).
% 1.40/1.58 (* end of lemma zenon_L900_ *)
% 1.40/1.58 assert (zenon_L901_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L897_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.58 apply (zenon_L896_); trivial.
% 1.40/1.58 apply (zenon_L661_); trivial.
% 1.40/1.58 apply (zenon_L900_); trivial.
% 1.40/1.58 (* end of lemma zenon_L901_ *)
% 1.40/1.58 assert (zenon_L902_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L894_); trivial.
% 1.40/1.58 apply (zenon_L901_); trivial.
% 1.40/1.58 (* end of lemma zenon_L902_ *)
% 1.40/1.58 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hb.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.40/1.58 apply (zenon_L527_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.40/1.58 apply (zenon_L11_); trivial.
% 1.40/1.58 exact (zenon_Hb zenon_Hc).
% 1.40/1.58 (* end of lemma zenon_L903_ *)
% 1.40/1.58 assert (zenon_L904_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hb zenon_Hd zenon_Hf.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.40/1.58 apply (zenon_L8_); trivial.
% 1.40/1.58 apply (zenon_L903_); trivial.
% 1.40/1.58 (* end of lemma zenon_L904_ *)
% 1.40/1.58 assert (zenon_L905_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L904_); trivial.
% 1.40/1.58 apply (zenon_L864_); trivial.
% 1.40/1.58 (* end of lemma zenon_L905_ *)
% 1.40/1.58 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L905_); trivial.
% 1.40/1.58 apply (zenon_L772_); trivial.
% 1.40/1.58 (* end of lemma zenon_L906_ *)
% 1.40/1.58 assert (zenon_L907_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L507_); trivial.
% 1.40/1.58 apply (zenon_L866_); trivial.
% 1.40/1.58 (* end of lemma zenon_L907_ *)
% 1.40/1.58 assert (zenon_L908_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L91_); trivial.
% 1.40/1.58 apply (zenon_L567_); trivial.
% 1.40/1.58 (* end of lemma zenon_L908_ *)
% 1.40/1.58 assert (zenon_L909_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H80 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.58 apply (zenon_L908_); trivial.
% 1.40/1.58 apply (zenon_L22_); trivial.
% 1.40/1.58 apply (zenon_L661_); trivial.
% 1.40/1.58 (* end of lemma zenon_L909_ *)
% 1.40/1.58 assert (zenon_L910_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H11e zenon_H27f zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H80.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.58 apply (zenon_L909_); trivial.
% 1.40/1.58 apply (zenon_L873_); trivial.
% 1.40/1.58 (* end of lemma zenon_L910_ *)
% 1.40/1.58 assert (zenon_L911_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H27f zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L907_); trivial.
% 1.40/1.58 apply (zenon_L910_); trivial.
% 1.40/1.58 (* end of lemma zenon_L911_ *)
% 1.40/1.58 assert (zenon_L912_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.58 apply (zenon_L441_); trivial.
% 1.40/1.58 apply (zenon_L877_); trivial.
% 1.40/1.58 (* end of lemma zenon_L912_ *)
% 1.40/1.58 assert (zenon_L913_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H27f zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L155_); trivial.
% 1.40/1.58 apply (zenon_L910_); trivial.
% 1.40/1.58 (* end of lemma zenon_L913_ *)
% 1.40/1.58 assert (zenon_L914_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L732_); trivial.
% 1.40/1.58 apply (zenon_L913_); trivial.
% 1.40/1.58 (* end of lemma zenon_L914_ *)
% 1.40/1.58 assert (zenon_L915_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H18c zenon_H18a zenon_H1ca zenon_H231 zenon_H54 zenon_H165 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H3c zenon_H40 zenon_H1d6 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1bc zenon_H133 zenon_Hea zenon_H80 zenon_H10d zenon_H125 zenon_H127 zenon_Hd4 zenon_H55 zenon_H119 zenon_H7e zenon_H10b zenon_H4d zenon_H50 zenon_H27f zenon_H11e zenon_H124 zenon_H138 zenon_H18b.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L732_); trivial.
% 1.40/1.58 apply (zenon_L911_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L732_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L907_); trivial.
% 1.40/1.58 apply (zenon_L874_); trivial.
% 1.40/1.58 apply (zenon_L912_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.58 apply (zenon_L914_); trivial.
% 1.40/1.58 apply (zenon_L875_); trivial.
% 1.40/1.58 apply (zenon_L912_); trivial.
% 1.40/1.58 (* end of lemma zenon_L915_ *)
% 1.40/1.58 assert (zenon_L916_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H27f zenon_H12c zenon_H12b zenon_H12a zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H4d.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.40/1.58 apply (zenon_L319_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.40/1.58 apply (zenon_L136_); trivial.
% 1.40/1.58 exact (zenon_H4d zenon_H4e).
% 1.40/1.58 (* end of lemma zenon_L916_ *)
% 1.40/1.58 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H27f zenon_H4d zenon_H15a zenon_H159 zenon_H158 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L155_); trivial.
% 1.40/1.58 apply (zenon_L916_); trivial.
% 1.40/1.58 (* end of lemma zenon_L917_ *)
% 1.40/1.58 assert (zenon_L918_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_Hea zenon_H119 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.58 apply (zenon_L493_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.58 apply (zenon_L494_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.58 apply (zenon_L914_); trivial.
% 1.40/1.58 apply (zenon_L917_); trivial.
% 1.40/1.58 apply (zenon_L878_); trivial.
% 1.40/1.58 (* end of lemma zenon_L918_ *)
% 1.40/1.58 assert (zenon_L919_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.58 apply (zenon_L730_); trivial.
% 1.40/1.58 apply (zenon_L706_); trivial.
% 1.40/1.58 (* end of lemma zenon_L919_ *)
% 1.40/1.58 assert (zenon_L920_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.58 apply (zenon_L882_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.58 apply (zenon_L674_); trivial.
% 1.40/1.58 exact (zenon_H55 zenon_H56).
% 1.40/1.58 (* end of lemma zenon_L920_ *)
% 1.40/1.58 assert (zenon_L921_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_Hea zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H42 zenon_H5 zenon_H119 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.58 apply (zenon_L920_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.58 apply (zenon_L101_); trivial.
% 1.40/1.58 exact (zenon_He8 zenon_He9).
% 1.40/1.58 (* end of lemma zenon_L921_ *)
% 1.40/1.58 assert (zenon_L922_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H4f zenon_H127 zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hea zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.58 apply (zenon_L921_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.58 apply (zenon_L101_); trivial.
% 1.40/1.58 exact (zenon_H125 zenon_H126).
% 1.40/1.58 (* end of lemma zenon_L922_ *)
% 1.40/1.58 assert (zenon_L923_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H7e zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.58 apply (zenon_L822_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.58 apply (zenon_L869_); trivial.
% 1.40/1.58 exact (zenon_H55 zenon_H56).
% 1.40/1.58 (* end of lemma zenon_L923_ *)
% 1.40/1.58 assert (zenon_L924_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.58 apply (zenon_L161_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.58 apply (zenon_L169_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.58 apply (zenon_L923_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.58 apply (zenon_L822_); trivial.
% 1.40/1.58 apply (zenon_L764_); trivial.
% 1.40/1.58 (* end of lemma zenon_L924_ *)
% 1.40/1.58 assert (zenon_L925_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp5)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H121 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H55 zenon_Haa zenon_H1c2 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H5.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.58 apply (zenon_L924_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.58 apply (zenon_L161_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.58 apply (zenon_L718_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.58 apply (zenon_L872_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.58 apply (zenon_L98_); trivial.
% 1.40/1.58 apply (zenon_L764_); trivial.
% 1.40/1.58 exact (zenon_H5 zenon_H6).
% 1.40/1.58 (* end of lemma zenon_L925_ *)
% 1.40/1.58 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H55 zenon_H7e zenon_H125 zenon_H127 zenon_H54.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.58 apply (zenon_L895_); trivial.
% 1.40/1.58 apply (zenon_L922_); trivial.
% 1.40/1.58 apply (zenon_L925_); trivial.
% 1.40/1.58 (* end of lemma zenon_L926_ *)
% 1.40/1.58 assert (zenon_L927_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H54 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L919_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L907_); trivial.
% 1.40/1.58 apply (zenon_L926_); trivial.
% 1.40/1.58 (* end of lemma zenon_L927_ *)
% 1.40/1.58 assert (zenon_L928_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H178 zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L894_); trivial.
% 1.40/1.58 apply (zenon_L810_); trivial.
% 1.40/1.58 (* end of lemma zenon_L928_ *)
% 1.40/1.58 assert (zenon_L929_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H55 zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L894_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L155_); trivial.
% 1.40/1.58 apply (zenon_L926_); trivial.
% 1.40/1.58 (* end of lemma zenon_L929_ *)
% 1.40/1.58 assert (zenon_L930_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H109 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.58 apply (zenon_L908_); trivial.
% 1.40/1.58 apply (zenon_L707_); trivial.
% 1.40/1.58 (* end of lemma zenon_L930_ *)
% 1.40/1.58 assert (zenon_L931_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H1a2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_H7e zenon_H10b zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L732_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.58 apply (zenon_L907_); trivial.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.58 apply (zenon_L930_); trivial.
% 1.40/1.58 apply (zenon_L925_); trivial.
% 1.40/1.58 (* end of lemma zenon_L931_ *)
% 1.40/1.58 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.58 apply (zenon_L732_); trivial.
% 1.40/1.58 apply (zenon_L772_); trivial.
% 1.40/1.58 (* end of lemma zenon_L932_ *)
% 1.40/1.58 assert (zenon_L933_ : (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1dc zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.40/1.58 generalize (zenon_H1dc (a829)). zenon_intro zenon_H2ae.
% 1.40/1.58 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H11 | zenon_intro zenon_H2af ].
% 1.40/1.58 exact (zenon_H11 zenon_H12).
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2b0 ].
% 1.40/1.58 apply (zenon_L883_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbe ].
% 1.40/1.58 exact (zenon_Hbc zenon_Hb6).
% 1.40/1.58 exact (zenon_Hbe zenon_Hb7).
% 1.40/1.58 (* end of lemma zenon_L933_ *)
% 1.40/1.58 assert (zenon_L934_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.58 apply (zenon_L136_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.58 apply (zenon_L869_); trivial.
% 1.40/1.58 apply (zenon_L933_); trivial.
% 1.40/1.58 (* end of lemma zenon_L934_ *)
% 1.40/1.58 assert (zenon_L935_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.58 apply (zenon_L141_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.58 apply (zenon_L432_); trivial.
% 1.40/1.58 apply (zenon_L657_); trivial.
% 1.40/1.58 (* end of lemma zenon_L935_ *)
% 1.40/1.58 assert (zenon_L936_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.58 apply (zenon_L136_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.58 apply (zenon_L935_); trivial.
% 1.40/1.58 apply (zenon_L933_); trivial.
% 1.40/1.58 (* end of lemma zenon_L936_ *)
% 1.40/1.58 assert (zenon_L937_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.58 apply (zenon_L161_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.58 apply (zenon_L98_); trivial.
% 1.40/1.58 apply (zenon_L936_); trivial.
% 1.40/1.58 (* end of lemma zenon_L937_ *)
% 1.40/1.58 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.40/1.58 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H1be zenon_H21d zenon_H148 zenon_H147 zenon_H1a4 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H5.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.58 apply (zenon_L161_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.58 apply (zenon_L822_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.58 apply (zenon_L934_); trivial.
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.58 apply (zenon_L936_); trivial.
% 1.40/1.58 exact (zenon_H1be zenon_H1bf).
% 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.58 apply (zenon_L937_); trivial.
% 1.40/1.58 exact (zenon_H5 zenon_H6).
% 1.40/1.58 (* end of lemma zenon_L938_ *)
% 1.40/1.58 assert (zenon_L939_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_Hc2 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H21d zenon_H1be zenon_H1e2 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H233 zenon_H1a2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H10b zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L732_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L155_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L930_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.59 apply (zenon_L161_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.59 apply (zenon_L718_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.59 apply (zenon_L872_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.59 apply (zenon_L325_); trivial.
% 1.40/1.59 apply (zenon_L764_); trivial.
% 1.40/1.59 apply (zenon_L938_); trivial.
% 1.40/1.59 (* end of lemma zenon_L939_ *)
% 1.40/1.59 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H121 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Haa zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_Hd9 zenon_Hd7 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55 zenon_H103 zenon_H5.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.59 apply (zenon_L924_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.59 apply (zenon_L872_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.59 apply (zenon_L222_); trivial.
% 1.40/1.59 apply (zenon_L72_); trivial.
% 1.40/1.59 exact (zenon_H5 zenon_H6).
% 1.40/1.59 (* end of lemma zenon_L940_ *)
% 1.40/1.59 assert (zenon_L941_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L907_); trivial.
% 1.40/1.59 apply (zenon_L235_); trivial.
% 1.40/1.59 (* end of lemma zenon_L941_ *)
% 1.40/1.59 assert (zenon_L942_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L894_); trivial.
% 1.40/1.59 apply (zenon_L941_); trivial.
% 1.40/1.59 (* end of lemma zenon_L942_ *)
% 1.40/1.59 assert (zenon_L943_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_L474_); trivial.
% 1.40/1.59 apply (zenon_L864_); trivial.
% 1.40/1.59 (* end of lemma zenon_L943_ *)
% 1.40/1.59 assert (zenon_L944_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.59 apply (zenon_L231_); trivial.
% 1.40/1.59 apply (zenon_L170_); trivial.
% 1.40/1.59 (* end of lemma zenon_L944_ *)
% 1.40/1.59 assert (zenon_L945_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H121 zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.59 apply (zenon_L591_); trivial.
% 1.40/1.59 apply (zenon_L170_); trivial.
% 1.40/1.59 (* end of lemma zenon_L945_ *)
% 1.40/1.59 assert (zenon_L946_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H153 zenon_H1e4 zenon_H108 zenon_H2a zenon_H10b zenon_H54 zenon_H133 zenon_H11e zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.59 apply (zenon_L587_); trivial.
% 1.40/1.59 apply (zenon_L170_); trivial.
% 1.40/1.59 apply (zenon_L215_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L590_); trivial.
% 1.40/1.59 apply (zenon_L945_); trivial.
% 1.40/1.59 apply (zenon_L235_); trivial.
% 1.40/1.59 (* end of lemma zenon_L946_ *)
% 1.40/1.59 assert (zenon_L947_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H18a zenon_H138 zenon_H124 zenon_H153 zenon_H1e4 zenon_H2a zenon_Hea zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H163 zenon_H2e zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef zenon_H7e zenon_H55 zenon_Hd4 zenon_H11e zenon_H54 zenon_H10b zenon_H1ca zenon_H18b.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L944_); trivial.
% 1.40/1.59 apply (zenon_L585_); trivial.
% 1.40/1.59 apply (zenon_L946_); trivial.
% 1.40/1.59 apply (zenon_L241_); trivial.
% 1.40/1.59 (* end of lemma zenon_L947_ *)
% 1.40/1.59 assert (zenon_L948_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H185 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H8a zenon_H86.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.59 apply (zenon_L136_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.59 apply (zenon_L935_); trivial.
% 1.40/1.59 apply (zenon_L439_); trivial.
% 1.40/1.59 (* end of lemma zenon_L948_ *)
% 1.40/1.59 assert (zenon_L949_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp20)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H8a zenon_H86 zenon_H185 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.40/1.59 apply (zenon_L8_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.59 apply (zenon_L136_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.59 apply (zenon_L948_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.59 apply (zenon_L462_); trivial.
% 1.40/1.59 exact (zenon_He8 zenon_He9).
% 1.40/1.59 apply (zenon_L439_); trivial.
% 1.40/1.59 apply (zenon_L17_); trivial.
% 1.40/1.59 apply (zenon_L707_); trivial.
% 1.40/1.59 (* end of lemma zenon_L949_ *)
% 1.40/1.59 assert (zenon_L950_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.59 apply (zenon_L161_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.59 apply (zenon_L822_); trivial.
% 1.40/1.59 apply (zenon_L229_); trivial.
% 1.40/1.59 (* end of lemma zenon_L950_ *)
% 1.40/1.59 assert (zenon_L951_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H39 zenon_H109 zenon_H10b.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_L91_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.59 apply (zenon_L950_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.59 apply (zenon_L15_); trivial.
% 1.40/1.59 exact (zenon_H125 zenon_H126).
% 1.40/1.59 (* end of lemma zenon_L951_ *)
% 1.40/1.59 assert (zenon_L952_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_L951_); trivial.
% 1.40/1.59 apply (zenon_L707_); trivial.
% 1.40/1.59 (* end of lemma zenon_L952_ *)
% 1.40/1.59 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L952_); trivial.
% 1.40/1.59 apply (zenon_L846_); trivial.
% 1.40/1.59 (* end of lemma zenon_L953_ *)
% 1.40/1.59 assert (zenon_L954_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H1bc zenon_H8c zenon_H161 zenon_H1d6 zenon_H54 zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H86 zenon_H185 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_Hf zenon_H3c zenon_H40 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1a4 zenon_H147 zenon_H148 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H11e zenon_H124.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L949_); trivial.
% 1.40/1.59 apply (zenon_L953_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L907_); trivial.
% 1.40/1.59 apply (zenon_L953_); trivial.
% 1.40/1.59 (* end of lemma zenon_L954_ *)
% 1.40/1.59 assert (zenon_L955_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H187 zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H86 zenon_H185.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L155_); trivial.
% 1.40/1.59 apply (zenon_L953_); trivial.
% 1.40/1.59 (* end of lemma zenon_L955_ *)
% 1.40/1.59 assert (zenon_L956_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1c6 zenon_H1c8 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L407_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L218_); trivial.
% 1.40/1.59 apply (zenon_L733_); trivial.
% 1.40/1.59 (* end of lemma zenon_L956_ *)
% 1.40/1.59 assert (zenon_L957_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.59 apply (zenon_L243_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.59 apply (zenon_L432_); trivial.
% 1.40/1.59 apply (zenon_L657_); trivial.
% 1.40/1.59 (* end of lemma zenon_L957_ *)
% 1.40/1.59 assert (zenon_L958_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H41 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.59 apply (zenon_L243_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.59 apply (zenon_L414_); trivial.
% 1.40/1.59 apply (zenon_L657_); trivial.
% 1.40/1.59 (* end of lemma zenon_L958_ *)
% 1.40/1.59 assert (zenon_L959_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H18c zenon_H165 zenon_H264 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.59 apply (zenon_L136_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.59 apply (zenon_L957_); trivial.
% 1.40/1.59 apply (zenon_L958_); trivial.
% 1.40/1.59 (* end of lemma zenon_L959_ *)
% 1.40/1.59 assert (zenon_L960_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H20c zenon_H20b zenon_H1d9 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.59 apply (zenon_L956_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.59 apply (zenon_L493_); trivial.
% 1.40/1.59 apply (zenon_L959_); trivial.
% 1.40/1.59 (* end of lemma zenon_L960_ *)
% 1.40/1.59 assert (zenon_L961_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H4d zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.59 apply (zenon_L865_); trivial.
% 1.40/1.59 apply (zenon_L775_); trivial.
% 1.40/1.59 (* end of lemma zenon_L961_ *)
% 1.40/1.59 assert (zenon_L962_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_L758_); trivial.
% 1.40/1.59 apply (zenon_L864_); trivial.
% 1.40/1.59 (* end of lemma zenon_L962_ *)
% 1.40/1.59 assert (zenon_L963_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_L895_); trivial.
% 1.40/1.59 apply (zenon_L962_); trivial.
% 1.40/1.59 (* end of lemma zenon_L963_ *)
% 1.40/1.59 assert (zenon_L964_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L963_); trivial.
% 1.40/1.59 apply (zenon_L255_); trivial.
% 1.40/1.59 (* end of lemma zenon_L964_ *)
% 1.40/1.59 assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L963_); trivial.
% 1.40/1.59 apply (zenon_L766_); trivial.
% 1.40/1.59 (* end of lemma zenon_L965_ *)
% 1.40/1.59 assert (zenon_L966_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L964_); trivial.
% 1.40/1.59 apply (zenon_L965_); trivial.
% 1.40/1.59 (* end of lemma zenon_L966_ *)
% 1.40/1.59 assert (zenon_L967_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H4d zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H119 zenon_H1a2 zenon_H124.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.59 apply (zenon_L966_); trivial.
% 1.40/1.59 apply (zenon_L775_); trivial.
% 1.40/1.59 (* end of lemma zenon_L967_ *)
% 1.40/1.59 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.59 apply (zenon_L161_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.59 apply (zenon_L169_); trivial.
% 1.40/1.59 apply (zenon_L765_); trivial.
% 1.40/1.59 (* end of lemma zenon_L968_ *)
% 1.40/1.59 assert (zenon_L969_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L963_); trivial.
% 1.40/1.59 apply (zenon_L968_); trivial.
% 1.40/1.59 (* end of lemma zenon_L969_ *)
% 1.40/1.59 assert (zenon_L970_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L964_); trivial.
% 1.40/1.59 apply (zenon_L969_); trivial.
% 1.40/1.59 (* end of lemma zenon_L970_ *)
% 1.40/1.59 assert (zenon_L971_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L845_); trivial.
% 1.40/1.59 apply (zenon_L255_); trivial.
% 1.40/1.59 (* end of lemma zenon_L971_ *)
% 1.40/1.59 assert (zenon_L972_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_L845_); trivial.
% 1.40/1.59 apply (zenon_L968_); trivial.
% 1.40/1.59 (* end of lemma zenon_L972_ *)
% 1.40/1.59 assert (zenon_L973_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L971_); trivial.
% 1.40/1.59 apply (zenon_L972_); trivial.
% 1.40/1.59 (* end of lemma zenon_L973_ *)
% 1.40/1.59 assert (zenon_L974_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp6)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H209 zenon_H55 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H42 zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H207.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.40/1.59 apply (zenon_L920_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.40/1.59 apply (zenon_L279_); trivial.
% 1.40/1.59 exact (zenon_H207 zenon_H208).
% 1.40/1.59 (* end of lemma zenon_L974_ *)
% 1.40/1.59 assert (zenon_L975_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp6)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp5)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He8 zenon_Hd2 zenon_Hd4 zenon_Hea zenon_H207 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H209 zenon_H5.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.59 apply (zenon_L921_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.59 apply (zenon_L974_); trivial.
% 1.40/1.59 exact (zenon_H5 zenon_H6).
% 1.40/1.59 (* end of lemma zenon_L975_ *)
% 1.40/1.59 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H10b zenon_H148 zenon_H147 zenon_H1a4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c4 zenon_H54.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_L908_); trivial.
% 1.40/1.59 apply (zenon_L975_); trivial.
% 1.40/1.59 apply (zenon_L766_); trivial.
% 1.40/1.59 (* end of lemma zenon_L976_ *)
% 1.40/1.59 assert (zenon_L977_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H209 zenon_H207 zenon_H1c4 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H124.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L973_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L907_); trivial.
% 1.40/1.59 apply (zenon_L976_); trivial.
% 1.40/1.59 (* end of lemma zenon_L977_ *)
% 1.40/1.59 assert (zenon_L978_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L155_); trivial.
% 1.40/1.59 apply (zenon_L972_); trivial.
% 1.40/1.59 (* end of lemma zenon_L978_ *)
% 1.40/1.59 assert (zenon_L979_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H138 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H209 zenon_H207 zenon_H1c4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H11e zenon_H124.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.59 apply (zenon_L978_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L155_); trivial.
% 1.40/1.59 apply (zenon_L976_); trivial.
% 1.40/1.59 (* end of lemma zenon_L979_ *)
% 1.40/1.59 assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.59 apply (zenon_L524_); trivial.
% 1.40/1.59 apply (zenon_L771_); trivial.
% 1.40/1.59 (* end of lemma zenon_L980_ *)
% 1.40/1.59 assert (zenon_L981_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.59 apply (zenon_L574_); trivial.
% 1.40/1.59 apply (zenon_L878_); trivial.
% 1.40/1.59 (* end of lemma zenon_L981_ *)
% 1.40/1.59 assert (zenon_L982_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H3c zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.59 apply (zenon_L865_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.59 apply (zenon_L867_); trivial.
% 1.40/1.59 apply (zenon_L981_); trivial.
% 1.40/1.59 (* end of lemma zenon_L982_ *)
% 1.40/1.59 assert (zenon_L983_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_L343_); trivial.
% 1.40/1.59 apply (zenon_L864_); trivial.
% 1.40/1.59 (* end of lemma zenon_L983_ *)
% 1.40/1.59 assert (zenon_L984_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_L207_); trivial.
% 1.40/1.59 apply (zenon_L983_); trivial.
% 1.40/1.59 (* end of lemma zenon_L984_ *)
% 1.40/1.59 assert (zenon_L985_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_L676_); trivial.
% 1.40/1.59 apply (zenon_L864_); trivial.
% 1.40/1.59 (* end of lemma zenon_L985_ *)
% 1.40/1.59 assert (zenon_L986_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.59 apply (zenon_L44_); trivial.
% 1.40/1.59 apply (zenon_L985_); trivial.
% 1.40/1.59 (* end of lemma zenon_L986_ *)
% 1.40/1.59 assert (zenon_L987_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.59 apply (zenon_L371_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.59 apply (zenon_L101_); trivial.
% 1.40/1.59 exact (zenon_He8 zenon_He9).
% 1.40/1.59 (* end of lemma zenon_L987_ *)
% 1.40/1.59 assert (zenon_L988_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.40/1.59 apply (zenon_L297_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.40/1.59 apply (zenon_L59_); trivial.
% 1.40/1.59 apply (zenon_L11_); trivial.
% 1.40/1.59 (* end of lemma zenon_L988_ *)
% 1.40/1.59 assert (zenon_L989_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.59 apply (zenon_L988_); trivial.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.59 apply (zenon_L101_); trivial.
% 1.40/1.59 exact (zenon_He8 zenon_He9).
% 1.40/1.59 (* end of lemma zenon_L989_ *)
% 1.40/1.59 assert (zenon_L990_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.59 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.59 apply (zenon_L987_); trivial.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.59 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.40/1.59 apply (zenon_L8_); trivial.
% 1.40/1.59 apply (zenon_L989_); trivial.
% 1.40/1.59 apply (zenon_L864_); trivial.
% 1.40/1.59 (* end of lemma zenon_L990_ *)
% 1.40/1.59 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H11d zenon_Hac zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_Hb2 zenon_Hb4 zenon_Hc2 zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.60 apply (zenon_L986_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L580_); trivial.
% 1.40/1.60 apply (zenon_L990_); trivial.
% 1.40/1.60 (* end of lemma zenon_L991_ *)
% 1.40/1.60 assert (zenon_L992_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H124 zenon_Hac zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_Hb4 zenon_Hc2 zenon_H133 zenon_H86 zenon_H88 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_L984_); trivial.
% 1.40/1.60 apply (zenon_L255_); trivial.
% 1.40/1.60 apply (zenon_L991_); trivial.
% 1.40/1.60 (* end of lemma zenon_L992_ *)
% 1.40/1.60 assert (zenon_L993_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H1a2 zenon_H119 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H8c zenon_H4d zenon_H50 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H88 zenon_H86 zenon_H133 zenon_Hc2 zenon_Hb4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L992_); trivial.
% 1.40/1.60 apply (zenon_L901_); trivial.
% 1.40/1.60 (* end of lemma zenon_L993_ *)
% 1.40/1.60 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L905_); trivial.
% 1.40/1.60 apply (zenon_L808_); trivial.
% 1.40/1.60 (* end of lemma zenon_L994_ *)
% 1.40/1.60 assert (zenon_L995_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_Hac zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L44_); trivial.
% 1.40/1.60 apply (zenon_L559_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L580_); trivial.
% 1.40/1.60 apply (zenon_L707_); trivial.
% 1.40/1.60 (* end of lemma zenon_L995_ *)
% 1.40/1.60 assert (zenon_L996_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L995_); trivial.
% 1.40/1.60 apply (zenon_L913_); trivial.
% 1.40/1.60 (* end of lemma zenon_L996_ *)
% 1.40/1.60 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H119 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.60 apply (zenon_L493_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.60 apply (zenon_L494_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.60 apply (zenon_L996_); trivial.
% 1.40/1.60 apply (zenon_L917_); trivial.
% 1.40/1.60 apply (zenon_L878_); trivial.
% 1.40/1.60 (* end of lemma zenon_L997_ *)
% 1.40/1.60 assert (zenon_L998_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.40/1.60 apply (zenon_L297_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.40/1.60 apply (zenon_L59_); trivial.
% 1.40/1.60 apply (zenon_L35_); trivial.
% 1.40/1.60 (* end of lemma zenon_L998_ *)
% 1.40/1.60 assert (zenon_L999_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.60 apply (zenon_L882_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.60 apply (zenon_L998_); trivial.
% 1.40/1.60 exact (zenon_H55 zenon_H56).
% 1.40/1.60 (* end of lemma zenon_L999_ *)
% 1.40/1.60 assert (zenon_L1000_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H127 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.60 apply (zenon_L999_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.60 apply (zenon_L101_); trivial.
% 1.40/1.60 exact (zenon_H125 zenon_H126).
% 1.40/1.60 (* end of lemma zenon_L1000_ *)
% 1.40/1.60 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp7)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H125 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H127 zenon_H55 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.60 apply (zenon_L1000_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.60 apply (zenon_L101_); trivial.
% 1.40/1.60 exact (zenon_He8 zenon_He9).
% 1.40/1.60 (* end of lemma zenon_L1001_ *)
% 1.40/1.60 assert (zenon_L1002_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H71 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H125 zenon_H127 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He8 zenon_Hea.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.60 apply (zenon_L987_); trivial.
% 1.40/1.60 apply (zenon_L1001_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1002_ *)
% 1.40/1.60 assert (zenon_L1003_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H1e4 zenon_H153 zenon_H86 zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.60 apply (zenon_L161_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.60 apply (zenon_L718_); trivial.
% 1.40/1.60 apply (zenon_L899_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1003_ *)
% 1.40/1.60 assert (zenon_L1004_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1c4 zenon_H1e4 zenon_H86 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H127 zenon_H125 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H71 zenon_Hc2 zenon_H54.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L895_); trivial.
% 1.40/1.60 apply (zenon_L1002_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.60 apply (zenon_L924_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.60 apply (zenon_L1003_); trivial.
% 1.40/1.60 exact (zenon_H5 zenon_H6).
% 1.40/1.60 (* end of lemma zenon_L1004_ *)
% 1.40/1.60 assert (zenon_L1005_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H1e4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H127 zenon_H125 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H8c zenon_H185 zenon_H161 zenon_H1d6 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H88 zenon_H86 zenon_H133 zenon_Hc2 zenon_Hb4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L992_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L907_); trivial.
% 1.40/1.60 apply (zenon_L1004_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1005_ *)
% 1.40/1.60 assert (zenon_L1006_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1c4 zenon_H1e4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_H127 zenon_H125 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_Hc2 zenon_Hb4 zenon_Hb2 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L155_); trivial.
% 1.40/1.60 apply (zenon_L991_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L155_); trivial.
% 1.40/1.60 apply (zenon_L1004_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1006_ *)
% 1.40/1.60 assert (zenon_L1007_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H18a zenon_H1ca zenon_H21d zenon_H1be zenon_H103 zenon_H1c8 zenon_H1c6 zenon_H124 zenon_Hac zenon_Hd4 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hc2 zenon_H133 zenon_H86 zenon_H88 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H10b zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H1d6 zenon_H185 zenon_H8c zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H125 zenon_H127 zenon_H1a2 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H1e4 zenon_H1c4 zenon_H138 zenon_H18b.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.60 apply (zenon_L1005_); trivial.
% 1.40/1.60 apply (zenon_L994_); trivial.
% 1.40/1.60 apply (zenon_L928_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.60 apply (zenon_L1006_); trivial.
% 1.40/1.60 apply (zenon_L994_); trivial.
% 1.40/1.60 apply (zenon_L928_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1007_ *)
% 1.40/1.60 assert (zenon_L1008_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H10b zenon_H109 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L908_); trivial.
% 1.40/1.60 apply (zenon_L559_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1008_ *)
% 1.40/1.60 assert (zenon_L1009_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1c4 zenon_H1be zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55 zenon_H21d zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H5.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.60 apply (zenon_L923_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.60 apply (zenon_L371_); trivial.
% 1.40/1.60 exact (zenon_H1be zenon_H1bf).
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.60 apply (zenon_L371_); trivial.
% 1.40/1.60 exact (zenon_H5 zenon_H6).
% 1.40/1.60 (* end of lemma zenon_L1009_ *)
% 1.40/1.60 assert (zenon_L1010_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hc2 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H21d zenon_H1be zenon_Hb2 zenon_Hb4 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H5 zenon_H1c4 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H10b zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_L1008_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.60 apply (zenon_L1009_); trivial.
% 1.40/1.60 apply (zenon_L938_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1010_ *)
% 1.40/1.60 assert (zenon_L1011_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_Hc2 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H21d zenon_H1be zenon_Hb2 zenon_Hb4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1c4 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_H7e zenon_H10b zenon_H8c zenon_H185 zenon_H161 zenon_H1d6 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L995_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L907_); trivial.
% 1.40/1.60 apply (zenon_L1010_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1011_ *)
% 1.40/1.60 assert (zenon_L1012_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H1c6 zenon_H1c8 zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H40 zenon_Hac.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L565_); trivial.
% 1.40/1.60 apply (zenon_L807_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1012_ *)
% 1.40/1.60 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H1c6 zenon_H1c8 zenon_H8c zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L995_); trivial.
% 1.40/1.60 apply (zenon_L1012_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1013_ *)
% 1.40/1.60 assert (zenon_L1014_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H103 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H7e zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.60 apply (zenon_L923_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.60 apply (zenon_L222_); trivial.
% 1.40/1.60 apply (zenon_L657_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1014_ *)
% 1.40/1.60 assert (zenon_L1015_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H110 zenon_H111 zenon_H112 zenon_H103 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.60 apply (zenon_L161_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.60 apply (zenon_L763_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.60 apply (zenon_L934_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.60 apply (zenon_L222_); trivial.
% 1.40/1.60 apply (zenon_L657_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1015_ *)
% 1.40/1.60 assert (zenon_L1016_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H121 zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H5 zenon_H1c4.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.60 apply (zenon_L1014_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.60 apply (zenon_L371_); trivial.
% 1.40/1.60 exact (zenon_H5 zenon_H6).
% 1.40/1.60 apply (zenon_L1015_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1016_ *)
% 1.40/1.60 assert (zenon_L1017_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H124 zenon_H11e zenon_Hc2 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1c4 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L155_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_L845_); trivial.
% 1.40/1.60 apply (zenon_L1016_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1017_ *)
% 1.40/1.60 assert (zenon_L1018_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_Hac zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.60 apply (zenon_L561_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.60 apply (zenon_L563_); trivial.
% 1.40/1.60 apply (zenon_L866_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1018_ *)
% 1.40/1.60 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L951_); trivial.
% 1.40/1.60 apply (zenon_L559_); trivial.
% 1.40/1.60 apply (zenon_L846_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1019_ *)
% 1.40/1.60 assert (zenon_L1020_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H124 zenon_H11e zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H54 zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40 zenon_Hac.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L1018_); trivial.
% 1.40/1.60 apply (zenon_L1019_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1020_ *)
% 1.40/1.60 assert (zenon_L1021_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.60 apply (zenon_L493_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.60 apply (zenon_L494_); trivial.
% 1.40/1.60 apply (zenon_L955_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1021_ *)
% 1.40/1.60 assert (zenon_L1022_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.60 apply (zenon_L601_); trivial.
% 1.40/1.60 apply (zenon_L968_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1022_ *)
% 1.40/1.60 assert (zenon_L1023_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L602_); trivial.
% 1.40/1.60 apply (zenon_L1022_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1023_ *)
% 1.40/1.60 assert (zenon_L1024_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H71 zenon_H103 zenon_Hc2 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H124.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.60 apply (zenon_L973_); trivial.
% 1.40/1.60 apply (zenon_L1023_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1024_ *)
% 1.40/1.60 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H18c zenon_H18b zenon_H7e zenon_H55 zenon_H88 zenon_H1c4 zenon_Hac zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_Hc2 zenon_H103 zenon_H71 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H138.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.60 apply (zenon_L1024_); trivial.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.60 apply (zenon_L440_); trivial.
% 1.40/1.60 apply (zenon_L826_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1025_ *)
% 1.40/1.60 assert (zenon_L1026_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H4f zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.40/1.60 apply (zenon_L396_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.40/1.60 apply (zenon_L101_); trivial.
% 1.40/1.60 exact (zenon_H125 zenon_H126).
% 1.40/1.60 (* end of lemma zenon_L1026_ *)
% 1.40/1.60 assert (zenon_L1027_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H10b zenon_H109 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.60 apply (zenon_L851_); trivial.
% 1.40/1.60 apply (zenon_L1026_); trivial.
% 1.40/1.60 (* end of lemma zenon_L1027_ *)
% 1.40/1.60 assert (zenon_L1028_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H199 zenon_H245 zenon_H12 zenon_H55.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.60 apply (zenon_L98_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.60 generalize (zenon_H73 (a800)). zenon_intro zenon_H286.
% 1.40/1.60 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ].
% 1.40/1.60 exact (zenon_H11 zenon_H12).
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H24c | zenon_intro zenon_H288 ].
% 1.40/1.60 exact (zenon_H245 zenon_H24c).
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ].
% 1.40/1.60 generalize (zenon_H199 (a800)). zenon_intro zenon_H2b1.
% 1.40/1.60 apply (zenon_imply_s _ _ zenon_H2b1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b2 ].
% 1.40/1.60 exact (zenon_H11 zenon_H12).
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H24c | zenon_intro zenon_H284 ].
% 1.40/1.60 exact (zenon_H245 zenon_H24c).
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H285 | zenon_intro zenon_H24b ].
% 1.40/1.60 exact (zenon_H281 zenon_H285).
% 1.40/1.60 exact (zenon_H24b zenon_H246).
% 1.40/1.60 exact (zenon_H24b zenon_H246).
% 1.40/1.60 exact (zenon_H55 zenon_H56).
% 1.40/1.60 (* end of lemma zenon_L1028_ *)
% 1.40/1.60 assert (zenon_L1029_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False).
% 1.40/1.60 do 0 intro. intros zenon_H21d zenon_Hb2 zenon_Hb0 zenon_H244 zenon_Hb4 zenon_H55 zenon_H12 zenon_H245 zenon_H199 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.60 apply (zenon_L856_); trivial.
% 1.40/1.60 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.60 apply (zenon_L1028_); trivial.
% 1.40/1.60 exact (zenon_H1be zenon_H1bf).
% 1.40/1.60 (* end of lemma zenon_L1029_ *)
% 1.40/1.60 assert (zenon_L1030_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H12 zenon_H55.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.61 apply (zenon_L98_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.61 apply (zenon_L632_); trivial.
% 1.40/1.61 exact (zenon_H55 zenon_H56).
% 1.40/1.61 (* end of lemma zenon_L1030_ *)
% 1.40/1.61 assert (zenon_L1031_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Haa zenon_H245 zenon_H244 zenon_H246 zenon_H119 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H7e zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.61 apply (zenon_L1030_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.61 apply (zenon_L66_); trivial.
% 1.40/1.61 apply (zenon_L764_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1031_ *)
% 1.40/1.61 assert (zenon_L1032_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H55 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_H119 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.61 apply (zenon_L633_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.61 apply (zenon_L1031_); trivial.
% 1.40/1.61 exact (zenon_H1be zenon_H1bf).
% 1.40/1.61 (* end of lemma zenon_L1032_ *)
% 1.40/1.61 assert (zenon_L1033_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H1dc zenon_H4b zenon_H4d.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ].
% 1.40/1.61 apply (zenon_L933_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ].
% 1.40/1.61 exact (zenon_H4b zenon_H4c).
% 1.40/1.61 exact (zenon_H4d zenon_H4e).
% 1.40/1.61 (* end of lemma zenon_L1033_ *)
% 1.40/1.61 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H50 zenon_H4b zenon_H4d.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.61 apply (zenon_L763_); trivial.
% 1.40/1.61 apply (zenon_L1033_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1034_ *)
% 1.40/1.61 assert (zenon_L1035_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.61 apply (zenon_L58_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.61 apply (zenon_L163_); trivial.
% 1.40/1.61 apply (zenon_L1032_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1035_ *)
% 1.40/1.61 assert (zenon_L1036_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H121 zenon_H80 zenon_H71 zenon_H1a2 zenon_Hd2 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H7e zenon_H55 zenon_H245 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.61 apply (zenon_L1029_); trivial.
% 1.40/1.61 apply (zenon_L1032_); trivial.
% 1.40/1.61 apply (zenon_L1034_); trivial.
% 1.40/1.61 apply (zenon_L1035_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1036_ *)
% 1.40/1.61 assert (zenon_L1037_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H80 zenon_H71 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_Hb2 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.61 apply (zenon_L1027_); trivial.
% 1.40/1.61 apply (zenon_L1036_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1037_ *)
% 1.40/1.61 assert (zenon_L1038_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H71 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L770_); trivial.
% 1.40/1.61 apply (zenon_L1037_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1038_ *)
% 1.40/1.61 assert (zenon_L1039_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.61 apply (zenon_L136_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.61 apply (zenon_L632_); trivial.
% 1.40/1.61 apply (zenon_L933_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1039_ *)
% 1.40/1.61 assert (zenon_L1040_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H103 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H1dc zenon_H245 zenon_H244 zenon_H246 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.40/1.61 apply (zenon_L1039_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.40/1.61 apply (zenon_L222_); trivial.
% 1.40/1.61 apply (zenon_L657_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1040_ *)
% 1.40/1.61 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H103 zenon_H245 zenon_H244 zenon_H246 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.61 apply (zenon_L66_); trivial.
% 1.40/1.61 apply (zenon_L1040_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1041_ *)
% 1.40/1.61 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a800))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H245 zenon_H15a zenon_H159 zenon_H158 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H28c zenon_H28d zenon_H28e zenon_H103.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.61 apply (zenon_L857_); trivial.
% 1.40/1.61 apply (zenon_L1041_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1042_ *)
% 1.40/1.61 assert (zenon_L1043_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H133 zenon_H125 zenon_H127 zenon_H2e zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H124 zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.61 apply (zenon_L493_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L639_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L770_); trivial.
% 1.40/1.61 apply (zenon_L1042_); trivial.
% 1.40/1.61 apply (zenon_L642_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1043_ *)
% 1.40/1.61 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H55 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.61 apply (zenon_L169_); trivial.
% 1.40/1.61 apply (zenon_L1032_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1044_ *)
% 1.40/1.61 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.61 apply (zenon_L1027_); trivial.
% 1.40/1.61 apply (zenon_L1044_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1045_ *)
% 1.40/1.61 assert (zenon_L1046_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L639_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L770_); trivial.
% 1.40/1.61 apply (zenon_L1045_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1046_ *)
% 1.40/1.61 assert (zenon_L1047_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H1ca zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H21d zenon_H1be zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H124 zenon_H138.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_L1046_); trivial.
% 1.40/1.61 apply (zenon_L642_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1047_ *)
% 1.40/1.61 assert (zenon_L1048_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.61 apply (zenon_L1027_); trivial.
% 1.40/1.61 apply (zenon_L846_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1048_ *)
% 1.40/1.61 assert (zenon_L1049_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L155_); trivial.
% 1.40/1.61 apply (zenon_L1048_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1049_ *)
% 1.40/1.61 assert (zenon_L1050_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H255 zenon_H231 zenon_H1c0 zenon_H3c zenon_H2a0 zenon_H1ac zenon_H1ca zenon_Hf zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H2e zenon_H11e zenon_H1f2 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_Hd4 zenon_H7e zenon_H10b zenon_Hc2 zenon_H1e2 zenon_H50 zenon_H21d zenon_H119 zenon_Hb4 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H71 zenon_H80 zenon_H124 zenon_H138 zenon_H155 zenon_H165 zenon_H103 zenon_H1d9 zenon_H20b zenon_H59 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H108 zenon_H163 zenon_H8c zenon_H86 zenon_H185 zenon_H2a zenon_Hef zenon_H18a zenon_H2a5.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.40/1.61 apply (zenon_L644_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L639_); trivial.
% 1.40/1.61 apply (zenon_L1038_); trivial.
% 1.40/1.61 apply (zenon_L642_); trivial.
% 1.40/1.61 apply (zenon_L1043_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.61 apply (zenon_L1047_); trivial.
% 1.40/1.61 apply (zenon_L1043_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.40/1.61 apply (zenon_L644_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L639_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L502_); trivial.
% 1.40/1.61 apply (zenon_L1048_); trivial.
% 1.40/1.61 apply (zenon_L642_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_L1049_); trivial.
% 1.40/1.61 apply (zenon_L642_); trivial.
% 1.40/1.61 apply (zenon_L960_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1050_ *)
% 1.40/1.61 assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.61 apply (zenon_L803_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.61 apply (zenon_L580_); trivial.
% 1.40/1.61 apply (zenon_L649_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1051_ *)
% 1.40/1.61 assert (zenon_L1052_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H1be.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.61 apply (zenon_L856_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.61 apply (zenon_L371_); trivial.
% 1.40/1.61 exact (zenon_H1be zenon_H1bf).
% 1.40/1.61 (* end of lemma zenon_L1052_ *)
% 1.40/1.61 assert (zenon_L1053_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H244 zenon_H246 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.61 apply (zenon_L858_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.61 apply (zenon_L386_); trivial.
% 1.40/1.61 exact (zenon_H1be zenon_H1bf).
% 1.40/1.61 (* end of lemma zenon_L1053_ *)
% 1.40/1.61 assert (zenon_L1054_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Hac zenon_Hc2 zenon_Haa zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hd zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.61 apply (zenon_L904_); trivial.
% 1.40/1.61 apply (zenon_L789_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.61 apply (zenon_L531_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.61 apply (zenon_L1052_); trivial.
% 1.40/1.61 apply (zenon_L1053_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1054_ *)
% 1.40/1.61 assert (zenon_L1055_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_Hea zenon_He8 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L1054_); trivial.
% 1.40/1.61 apply (zenon_L808_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1055_ *)
% 1.40/1.61 assert (zenon_L1056_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H138 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L522_); trivial.
% 1.40/1.61 apply (zenon_L810_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1056_ *)
% 1.40/1.61 assert (zenon_L1057_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L1054_); trivial.
% 1.40/1.61 apply (zenon_L810_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1057_ *)
% 1.40/1.61 assert (zenon_L1058_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H244 zenon_H246 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H138.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_L1056_); trivial.
% 1.40/1.61 apply (zenon_L1057_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1058_ *)
% 1.40/1.61 assert (zenon_L1059_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L155_); trivial.
% 1.40/1.61 apply (zenon_L1051_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1059_ *)
% 1.40/1.61 assert (zenon_L1060_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_L216_); trivial.
% 1.40/1.61 apply (zenon_L1057_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1060_ *)
% 1.40/1.61 assert (zenon_L1061_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H1f4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.40/1.61 apply (zenon_L64_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.40/1.61 apply (zenon_L549_); trivial.
% 1.40/1.61 apply (zenon_L72_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1061_ *)
% 1.40/1.61 assert (zenon_L1062_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_He8 zenon_H12 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H55.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.61 apply (zenon_L1061_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.61 apply (zenon_L558_); trivial.
% 1.40/1.61 exact (zenon_H55 zenon_H56).
% 1.40/1.61 (* end of lemma zenon_L1062_ *)
% 1.40/1.61 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H4f zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.61 apply (zenon_L1062_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.61 apply (zenon_L101_); trivial.
% 1.40/1.61 exact (zenon_He8 zenon_He9).
% 1.40/1.61 (* end of lemma zenon_L1063_ *)
% 1.40/1.61 assert (zenon_L1064_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.61 apply (zenon_L600_); trivial.
% 1.40/1.61 apply (zenon_L1063_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1064_ *)
% 1.40/1.61 assert (zenon_L1065_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H246 zenon_H244 zenon_H245 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L770_); trivial.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.61 apply (zenon_L1064_); trivial.
% 1.40/1.61 apply (zenon_L1036_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1065_ *)
% 1.40/1.61 assert (zenon_L1066_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H80 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_Hb4 zenon_H10b zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H185 zenon_H86 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124 zenon_H1ca.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L1059_); trivial.
% 1.40/1.61 apply (zenon_L1065_); trivial.
% 1.40/1.61 apply (zenon_L1055_); trivial.
% 1.40/1.61 apply (zenon_L1060_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1066_ *)
% 1.40/1.61 assert (zenon_L1067_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H246 zenon_H244 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_Haa zenon_H1be.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.40/1.61 apply (zenon_L858_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.40/1.61 apply (zenon_L858_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.40/1.61 apply (zenon_L1061_); trivial.
% 1.40/1.61 apply (zenon_L764_); trivial.
% 1.40/1.61 exact (zenon_H1be zenon_H1bf).
% 1.40/1.61 (* end of lemma zenon_L1067_ *)
% 1.40/1.61 assert (zenon_L1068_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H246 zenon_H244 zenon_Haa zenon_H1be.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.40/1.61 apply (zenon_L161_); trivial.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.40/1.61 apply (zenon_L169_); trivial.
% 1.40/1.61 apply (zenon_L1067_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1068_ *)
% 1.40/1.61 assert (zenon_L1069_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.61 apply (zenon_L1052_); trivial.
% 1.40/1.61 apply (zenon_L1068_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1069_ *)
% 1.40/1.61 assert (zenon_L1070_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.61 apply (zenon_L770_); trivial.
% 1.40/1.61 apply (zenon_L1069_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1070_ *)
% 1.40/1.61 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.61 apply (zenon_L1054_); trivial.
% 1.40/1.61 apply (zenon_L1070_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1071_ *)
% 1.40/1.61 assert (zenon_L1072_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.61 do 0 intro. intros zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H109 zenon_H10b zenon_H54 zenon_Hef.
% 1.40/1.61 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.61 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.61 apply (zenon_L452_); trivial.
% 1.40/1.61 apply (zenon_L273_); trivial.
% 1.40/1.61 apply (zenon_L120_); trivial.
% 1.40/1.61 (* end of lemma zenon_L1072_ *)
% 1.40/1.61 assert (zenon_L1073_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.62 apply (zenon_L1072_); trivial.
% 1.40/1.62 apply (zenon_L255_); trivial.
% 1.40/1.62 apply (zenon_L1069_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1073_ *)
% 1.40/1.62 assert (zenon_L1074_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H103 zenon_H88 zenon_H133 zenon_Hac zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H10b zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H244 zenon_H246 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1a2 zenon_Hc2 zenon_H138.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L522_); trivial.
% 1.40/1.62 apply (zenon_L1073_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L1054_); trivial.
% 1.40/1.62 apply (zenon_L1073_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1074_ *)
% 1.40/1.62 assert (zenon_L1075_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.62 apply (zenon_L218_); trivial.
% 1.40/1.62 apply (zenon_L1044_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1075_ *)
% 1.40/1.62 assert (zenon_L1076_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1c6 zenon_H1c8 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L1059_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L155_); trivial.
% 1.40/1.62 apply (zenon_L1075_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1076_ *)
% 1.40/1.62 assert (zenon_L1077_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H1ca zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_Hc2 zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H1c8 zenon_H1c6 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H119 zenon_H1a2 zenon_H11e zenon_H138.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.62 apply (zenon_L1076_); trivial.
% 1.40/1.62 apply (zenon_L1055_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1077_ *)
% 1.40/1.62 assert (zenon_L1078_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L155_); trivial.
% 1.40/1.62 apply (zenon_L1069_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1078_ *)
% 1.40/1.62 assert (zenon_L1079_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L1054_); trivial.
% 1.40/1.62 apply (zenon_L1078_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1079_ *)
% 1.40/1.62 assert (zenon_L1080_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.62 apply (zenon_L216_); trivial.
% 1.40/1.62 apply (zenon_L1079_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1080_ *)
% 1.40/1.62 assert (zenon_L1081_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_L27_); trivial.
% 1.40/1.62 apply (zenon_L861_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1081_ *)
% 1.40/1.62 assert (zenon_L1082_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H138 zenon_Hac zenon_H88 zenon_H86 zenon_Hea zenon_He8 zenon_H103 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L1081_); trivial.
% 1.40/1.62 apply (zenon_L391_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1082_ *)
% 1.40/1.62 assert (zenon_L1083_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.40/1.62 apply (zenon_L216_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L155_); trivial.
% 1.40/1.62 apply (zenon_L532_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1083_ *)
% 1.40/1.62 assert (zenon_L1084_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.40/1.62 apply (zenon_L1082_); trivial.
% 1.40/1.62 apply (zenon_L1083_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1084_ *)
% 1.40/1.62 assert (zenon_L1085_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.62 apply (zenon_L493_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.40/1.62 apply (zenon_L494_); trivial.
% 1.40/1.62 apply (zenon_L1084_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1085_ *)
% 1.40/1.62 assert (zenon_L1086_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H20b zenon_H1d9 zenon_H18a zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H138 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H21d zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.40/1.62 apply (zenon_L844_); trivial.
% 1.40/1.62 apply (zenon_L1085_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1086_ *)
% 1.40/1.62 assert (zenon_L1087_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L161_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L545_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1087_ *)
% 1.40/1.62 assert (zenon_L1088_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L155_); trivial.
% 1.40/1.62 apply (zenon_L1087_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1088_ *)
% 1.40/1.62 assert (zenon_L1089_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H2b3 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6.
% 1.40/1.62 generalize (zenon_H2b3 (a795)). zenon_intro zenon_H2b7.
% 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b8 ].
% 1.40/1.62 exact (zenon_H11 zenon_H12).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ].
% 1.40/1.62 exact (zenon_H2b4 zenon_H2ba).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bb ].
% 1.40/1.62 exact (zenon_H2b5 zenon_H2bc).
% 1.40/1.62 exact (zenon_H2b6 zenon_H2bb).
% 1.40/1.62 (* end of lemma zenon_L1089_ *)
% 1.40/1.62 assert (zenon_L1090_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp3)\/(hskp4))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H2bd zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_He4 zenon_H1.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2be ].
% 1.40/1.62 apply (zenon_L1089_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_He5 | zenon_intro zenon_H2 ].
% 1.40/1.62 exact (zenon_He4 zenon_He5).
% 1.40/1.62 exact (zenon_H1 zenon_H2).
% 1.40/1.62 (* end of lemma zenon_L1090_ *)
% 1.40/1.62 assert (zenon_L1091_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp28)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H39 zenon_Hb.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c0 ].
% 1.40/1.62 apply (zenon_L1089_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hc ].
% 1.40/1.62 exact (zenon_H39 zenon_H3a).
% 1.40/1.62 exact (zenon_Hb zenon_Hc).
% 1.40/1.62 (* end of lemma zenon_L1091_ *)
% 1.40/1.62 assert (zenon_L1092_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_Hbf zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.40/1.62 apply (zenon_L1089_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.40/1.62 apply (zenon_L125_); trivial.
% 1.40/1.62 apply (zenon_L87_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1092_ *)
% 1.40/1.62 assert (zenon_L1093_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.62 apply (zenon_L58_); trivial.
% 1.40/1.62 apply (zenon_L1092_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1093_ *)
% 1.40/1.62 assert (zenon_L1094_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L1091_); trivial.
% 1.40/1.62 apply (zenon_L1093_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1094_ *)
% 1.40/1.62 assert (zenon_L1095_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.40/1.62 apply (zenon_L98_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.40/1.62 apply (zenon_L67_); trivial.
% 1.40/1.62 exact (zenon_H55 zenon_H56).
% 1.40/1.62 (* end of lemma zenon_L1095_ *)
% 1.40/1.62 assert (zenon_L1096_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2c1 zenon_Hfd zenon_H7e zenon_H55 zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.62 apply (zenon_L58_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.40/1.62 apply (zenon_L1089_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.62 apply (zenon_L84_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.62 apply (zenon_L1095_); trivial.
% 1.40/1.62 exact (zenon_H5 zenon_H6).
% 1.40/1.62 apply (zenon_L87_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1096_ *)
% 1.40/1.62 assert (zenon_L1097_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_L1094_); trivial.
% 1.40/1.62 apply (zenon_L1096_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1097_ *)
% 1.40/1.62 assert (zenon_L1098_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_H71 zenon_H2c1 zenon_Hc2 zenon_H40 zenon_He4 zenon_H142 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L770_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.40/1.62 apply (zenon_L218_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.62 apply (zenon_L122_); trivial.
% 1.40/1.62 apply (zenon_L1097_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1098_ *)
% 1.40/1.62 assert (zenon_L1099_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L428_); trivial.
% 1.40/1.62 apply (zenon_L1098_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1099_ *)
% 1.40/1.62 assert (zenon_L1100_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L1091_); trivial.
% 1.40/1.62 apply (zenon_L17_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1100_ *)
% 1.40/1.62 assert (zenon_L1101_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_Hbf zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H42 zenon_H43 zenon_H44.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.40/1.62 apply (zenon_L136_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.40/1.62 apply (zenon_L67_); trivial.
% 1.40/1.62 apply (zenon_L19_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1101_ *)
% 1.40/1.62 assert (zenon_L1102_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.40/1.62 apply (zenon_L58_); trivial.
% 1.40/1.62 apply (zenon_L1101_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1102_ *)
% 1.40/1.62 assert (zenon_L1103_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hb4 zenon_H71 zenon_H165 zenon_Hc2 zenon_H54 zenon_H80.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.62 apply (zenon_L122_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_L1100_); trivial.
% 1.40/1.62 apply (zenon_L1102_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.62 apply (zenon_L122_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_L1094_); trivial.
% 1.40/1.62 apply (zenon_L1102_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1103_ *)
% 1.40/1.62 assert (zenon_L1104_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H11e zenon_H1f2 zenon_H1c6 zenon_H1c8 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c4 zenon_H5 zenon_H119 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.40/1.62 apply (zenon_L1099_); trivial.
% 1.40/1.62 apply (zenon_L1103_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1104_ *)
% 1.40/1.62 assert (zenon_L1105_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a795))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H18f zenon_H12 zenon_H2b4 zenon_Hd8 zenon_H2b6.
% 1.40/1.62 generalize (zenon_H18f (a795)). zenon_intro zenon_H2c3.
% 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c4 ].
% 1.40/1.62 exact (zenon_H11 zenon_H12).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2c5 ].
% 1.40/1.62 exact (zenon_H2b4 zenon_H2ba).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2bb ].
% 1.40/1.62 generalize (zenon_Hd8 (a795)). zenon_intro zenon_H2c7.
% 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c8 ].
% 1.40/1.62 exact (zenon_H11 zenon_H12).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2c9 ].
% 1.40/1.62 exact (zenon_H2b4 zenon_H2ba).
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2ca ].
% 1.40/1.62 exact (zenon_H2b6 zenon_H2bb).
% 1.40/1.62 exact (zenon_H2ca zenon_H2c6).
% 1.40/1.62 exact (zenon_H2b6 zenon_H2bb).
% 1.40/1.62 (* end of lemma zenon_L1105_ *)
% 1.40/1.62 assert (zenon_L1106_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H18f zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.40/1.62 apply (zenon_L1105_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.40/1.62 apply (zenon_L15_); trivial.
% 1.40/1.62 exact (zenon_He8 zenon_He9).
% 1.40/1.62 (* end of lemma zenon_L1106_ *)
% 1.40/1.62 assert (zenon_L1107_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L1106_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L181_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1107_ *)
% 1.40/1.62 assert (zenon_L1108_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L26_); trivial.
% 1.40/1.62 apply (zenon_L1107_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1108_ *)
% 1.40/1.62 assert (zenon_L1109_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L1106_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L116_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1109_ *)
% 1.40/1.62 assert (zenon_L1110_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H2a zenon_H27 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L1091_); trivial.
% 1.40/1.62 apply (zenon_L1109_); trivial.
% 1.40/1.62 apply (zenon_L77_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1110_ *)
% 1.40/1.62 assert (zenon_L1111_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H90 zenon_H8f zenon_H8e zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L1106_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L48_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1111_ *)
% 1.40/1.62 assert (zenon_L1112_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H101 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L26_); trivial.
% 1.40/1.62 apply (zenon_L1111_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1112_ *)
% 1.40/1.62 assert (zenon_L1113_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H2a zenon_H2b5 zenon_H2bf zenon_H8c zenon_H8a zenon_H2e zenon_H54 zenon_Hef.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.62 apply (zenon_L1108_); trivial.
% 1.40/1.62 apply (zenon_L1110_); trivial.
% 1.40/1.62 apply (zenon_L1112_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1113_ *)
% 1.40/1.62 assert (zenon_L1114_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H50 zenon_H4d zenon_H4b zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L1091_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.40/1.62 apply (zenon_L1089_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.40/1.62 apply (zenon_L478_); trivial.
% 1.40/1.62 apply (zenon_L87_); trivial.
% 1.40/1.62 apply (zenon_L22_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1114_ *)
% 1.40/1.62 assert (zenon_L1115_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L1105_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L486_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1115_ *)
% 1.40/1.62 assert (zenon_L1116_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H5c zenon_H5e zenon_H5d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.40/1.62 apply (zenon_L421_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.40/1.62 apply (zenon_L1115_); trivial.
% 1.40/1.62 exact (zenon_H5 zenon_H6).
% 1.40/1.62 (* end of lemma zenon_L1116_ *)
% 1.40/1.62 assert (zenon_L1117_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H81 zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L26_); trivial.
% 1.40/1.62 apply (zenon_L1116_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1117_ *)
% 1.40/1.62 assert (zenon_L1118_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.40/1.62 apply (zenon_L1114_); trivial.
% 1.40/1.62 apply (zenon_L1117_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1118_ *)
% 1.40/1.62 assert (zenon_L1119_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H2c1 zenon_Hef zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L469_); trivial.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L1113_); trivial.
% 1.40/1.62 apply (zenon_L1118_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1119_ *)
% 1.40/1.62 assert (zenon_L1120_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp24)) -> (ndr1_0) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H16f zenon_H2b6 zenon_H2b4 zenon_H18f zenon_H3 zenon_H12 zenon_H30 zenon_H32 zenon_H163 zenon_H161.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.40/1.62 apply (zenon_L1105_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.40/1.62 apply (zenon_L181_); trivial.
% 1.40/1.62 exact (zenon_H161 zenon_H162).
% 1.40/1.62 (* end of lemma zenon_L1120_ *)
% 1.40/1.62 assert (zenon_L1121_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H2b4 zenon_H2b6 zenon_H16f zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.40/1.62 apply (zenon_L1120_); trivial.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.40/1.62 apply (zenon_L181_); trivial.
% 1.40/1.62 apply (zenon_L229_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1121_ *)
% 1.40/1.62 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H3 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L520_); trivial.
% 1.40/1.62 apply (zenon_L1121_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1122_ *)
% 1.40/1.62 assert (zenon_L1123_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H16f zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_Hef.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.40/1.62 apply (zenon_L1091_); trivial.
% 1.40/1.62 apply (zenon_L1121_); trivial.
% 1.40/1.62 apply (zenon_L1122_); trivial.
% 1.40/1.62 apply (zenon_L119_); trivial.
% 1.40/1.62 apply (zenon_L120_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1123_ *)
% 1.40/1.62 assert (zenon_L1124_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.40/1.62 apply (zenon_L155_); trivial.
% 1.40/1.62 apply (zenon_L1118_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1124_ *)
% 1.40/1.62 assert (zenon_L1125_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H138 zenon_H124 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H86 zenon_H185 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.40/1.62 apply (zenon_L469_); trivial.
% 1.40/1.62 apply (zenon_L1124_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1125_ *)
% 1.40/1.62 assert (zenon_L1126_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_H54 zenon_Hef.
% 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.40/1.62 apply (zenon_L1108_); trivial.
% 1.40/1.62 apply (zenon_L140_); trivial.
% 1.40/1.62 apply (zenon_L1112_); trivial.
% 1.40/1.62 (* end of lemma zenon_L1126_ *)
% 1.40/1.62 assert (zenon_L1127_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_He4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.63 apply (zenon_L1106_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.63 apply (zenon_L146_); trivial.
% 1.50/1.63 apply (zenon_L229_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1127_ *)
% 1.50/1.63 assert (zenon_L1128_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L26_); trivial.
% 1.50/1.63 apply (zenon_L1127_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1128_ *)
% 1.50/1.63 assert (zenon_L1129_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1126_); trivial.
% 1.50/1.63 apply (zenon_L1128_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1129_ *)
% 1.50/1.63 assert (zenon_L1130_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1cd zenon_H1cc zenon_H1cb.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.50/1.63 apply (zenon_L1089_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.50/1.63 apply (zenon_L222_); trivial.
% 1.50/1.63 apply (zenon_L87_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1130_ *)
% 1.50/1.63 assert (zenon_L1131_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H2c1 zenon_H40.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L1091_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.50/1.63 apply (zenon_L1089_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.50/1.63 apply (zenon_L443_); trivial.
% 1.50/1.63 apply (zenon_L87_); trivial.
% 1.50/1.63 apply (zenon_L445_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1131_ *)
% 1.50/1.63 assert (zenon_L1132_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1100_); trivial.
% 1.50/1.63 apply (zenon_L445_); trivial.
% 1.50/1.63 apply (zenon_L1131_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1132_ *)
% 1.50/1.63 assert (zenon_L1133_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H2c1 zenon_H3c zenon_H2b5 zenon_H2bf zenon_H165 zenon_H54 zenon_H185 zenon_H86 zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H124.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L155_); trivial.
% 1.50/1.63 apply (zenon_L1128_); trivial.
% 1.50/1.63 apply (zenon_L1132_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1133_ *)
% 1.50/1.63 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124 zenon_H165 zenon_H2bf zenon_H18b zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.63 apply (zenon_L493_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_L1129_); trivial.
% 1.50/1.63 apply (zenon_L1130_); trivial.
% 1.50/1.63 apply (zenon_L1132_); trivial.
% 1.50/1.63 apply (zenon_L1133_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1134_ *)
% 1.50/1.63 assert (zenon_L1135_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.63 apply (zenon_L1106_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.63 apply (zenon_L190_); trivial.
% 1.50/1.63 apply (zenon_L229_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1135_ *)
% 1.50/1.63 assert (zenon_L1136_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H148 zenon_H147 zenon_Hea zenon_He8 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.63 apply (zenon_L1135_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.63 apply (zenon_L1115_); trivial.
% 1.50/1.63 exact (zenon_H5 zenon_H6).
% 1.50/1.63 (* end of lemma zenon_L1136_ *)
% 1.50/1.63 assert (zenon_L1137_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L26_); trivial.
% 1.50/1.63 apply (zenon_L1136_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1137_ *)
% 1.50/1.63 assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H148 zenon_H147 zenon_H7e zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.63 apply (zenon_L219_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.63 apply (zenon_L1115_); trivial.
% 1.50/1.63 exact (zenon_H5 zenon_H6).
% 1.50/1.63 (* end of lemma zenon_L1138_ *)
% 1.50/1.63 assert (zenon_L1139_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H25a zenon_H258 zenon_H264 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L26_); trivial.
% 1.50/1.63 apply (zenon_L1138_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1139_ *)
% 1.50/1.63 assert (zenon_L1140_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H40 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L155_); trivial.
% 1.50/1.63 apply (zenon_L1137_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1140_ *)
% 1.50/1.63 assert (zenon_L1141_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H86 zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H165 zenon_H3c zenon_H2c1 zenon_H138 zenon_H18b.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1113_); trivial.
% 1.50/1.63 apply (zenon_L1128_); trivial.
% 1.50/1.63 apply (zenon_L1132_); trivial.
% 1.50/1.63 apply (zenon_L1133_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1141_ *)
% 1.50/1.63 assert (zenon_L1142_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_Hf zenon_H18a zenon_H185 zenon_H86 zenon_H124 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_H155 zenon_H1c0 zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H1bc zenon_H16f zenon_H7e zenon_H18b zenon_H138 zenon_H2c1 zenon_H3c zenon_H165 zenon_H16e zenon_He4 zenon_H1d9.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1113_); trivial.
% 1.50/1.63 apply (zenon_L1137_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1123_); trivial.
% 1.50/1.63 apply (zenon_L1139_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_L1140_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L155_); trivial.
% 1.50/1.63 apply (zenon_L1139_); trivial.
% 1.50/1.63 apply (zenon_L1141_); trivial.
% 1.50/1.63 apply (zenon_L1134_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1142_ *)
% 1.50/1.63 assert (zenon_L1143_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L1091_); trivial.
% 1.50/1.63 apply (zenon_L230_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1143_ *)
% 1.50/1.63 assert (zenon_L1144_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H54 zenon_He8 zenon_Hea zenon_H8c zenon_H8a zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1143_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L180_); trivial.
% 1.50/1.63 apply (zenon_L1107_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1144_ *)
% 1.50/1.63 assert (zenon_L1145_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_Hef zenon_H2a zenon_H27 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8a zenon_H8c zenon_Hea zenon_He8 zenon_H54.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.63 apply (zenon_L1144_); trivial.
% 1.50/1.63 apply (zenon_L1110_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1145_ *)
% 1.50/1.63 assert (zenon_L1146_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_He8 zenon_H54 zenon_H108.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.63 apply (zenon_L1145_); trivial.
% 1.50/1.63 apply (zenon_L232_); trivial.
% 1.50/1.63 apply (zenon_L235_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1146_ *)
% 1.50/1.63 assert (zenon_L1147_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1143_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L520_); trivial.
% 1.50/1.63 apply (zenon_L230_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1147_ *)
% 1.50/1.63 assert (zenon_L1148_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H32 zenon_H30 zenon_H31 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.63 apply (zenon_L1105_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.63 apply (zenon_L32_); trivial.
% 1.50/1.63 apply (zenon_L229_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1148_ *)
% 1.50/1.63 assert (zenon_L1149_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H16f zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H161.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ].
% 1.50/1.63 apply (zenon_L1148_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ].
% 1.50/1.63 apply (zenon_L32_); trivial.
% 1.50/1.63 exact (zenon_H161 zenon_H162).
% 1.50/1.63 (* end of lemma zenon_L1149_ *)
% 1.50/1.63 assert (zenon_L1150_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H16f zenon_H161 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L1091_); trivial.
% 1.50/1.63 apply (zenon_L1149_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1150_ *)
% 1.50/1.63 assert (zenon_L1151_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1150_); trivial.
% 1.50/1.63 apply (zenon_L77_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1151_ *)
% 1.50/1.63 assert (zenon_L1152_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_Hec zenon_H80 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.63 apply (zenon_L1114_); trivial.
% 1.50/1.63 apply (zenon_L1151_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1152_ *)
% 1.50/1.63 assert (zenon_L1153_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H16f zenon_H71 zenon_H2a zenon_H80 zenon_Hef.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.63 apply (zenon_L1147_); trivial.
% 1.50/1.63 apply (zenon_L1152_); trivial.
% 1.50/1.63 apply (zenon_L120_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1153_ *)
% 1.50/1.63 assert (zenon_L1154_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H80 zenon_H2a zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H55 zenon_H7e zenon_H108.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1153_); trivial.
% 1.50/1.63 apply (zenon_L235_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1154_ *)
% 1.50/1.63 assert (zenon_L1155_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H55 zenon_H50 zenon_H4d zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_L1146_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_L236_); trivial.
% 1.50/1.63 apply (zenon_L1154_); trivial.
% 1.50/1.63 apply (zenon_L241_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1155_ *)
% 1.50/1.63 assert (zenon_L1156_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1100_); trivial.
% 1.50/1.63 apply (zenon_L22_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1156_ *)
% 1.50/1.63 assert (zenon_L1157_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H81 zenon_H54 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1100_); trivial.
% 1.50/1.63 apply (zenon_L456_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1157_ *)
% 1.50/1.63 assert (zenon_L1158_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H80 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.63 apply (zenon_L1156_); trivial.
% 1.50/1.63 apply (zenon_L1157_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1158_ *)
% 1.50/1.63 assert (zenon_L1159_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L200_); trivial.
% 1.50/1.63 apply (zenon_L230_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1159_ *)
% 1.50/1.63 assert (zenon_L1160_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1143_); trivial.
% 1.50/1.63 apply (zenon_L1159_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1160_ *)
% 1.50/1.63 assert (zenon_L1161_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H108 zenon_H54 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H50 zenon_H4d zenon_Hfd zenon_H2c1 zenon_H16f zenon_H71 zenon_H2a zenon_H80 zenon_Hef.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.63 apply (zenon_L1160_); trivial.
% 1.50/1.63 apply (zenon_L1152_); trivial.
% 1.50/1.63 apply (zenon_L232_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1161_ *)
% 1.50/1.63 assert (zenon_L1162_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H16f zenon_H2c1 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2e zenon_Hea zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H108 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80 zenon_H18b.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_L1158_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1161_); trivial.
% 1.50/1.63 apply (zenon_L504_); trivial.
% 1.50/1.63 apply (zenon_L1132_); trivial.
% 1.50/1.63 apply (zenon_L513_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1162_ *)
% 1.50/1.63 assert (zenon_L1163_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H163 zenon_H161 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L465_); trivial.
% 1.50/1.63 apply (zenon_L504_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1163_ *)
% 1.50/1.63 assert (zenon_L1164_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.63 apply (zenon_L508_); trivial.
% 1.50/1.63 apply (zenon_L170_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1164_ *)
% 1.50/1.63 assert (zenon_L1165_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1164_); trivial.
% 1.50/1.63 apply (zenon_L504_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1165_ *)
% 1.50/1.63 assert (zenon_L1166_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H3c zenon_H16e zenon_He4 zenon_H165 zenon_H231 zenon_H18b zenon_H1ca zenon_H10b zenon_H54 zenon_H11e zenon_Hd4 zenon_H55 zenon_H7e zenon_Hef zenon_H1a2 zenon_H2e zenon_H163 zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_H133 zenon_Hea zenon_H2a zenon_H1e4 zenon_H124 zenon_H138 zenon_H18a.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.63 apply (zenon_L947_); trivial.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_L1163_); trivial.
% 1.50/1.63 apply (zenon_L1165_); trivial.
% 1.50/1.63 apply (zenon_L449_); trivial.
% 1.50/1.63 apply (zenon_L513_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1166_ *)
% 1.50/1.63 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.63 apply (zenon_L1156_); trivial.
% 1.50/1.63 apply (zenon_L1117_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1167_ *)
% 1.50/1.63 assert (zenon_L1168_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.63 apply (zenon_L1106_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.63 apply (zenon_L554_); trivial.
% 1.50/1.63 apply (zenon_L229_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1168_ *)
% 1.50/1.63 assert (zenon_L1169_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1e2 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L26_); trivial.
% 1.50/1.63 apply (zenon_L1168_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1169_ *)
% 1.50/1.63 assert (zenon_L1170_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H50 zenon_H4d zenon_H2bf zenon_H2b5 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1126_); trivial.
% 1.50/1.63 apply (zenon_L1167_); trivial.
% 1.50/1.63 apply (zenon_L1169_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1170_ *)
% 1.50/1.63 assert (zenon_L1171_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H7e zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H161 zenon_H16f zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H108.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L1123_); trivial.
% 1.50/1.63 apply (zenon_L215_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1171_ *)
% 1.50/1.63 assert (zenon_L1172_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H161 zenon_H163 zenon_H3 zenon_H2b4 zenon_H2b6 zenon_H16f zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.63 apply (zenon_L1120_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.63 apply (zenon_L554_); trivial.
% 1.50/1.63 apply (zenon_L229_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1172_ *)
% 1.50/1.63 assert (zenon_L1173_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H108 zenon_H40 zenon_H1e2 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H55 zenon_H57 zenon_H59 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_Hef.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L26_); trivial.
% 1.50/1.63 apply (zenon_L1172_); trivial.
% 1.50/1.63 apply (zenon_L119_); trivial.
% 1.50/1.63 apply (zenon_L120_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1173_ *)
% 1.50/1.63 assert (zenon_L1174_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.63 apply (zenon_L155_); trivial.
% 1.50/1.63 apply (zenon_L1167_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1174_ *)
% 1.50/1.63 assert (zenon_L1175_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1100_); trivial.
% 1.50/1.63 apply (zenon_L559_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1175_ *)
% 1.50/1.63 assert (zenon_L1176_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_Hfd zenon_Hd7 zenon_Hd9.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.50/1.63 apply (zenon_L1089_); trivial.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.50/1.63 apply (zenon_L375_); trivial.
% 1.50/1.63 apply (zenon_L87_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1176_ *)
% 1.50/1.63 assert (zenon_L1177_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.63 apply (zenon_L1091_); trivial.
% 1.50/1.63 apply (zenon_L1176_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1177_ *)
% 1.50/1.63 assert (zenon_L1178_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.63 apply (zenon_L1177_); trivial.
% 1.50/1.63 apply (zenon_L559_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1178_ *)
% 1.50/1.63 assert (zenon_L1179_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.63 apply (zenon_L1175_); trivial.
% 1.50/1.63 apply (zenon_L1178_); trivial.
% 1.50/1.63 apply (zenon_L1132_); trivial.
% 1.50/1.63 (* end of lemma zenon_L1179_ *)
% 1.50/1.63 assert (zenon_L1180_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.50/1.63 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.50/1.63 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.50/1.64 apply (zenon_L297_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.50/1.64 apply (zenon_L306_); trivial.
% 1.50/1.64 apply (zenon_L11_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1180_ *)
% 1.50/1.64 assert (zenon_L1181_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H155 zenon_H20 zenon_H1f zenon_H1e zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.50/1.64 apply (zenon_L1180_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.50/1.64 apply (zenon_L420_); trivial.
% 1.50/1.64 exact (zenon_H153 zenon_H154).
% 1.50/1.64 (* end of lemma zenon_L1181_ *)
% 1.50/1.64 assert (zenon_L1182_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H29 zenon_H1c4 zenon_H5c zenon_H5e zenon_H5d zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H155 zenon_H5.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.64 apply (zenon_L421_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.64 apply (zenon_L1181_); trivial.
% 1.50/1.64 exact (zenon_H5 zenon_H6).
% 1.50/1.64 (* end of lemma zenon_L1182_ *)
% 1.50/1.64 assert (zenon_L1183_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H3b zenon_H2e zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.64 apply (zenon_L46_); trivial.
% 1.50/1.64 apply (zenon_L1182_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1183_ *)
% 1.50/1.64 assert (zenon_L1184_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.64 apply (zenon_L520_); trivial.
% 1.50/1.64 apply (zenon_L1183_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1184_ *)
% 1.50/1.64 assert (zenon_L1185_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1150_); trivial.
% 1.50/1.64 apply (zenon_L1184_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1185_ *)
% 1.50/1.64 assert (zenon_L1186_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H80 zenon_H1c4 zenon_H5 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.64 apply (zenon_L1114_); trivial.
% 1.50/1.64 apply (zenon_L1185_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1186_ *)
% 1.50/1.64 assert (zenon_L1187_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H210 zenon_H20f zenon_H18b zenon_H138 zenon_H80 zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H55 zenon_H7e zenon_Hf zenon_H3c zenon_H108 zenon_H54 zenon_Hea zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2a zenon_Hef zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_L1155_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1187_ *)
% 1.50/1.64 assert (zenon_L1188_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H8c zenon_H2a zenon_H3c zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hd zenon_Hf zenon_H54 zenon_H108.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1143_); trivial.
% 1.50/1.64 apply (zenon_L581_); trivial.
% 1.50/1.64 apply (zenon_L140_); trivial.
% 1.50/1.64 apply (zenon_L232_); trivial.
% 1.50/1.64 apply (zenon_L500_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1188_ *)
% 1.50/1.64 assert (zenon_L1189_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c zenon_H54.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.64 apply (zenon_L1160_); trivial.
% 1.50/1.64 apply (zenon_L170_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1189_ *)
% 1.50/1.64 assert (zenon_L1190_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L1189_); trivial.
% 1.50/1.64 apply (zenon_L235_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1190_ *)
% 1.50/1.64 assert (zenon_L1191_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.64 apply (zenon_L1147_); trivial.
% 1.50/1.64 apply (zenon_L170_); trivial.
% 1.50/1.64 apply (zenon_L235_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1191_ *)
% 1.50/1.64 assert (zenon_L1192_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_L493_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1192_ *)
% 1.50/1.64 assert (zenon_L1193_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H18a zenon_H185 zenon_H138 zenon_H86 zenon_H1e4 zenon_H1c2 zenon_H5 zenon_H1a2 zenon_H108 zenon_H54 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H3c zenon_H2a zenon_H8c zenon_Hef zenon_H1c0 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H124 zenon_H18b zenon_H2c1 zenon_H165 zenon_H1d9.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_L1188_); trivial.
% 1.50/1.64 apply (zenon_L1190_); trivial.
% 1.50/1.64 apply (zenon_L1191_); trivial.
% 1.50/1.64 apply (zenon_L241_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 apply (zenon_L1192_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1193_ *)
% 1.50/1.64 assert (zenon_L1194_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1c2 zenon_H5 zenon_H1a2 zenon_H1c0 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H55 zenon_H50 zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b zenon_H20f zenon_H210 zenon_H165 zenon_H1d9.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.64 apply (zenon_L1187_); trivial.
% 1.50/1.64 apply (zenon_L1193_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1194_ *)
% 1.50/1.64 assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H11d zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1177_); trivial.
% 1.50/1.64 apply (zenon_L1063_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1195_ *)
% 1.50/1.64 assert (zenon_L1196_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L418_); trivial.
% 1.50/1.64 apply (zenon_L1195_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1196_ *)
% 1.50/1.64 assert (zenon_L1197_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_L428_); trivial.
% 1.50/1.64 apply (zenon_L1196_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1197_ *)
% 1.50/1.64 assert (zenon_L1198_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L418_); trivial.
% 1.50/1.64 apply (zenon_L215_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1198_ *)
% 1.50/1.64 assert (zenon_L1199_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.64 apply (zenon_L1198_); trivial.
% 1.50/1.64 apply (zenon_L262_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1199_ *)
% 1.50/1.64 assert (zenon_L1200_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H1ca zenon_H202 zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H2c1 zenon_H210 zenon_H20f zenon_Hea zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H119 zenon_Hd4 zenon_H54 zenon_H124 zenon_H138 zenon_H18b.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.64 apply (zenon_L1197_); trivial.
% 1.50/1.64 apply (zenon_L262_); trivial.
% 1.50/1.64 apply (zenon_L1199_); trivial.
% 1.50/1.64 apply (zenon_L1103_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1200_ *)
% 1.50/1.64 assert (zenon_L1201_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L475_); trivial.
% 1.50/1.64 apply (zenon_L1122_); trivial.
% 1.50/1.64 apply (zenon_L140_); trivial.
% 1.50/1.64 apply (zenon_L120_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1201_ *)
% 1.50/1.64 assert (zenon_L1202_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.64 apply (zenon_L904_); trivial.
% 1.50/1.64 apply (zenon_L610_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1202_ *)
% 1.50/1.64 assert (zenon_L1203_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp12)) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_H2b6 zenon_H2b4 zenon_H12 zenon_H18f zenon_H1be.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.64 apply (zenon_L389_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.64 apply (zenon_L1105_); trivial.
% 1.50/1.64 exact (zenon_H1be zenon_H1bf).
% 1.50/1.64 (* end of lemma zenon_L1203_ *)
% 1.50/1.64 assert (zenon_L1204_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1e2 zenon_H153 zenon_H1e4 zenon_H23b zenon_H1dd zenon_H2b4 zenon_H2b6 zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hd zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.50/1.64 apply (zenon_L1202_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.64 apply (zenon_L1203_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.64 apply (zenon_L234_); trivial.
% 1.50/1.64 apply (zenon_L229_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1204_ *)
% 1.50/1.64 assert (zenon_L1205_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.64 apply (zenon_L266_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.64 apply (zenon_L74_); trivial.
% 1.50/1.64 exact (zenon_H1be zenon_H1bf).
% 1.50/1.64 (* end of lemma zenon_L1205_ *)
% 1.50/1.64 assert (zenon_L1206_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H71 zenon_H210 zenon_H20f zenon_H21d zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.64 apply (zenon_L26_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.50/1.64 apply (zenon_L1089_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.64 apply (zenon_L189_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.64 apply (zenon_L307_); trivial.
% 1.50/1.64 exact (zenon_H1be zenon_H1bf).
% 1.50/1.64 apply (zenon_L87_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1206_ *)
% 1.50/1.64 assert (zenon_L1207_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.64 apply (zenon_L389_); trivial.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.64 apply (zenon_L74_); trivial.
% 1.50/1.64 exact (zenon_H1be zenon_H1bf).
% 1.50/1.64 (* end of lemma zenon_L1207_ *)
% 1.50/1.64 assert (zenon_L1208_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a832))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H11d zenon_Hac zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H21d zenon_H1be zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H59 zenon_H57 zenon_H55 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H20f zenon_H210 zenon_H71 zenon_H1c0 zenon_H7e zenon_Hfd zenon_H2c1 zenon_H40 zenon_H54.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1205_); trivial.
% 1.50/1.64 apply (zenon_L1206_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1207_); trivial.
% 1.50/1.64 apply (zenon_L1206_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1208_ *)
% 1.50/1.64 assert (zenon_L1209_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H23b zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H20f zenon_H210 zenon_H71 zenon_H1c0 zenon_H2c1 zenon_Hef zenon_H7e zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H161 zenon_H16f zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H108.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L1123_); trivial.
% 1.50/1.64 apply (zenon_L1208_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1209_ *)
% 1.50/1.64 assert (zenon_L1210_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He4 zenon_He6 zenon_H2c1 zenon_Hf zenon_H3c zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_H1e4 zenon_H153 zenon_Hac zenon_H108 zenon_H54 zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H16f zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_Hef zenon_Hd4 zenon_H124.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.64 apply (zenon_L1171_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L1201_); trivial.
% 1.50/1.64 apply (zenon_L1204_); trivial.
% 1.50/1.64 apply (zenon_L1209_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1210_ *)
% 1.50/1.64 assert (zenon_L1211_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_He8 zenon_Hea zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_L1174_); trivial.
% 1.50/1.64 apply (zenon_L1169_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1211_ *)
% 1.50/1.64 assert (zenon_L1212_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c1_1 (a795))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_He4 zenon_He6 zenon_H59 zenon_H57 zenon_H55 zenon_H2b5 zenon_H7e zenon_H2c1 zenon_H54 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H2b6 zenon_H2b4 zenon_H1dd zenon_H23b zenon_H1e4 zenon_H153 zenon_H1e2 zenon_Hac zenon_H124.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L155_); trivial.
% 1.50/1.64 apply (zenon_L1204_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L155_); trivial.
% 1.50/1.64 apply (zenon_L1208_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1212_ *)
% 1.50/1.64 assert (zenon_L1213_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He4 zenon_He6 zenon_H59 zenon_H57 zenon_H2b5 zenon_H2c1 zenon_H54 zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H2b6 zenon_H2b4 zenon_H1dd zenon_H23b zenon_H1e4 zenon_H153 zenon_H1e2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.64 apply (zenon_L216_); trivial.
% 1.50/1.64 apply (zenon_L1212_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1213_ *)
% 1.50/1.64 assert (zenon_L1214_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H8c zenon_H16f zenon_H161 zenon_H163 zenon_H2b6 zenon_H2b4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_H55 zenon_H7e zenon_H108.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L1201_); trivial.
% 1.50/1.64 apply (zenon_L215_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1214_ *)
% 1.50/1.64 assert (zenon_L1215_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H80 zenon_H71 zenon_H2c1 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H2b5 zenon_H2bf zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_L1214_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.64 apply (zenon_L1153_); trivial.
% 1.50/1.64 apply (zenon_L215_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1215_ *)
% 1.50/1.64 assert (zenon_L1216_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H18a zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H138 zenon_H80 zenon_H71 zenon_H2c1 zenon_H50 zenon_H7e zenon_H55 zenon_H16f zenon_Hf zenon_H3c zenon_Hd4 zenon_H185 zenon_H264 zenon_H258 zenon_H25a zenon_H10b zenon_H210 zenon_H20f zenon_H221 zenon_H133 zenon_H11e zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H235 zenon_H1ca zenon_H18b zenon_H165 zenon_H1d9.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.64 apply (zenon_L1146_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.64 apply (zenon_L1215_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.50/1.64 apply (zenon_L592_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.64 apply (zenon_L370_); trivial.
% 1.50/1.64 apply (zenon_L1154_); trivial.
% 1.50/1.64 apply (zenon_L241_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_L655_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1216_ *)
% 1.50/1.64 assert (zenon_L1217_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138 zenon_H86 zenon_H1e4.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.64 apply (zenon_L244_); trivial.
% 1.50/1.64 apply (zenon_L1179_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1217_ *)
% 1.50/1.64 assert (zenon_L1218_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.64 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.64 apply (zenon_L1094_); trivial.
% 1.50/1.64 apply (zenon_L69_); trivial.
% 1.50/1.64 (* end of lemma zenon_L1218_ *)
% 1.50/1.64 assert (zenon_L1219_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_L418_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L122_); trivial.
% 1.50/1.65 apply (zenon_L1218_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1219_ *)
% 1.50/1.65 assert (zenon_L1220_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L428_); trivial.
% 1.50/1.65 apply (zenon_L1219_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1220_ *)
% 1.50/1.65 assert (zenon_L1221_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L1091_); trivial.
% 1.50/1.65 apply (zenon_L638_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1221_ *)
% 1.50/1.65 assert (zenon_L1222_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1221_); trivial.
% 1.50/1.65 apply (zenon_L852_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1222_ *)
% 1.50/1.65 assert (zenon_L1223_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_Hea zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef zenon_H18b.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.50/1.65 apply (zenon_L1144_); trivial.
% 1.50/1.65 apply (zenon_L170_); trivial.
% 1.50/1.65 apply (zenon_L235_); trivial.
% 1.50/1.65 apply (zenon_L1191_); trivial.
% 1.50/1.65 apply (zenon_L241_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1223_ *)
% 1.50/1.65 assert (zenon_L1224_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H18b zenon_Hef zenon_H1a2 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.65 apply (zenon_L1223_); trivial.
% 1.50/1.65 apply (zenon_L1222_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1224_ *)
% 1.50/1.65 assert (zenon_L1225_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H1e2 zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H50 zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b zenon_H165 zenon_H1d9 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.50/1.65 apply (zenon_L644_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.65 apply (zenon_L1155_); trivial.
% 1.50/1.65 apply (zenon_L1222_); trivial.
% 1.50/1.65 apply (zenon_L1224_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1225_ *)
% 1.50/1.65 assert (zenon_L1226_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H246 zenon_H245 zenon_H244 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1177_); trivial.
% 1.50/1.65 apply (zenon_L1026_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1226_ *)
% 1.50/1.65 assert (zenon_L1227_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L639_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_L770_); trivial.
% 1.50/1.65 apply (zenon_L1226_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1227_ *)
% 1.50/1.65 assert (zenon_L1228_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H1c6 zenon_H1c8 zenon_H127 zenon_H125 zenon_H133 zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.65 apply (zenon_L1198_); trivial.
% 1.50/1.65 apply (zenon_L642_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1228_ *)
% 1.50/1.65 assert (zenon_L1229_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H86 zenon_H1e4.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.65 apply (zenon_L244_); trivial.
% 1.50/1.65 apply (zenon_L1222_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1229_ *)
% 1.50/1.65 assert (zenon_L1230_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H80 zenon_H8a zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1156_); trivial.
% 1.50/1.65 apply (zenon_L798_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1230_ *)
% 1.50/1.65 assert (zenon_L1231_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1156_); trivial.
% 1.50/1.65 apply (zenon_L70_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1231_ *)
% 1.50/1.65 assert (zenon_L1232_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_L1230_); trivial.
% 1.50/1.65 apply (zenon_L1231_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1232_ *)
% 1.50/1.65 assert (zenon_L1233_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_H109 zenon_H10d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1114_); trivial.
% 1.50/1.65 apply (zenon_L95_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1233_ *)
% 1.50/1.65 assert (zenon_L1234_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1114_); trivial.
% 1.50/1.65 apply (zenon_L1218_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1234_ *)
% 1.50/1.65 assert (zenon_L1235_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H10d zenon_H2c1 zenon_H1f2 zenon_H11e zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1232_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.65 apply (zenon_L1233_); trivial.
% 1.50/1.65 apply (zenon_L255_); trivial.
% 1.50/1.65 apply (zenon_L1234_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1235_ *)
% 1.50/1.65 assert (zenon_L1236_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H81 zenon_H54 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L63_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L676_); trivial.
% 1.50/1.65 apply (zenon_L760_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1236_ *)
% 1.50/1.65 assert (zenon_L1237_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1156_); trivial.
% 1.50/1.65 apply (zenon_L1236_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1237_ *)
% 1.50/1.65 assert (zenon_L1238_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H124 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.65 apply (zenon_L1230_); trivial.
% 1.50/1.65 apply (zenon_L1237_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1238_ *)
% 1.50/1.65 assert (zenon_L1239_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H3b zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hfd zenon_Hd7 zenon_Hd9.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ].
% 1.50/1.65 apply (zenon_L1089_); trivial.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ].
% 1.50/1.65 apply (zenon_L667_); trivial.
% 1.50/1.65 apply (zenon_L87_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1239_ *)
% 1.50/1.65 assert (zenon_L1240_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L26_); trivial.
% 1.50/1.65 apply (zenon_L1239_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1240_ *)
% 1.50/1.65 assert (zenon_L1241_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.65 apply (zenon_L1106_); trivial.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.65 apply (zenon_L32_); trivial.
% 1.50/1.65 apply (zenon_L229_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1241_ *)
% 1.50/1.65 assert (zenon_L1242_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L676_); trivial.
% 1.50/1.65 apply (zenon_L1241_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1242_ *)
% 1.50/1.65 assert (zenon_L1243_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L55_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L27_); trivial.
% 1.50/1.65 apply (zenon_L1242_); trivial.
% 1.50/1.65 apply (zenon_L1240_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1243_ *)
% 1.50/1.65 assert (zenon_L1244_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H18b zenon_H108 zenon_H7 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2b5 zenon_H2c1 zenon_H138.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.65 apply (zenon_L1243_); trivial.
% 1.50/1.65 apply (zenon_L153_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1244_ *)
% 1.50/1.65 assert (zenon_L1245_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_H2c1 zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.65 apply (zenon_L1233_); trivial.
% 1.50/1.65 apply (zenon_L733_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1245_ *)
% 1.50/1.65 assert (zenon_L1246_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L407_); trivial.
% 1.50/1.65 apply (zenon_L1245_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1246_ *)
% 1.50/1.65 assert (zenon_L1247_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H20b zenon_H127 zenon_H125 zenon_H1c2 zenon_H5 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hf zenon_H3c zenon_H40 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.65 apply (zenon_L1246_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1156_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1100_); trivial.
% 1.50/1.65 apply (zenon_L677_); trivial.
% 1.50/1.65 apply (zenon_L733_); trivial.
% 1.50/1.65 apply (zenon_L1130_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1247_ *)
% 1.50/1.65 assert (zenon_L1248_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H20b.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.65 apply (zenon_L1247_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1100_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L676_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.50/1.65 apply (zenon_L735_); trivial.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.50/1.65 apply (zenon_L15_); trivial.
% 1.50/1.65 exact (zenon_H125 zenon_H126).
% 1.50/1.65 apply (zenon_L736_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1248_ *)
% 1.50/1.65 assert (zenon_L1249_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L1091_); trivial.
% 1.50/1.65 apply (zenon_L1239_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1249_ *)
% 1.50/1.65 assert (zenon_L1250_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1249_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L758_); trivial.
% 1.50/1.65 apply (zenon_L1239_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1250_ *)
% 1.50/1.65 assert (zenon_L1251_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1232_); trivial.
% 1.50/1.65 apply (zenon_L1250_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1251_ *)
% 1.50/1.65 assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2c1 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H231 zenon_H124.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1238_); trivial.
% 1.50/1.65 apply (zenon_L1250_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1252_ *)
% 1.50/1.65 assert (zenon_L1253_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H1ca zenon_H1bc zenon_H231 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H138.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.65 apply (zenon_L1251_); trivial.
% 1.50/1.65 apply (zenon_L1252_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1253_ *)
% 1.50/1.65 assert (zenon_L1254_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1100_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L676_); trivial.
% 1.50/1.65 apply (zenon_L752_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1254_ *)
% 1.50/1.65 assert (zenon_L1255_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1100_); trivial.
% 1.50/1.65 apply (zenon_L707_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1255_ *)
% 1.50/1.65 assert (zenon_L1256_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1255_); trivial.
% 1.50/1.65 apply (zenon_L1130_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1256_ *)
% 1.50/1.65 assert (zenon_L1257_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H20b zenon_H1d9 zenon_H155 zenon_H1c2 zenon_H5 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80 zenon_H102 zenon_H1 zenon_H2c1 zenon_H138.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.65 apply (zenon_L1156_); trivial.
% 1.50/1.65 apply (zenon_L281_); trivial.
% 1.50/1.65 apply (zenon_L733_); trivial.
% 1.50/1.65 apply (zenon_L1245_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.65 apply (zenon_L776_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1254_); trivial.
% 1.50/1.65 apply (zenon_L736_); trivial.
% 1.50/1.65 apply (zenon_L1256_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1257_ *)
% 1.50/1.65 assert (zenon_L1258_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H40 zenon_H2c1 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L26_); trivial.
% 1.50/1.65 apply (zenon_L1176_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1258_ *)
% 1.50/1.65 assert (zenon_L1259_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1100_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.65 apply (zenon_L676_); trivial.
% 1.50/1.65 apply (zenon_L785_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1259_ *)
% 1.50/1.65 assert (zenon_L1260_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H40.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.65 apply (zenon_L1249_); trivial.
% 1.50/1.65 apply (zenon_L707_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1260_ *)
% 1.50/1.65 assert (zenon_L1261_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1255_); trivial.
% 1.50/1.65 apply (zenon_L1260_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1261_ *)
% 1.50/1.65 assert (zenon_L1262_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H1d9 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H155 zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H20b.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.65 apply (zenon_L1247_); trivial.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1259_); trivial.
% 1.50/1.65 apply (zenon_L736_); trivial.
% 1.50/1.65 apply (zenon_L1261_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1262_ *)
% 1.50/1.65 assert (zenon_L1263_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H10d zenon_H1 zenon_H102 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H231 zenon_H124.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.65 apply (zenon_L1238_); trivial.
% 1.50/1.65 apply (zenon_L688_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1263_ *)
% 1.50/1.65 assert (zenon_L1264_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.65 do 0 intro. intros zenon_H187 zenon_H1ca zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H86 zenon_H185 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H231 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H11e zenon_H1f2 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H138.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.50/1.65 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.65 apply (zenon_L1235_); trivial.
% 1.50/1.65 apply (zenon_L1263_); trivial.
% 1.50/1.65 (* end of lemma zenon_L1264_ *)
% 1.50/1.65 assert (zenon_L1265_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_L224_); trivial.
% 1.50/1.66 apply (zenon_L1261_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1265_ *)
% 1.50/1.66 assert (zenon_L1266_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2c1 zenon_H80 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H5 zenon_H1c2 zenon_H231 zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H138.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_L1056_); trivial.
% 1.50/1.66 apply (zenon_L1252_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1266_ *)
% 1.50/1.66 assert (zenon_L1267_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.66 apply (zenon_L1064_); trivial.
% 1.50/1.66 apply (zenon_L766_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1267_ *)
% 1.50/1.66 assert (zenon_L1268_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L155_); trivial.
% 1.50/1.66 apply (zenon_L1267_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1268_ *)
% 1.50/1.66 assert (zenon_L1269_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1ca zenon_H102 zenon_H1 zenon_H10d zenon_H231 zenon_H133 zenon_H124 zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_Hd4 zenon_H55 zenon_H7e zenon_H80 zenon_Hac zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H138.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L155_); trivial.
% 1.50/1.66 apply (zenon_L831_); trivial.
% 1.50/1.66 apply (zenon_L1268_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L155_); trivial.
% 1.50/1.66 apply (zenon_L837_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L155_); trivial.
% 1.50/1.66 apply (zenon_L835_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1269_ *)
% 1.50/1.66 assert (zenon_L1270_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H231 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_L216_); trivial.
% 1.50/1.66 apply (zenon_L1263_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1270_ *)
% 1.50/1.66 assert (zenon_L1271_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_L985_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1271_ *)
% 1.50/1.66 assert (zenon_L1272_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H54 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2c1 zenon_H138.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1271_); trivial.
% 1.50/1.66 apply (zenon_L1240_); trivial.
% 1.50/1.66 apply (zenon_L1261_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1272_ *)
% 1.50/1.66 assert (zenon_L1273_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1249_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.66 apply (zenon_L200_); trivial.
% 1.50/1.66 apply (zenon_L864_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1273_ *)
% 1.50/1.66 assert (zenon_L1274_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H4d zenon_H50 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1273_); trivial.
% 1.50/1.66 apply (zenon_L1234_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1274_ *)
% 1.50/1.66 assert (zenon_L1275_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H4d zenon_H50 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1271_); trivial.
% 1.50/1.66 apply (zenon_L1274_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1275_ *)
% 1.50/1.66 assert (zenon_L1276_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H1a2 zenon_H7e zenon_H55 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H1c6 zenon_H1c8 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L905_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1273_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.66 apply (zenon_L218_); trivial.
% 1.50/1.66 apply (zenon_L900_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1276_ *)
% 1.50/1.66 assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_He8 zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1249_); trivial.
% 1.50/1.66 apply (zenon_L922_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1277_ *)
% 1.50/1.66 assert (zenon_L1278_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H127 zenon_H125 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1271_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1273_); trivial.
% 1.50/1.66 apply (zenon_L1277_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1278_ *)
% 1.50/1.66 assert (zenon_L1279_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_L493_); trivial.
% 1.50/1.66 apply (zenon_L1256_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1279_ *)
% 1.50/1.66 assert (zenon_L1280_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_L962_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1280_ *)
% 1.50/1.66 assert (zenon_L1281_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1273_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1249_); trivial.
% 1.50/1.66 apply (zenon_L975_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1281_ *)
% 1.50/1.66 assert (zenon_L1282_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.66 apply (zenon_L531_); trivial.
% 1.50/1.66 apply (zenon_L864_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1282_ *)
% 1.50/1.66 assert (zenon_L1283_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1249_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.66 apply (zenon_L520_); trivial.
% 1.50/1.66 apply (zenon_L1239_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1283_ *)
% 1.50/1.66 assert (zenon_L1284_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1283_); trivial.
% 1.50/1.66 apply (zenon_L215_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1284_ *)
% 1.50/1.66 assert (zenon_L1285_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L943_); trivial.
% 1.50/1.66 apply (zenon_L1284_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1285_ *)
% 1.50/1.66 assert (zenon_L1286_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_L1285_); trivial.
% 1.50/1.66 apply (zenon_L1282_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1286_ *)
% 1.50/1.66 assert (zenon_L1287_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H1ca zenon_H54 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H8c zenon_H1bc zenon_Hea zenon_H2e zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H209 zenon_H207 zenon_H1c4 zenon_H124 zenon_H138 zenon_Hf zenon_H18b.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1280_); trivial.
% 1.50/1.66 apply (zenon_L1281_); trivial.
% 1.50/1.66 apply (zenon_L1282_); trivial.
% 1.50/1.66 apply (zenon_L1286_); trivial.
% 1.50/1.66 apply (zenon_L1261_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1287_ *)
% 1.50/1.66 assert (zenon_L1288_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_L983_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1288_ *)
% 1.50/1.66 assert (zenon_L1289_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L905_); trivial.
% 1.50/1.66 apply (zenon_L1240_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1289_ *)
% 1.50/1.66 assert (zenon_L1290_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H57 zenon_H59 zenon_H133 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_L1285_); trivial.
% 1.50/1.66 apply (zenon_L1289_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1290_ *)
% 1.50/1.66 assert (zenon_L1291_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H138 zenon_H2c1 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H54 zenon_H124 zenon_H7e zenon_Hd4 zenon_H8c zenon_H133 zenon_H1ca zenon_H18b.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1288_); trivial.
% 1.50/1.66 apply (zenon_L1240_); trivial.
% 1.50/1.66 apply (zenon_L1290_); trivial.
% 1.50/1.66 apply (zenon_L1179_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1291_ *)
% 1.50/1.66 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp28)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_Hb zenon_H43 zenon_H44 zenon_H1bc zenon_He8.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.50/1.66 apply (zenon_L371_); trivial.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.50/1.66 apply (zenon_L198_); trivial.
% 1.50/1.66 exact (zenon_He8 zenon_He9).
% 1.50/1.66 (* end of lemma zenon_L1292_ *)
% 1.50/1.66 assert (zenon_L1293_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_Hbf zenon_H2e zenon_Hea zenon_He8 zenon_H43 zenon_H44 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hb zenon_Hd zenon_Hf.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.66 apply (zenon_L8_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.50/1.66 apply (zenon_L988_); trivial.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.50/1.66 apply (zenon_L198_); trivial.
% 1.50/1.66 exact (zenon_He8 zenon_He9).
% 1.50/1.66 (* end of lemma zenon_L1293_ *)
% 1.50/1.66 assert (zenon_L1294_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_L990_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1294_ *)
% 1.50/1.66 assert (zenon_L1295_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_L1273_); trivial.
% 1.50/1.66 apply (zenon_L1195_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1295_ *)
% 1.50/1.66 assert (zenon_L1296_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H1ca zenon_H133 zenon_H124 zenon_Hd4 zenon_H55 zenon_H7e zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hc2 zenon_H71 zenon_Hf zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_Hb4 zenon_H210 zenon_H20f zenon_H1bc zenon_Hea zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H155 zenon_H54 zenon_H2c1 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H119 zenon_H138 zenon_H18b.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.66 apply (zenon_L416_); trivial.
% 1.50/1.66 apply (zenon_L1292_); trivial.
% 1.50/1.66 apply (zenon_L1293_); trivial.
% 1.50/1.66 apply (zenon_L864_); trivial.
% 1.50/1.66 apply (zenon_L1294_); trivial.
% 1.50/1.66 apply (zenon_L1295_); trivial.
% 1.50/1.66 apply (zenon_L1282_); trivial.
% 1.50/1.66 apply (zenon_L1286_); trivial.
% 1.50/1.66 apply (zenon_L1179_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1296_ *)
% 1.50/1.66 assert (zenon_L1297_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L1158_); trivial.
% 1.50/1.66 apply (zenon_L1130_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1297_ *)
% 1.50/1.66 assert (zenon_L1298_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_L493_); trivial.
% 1.50/1.66 apply (zenon_L1297_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1298_ *)
% 1.50/1.66 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.66 apply (zenon_L493_); trivial.
% 1.50/1.66 apply (zenon_L1222_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1299_ *)
% 1.50/1.66 assert (zenon_L1300_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L639_); trivial.
% 1.50/1.66 apply (zenon_L808_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1300_ *)
% 1.50/1.66 assert (zenon_L1301_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.66 apply (zenon_L639_); trivial.
% 1.50/1.66 apply (zenon_L810_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1301_ *)
% 1.50/1.66 assert (zenon_L1302_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.50/1.66 apply (zenon_L48_); trivial.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.50/1.66 apply (zenon_L100_); trivial.
% 1.50/1.66 exact (zenon_H55 zenon_H56).
% 1.50/1.66 (* end of lemma zenon_L1302_ *)
% 1.50/1.66 assert (zenon_L1303_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.50/1.66 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.50/1.66 apply (zenon_L371_); trivial.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.50/1.66 apply (zenon_L1302_); trivial.
% 1.50/1.66 exact (zenon_He8 zenon_He9).
% 1.50/1.66 (* end of lemma zenon_L1303_ *)
% 1.50/1.66 assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H43 zenon_H44 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.50/1.66 apply (zenon_L988_); trivial.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.50/1.66 apply (zenon_L1302_); trivial.
% 1.50/1.66 exact (zenon_He8 zenon_He9).
% 1.50/1.66 (* end of lemma zenon_L1304_ *)
% 1.50/1.66 assert (zenon_L1305_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_H55 zenon_H90 zenon_H8f zenon_H8e zenon_He8 zenon_Hea.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.50/1.66 apply (zenon_L1303_); trivial.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.66 apply (zenon_L416_); trivial.
% 1.50/1.66 apply (zenon_L1304_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1305_ *)
% 1.50/1.66 assert (zenon_L1306_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H101 zenon_H54 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_H55 zenon_He8 zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.66 apply (zenon_L1100_); trivial.
% 1.50/1.66 apply (zenon_L1305_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1306_ *)
% 1.50/1.66 assert (zenon_L1307_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H133 zenon_H88 zenon_H1bc zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_Hef zenon_H54 zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H108.
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.66 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.66 apply (zenon_L453_); trivial.
% 1.50/1.66 apply (zenon_L1306_); trivial.
% 1.50/1.66 apply (zenon_L1051_); trivial.
% 1.50/1.66 (* end of lemma zenon_L1307_ *)
% 1.50/1.66 assert (zenon_L1308_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_L770_); trivial.
% 1.50/1.67 apply (zenon_L1195_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1308_ *)
% 1.50/1.67 assert (zenon_L1309_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_L155_); trivial.
% 1.50/1.67 apply (zenon_L1195_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1309_ *)
% 1.50/1.67 assert (zenon_L1310_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H119 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L1059_); trivial.
% 1.50/1.67 apply (zenon_L1309_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1310_ *)
% 1.50/1.67 assert (zenon_L1311_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L493_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.50/1.67 apply (zenon_L494_); trivial.
% 1.50/1.67 apply (zenon_L981_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1311_ *)
% 1.50/1.67 assert (zenon_L1312_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_L155_); trivial.
% 1.50/1.67 apply (zenon_L1231_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1312_ *)
% 1.50/1.67 assert (zenon_L1313_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H80 zenon_H124.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L1312_); trivial.
% 1.50/1.67 apply (zenon_L1309_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1313_ *)
% 1.50/1.67 assert (zenon_L1314_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H109 zenon_H4d zenon_H10d zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_L95_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1314_ *)
% 1.50/1.67 assert (zenon_L1315_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H142 zenon_He4 zenon_Hb2 zenon_H10d zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.67 apply (zenon_L1314_); trivial.
% 1.50/1.67 apply (zenon_L255_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1315_ *)
% 1.50/1.67 assert (zenon_L1316_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H97 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd.
% 1.50/1.67 generalize (zenon_H97 (a794)). zenon_intro zenon_H2ce.
% 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cf ].
% 1.50/1.67 exact (zenon_H11 zenon_H12).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d0 ].
% 1.50/1.67 exact (zenon_H2cb zenon_H2d1).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ].
% 1.50/1.67 exact (zenon_H2cc zenon_H2d3).
% 1.50/1.67 exact (zenon_H2d2 zenon_H2cd).
% 1.50/1.67 (* end of lemma zenon_L1316_ *)
% 1.50/1.67 assert (zenon_L1317_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.50/1.67 apply (zenon_L84_); trivial.
% 1.50/1.67 apply (zenon_L86_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1317_ *)
% 1.50/1.67 assert (zenon_L1318_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1c4 zenon_He8 zenon_H5c zenon_H5e zenon_H5d zenon_Hea zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.67 apply (zenon_L1317_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.67 apply (zenon_L74_); trivial.
% 1.50/1.67 exact (zenon_H5 zenon_H6).
% 1.50/1.67 (* end of lemma zenon_L1318_ *)
% 1.50/1.67 assert (zenon_L1319_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp9)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1b9 zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb2.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ].
% 1.50/1.67 apply (zenon_L108_); trivial.
% 1.50/1.67 exact (zenon_Hb2 zenon_Hb3).
% 1.50/1.67 (* end of lemma zenon_L1319_ *)
% 1.50/1.67 assert (zenon_L1320_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L476_); trivial.
% 1.50/1.67 apply (zenon_L159_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1320_ *)
% 1.50/1.67 assert (zenon_L1321_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1f2 zenon_H11e.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.50/1.67 apply (zenon_L1320_); trivial.
% 1.50/1.67 apply (zenon_L255_); trivial.
% 1.50/1.67 apply (zenon_L215_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1321_ *)
% 1.50/1.67 assert (zenon_L1322_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_H102 zenon_H1 zenon_H4d zenon_H10d zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_L1315_); trivial.
% 1.50/1.67 apply (zenon_L215_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1322_ *)
% 1.50/1.67 assert (zenon_L1323_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L294_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_L1315_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.67 apply (zenon_L1318_); trivial.
% 1.50/1.67 apply (zenon_L69_); trivial.
% 1.50/1.67 apply (zenon_L1319_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L1321_); trivial.
% 1.50/1.67 apply (zenon_L1322_); trivial.
% 1.50/1.67 apply (zenon_L1319_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1323_ *)
% 1.50/1.67 assert (zenon_L1324_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.50/1.67 apply (zenon_L84_); trivial.
% 1.50/1.67 apply (zenon_L72_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1324_ *)
% 1.50/1.67 assert (zenon_L1325_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.67 apply (zenon_L1324_); trivial.
% 1.50/1.67 exact (zenon_H1be zenon_H1bf).
% 1.50/1.67 (* end of lemma zenon_L1325_ *)
% 1.50/1.67 assert (zenon_L1326_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H102 zenon_Hd8 zenon_H5c zenon_H5e zenon_H5d zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.50/1.67 apply (zenon_L1324_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.50/1.67 apply (zenon_L87_); trivial.
% 1.50/1.67 exact (zenon_H1 zenon_H2).
% 1.50/1.67 (* end of lemma zenon_L1326_ *)
% 1.50/1.67 assert (zenon_L1327_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H1be zenon_H21d zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H102 zenon_H5.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.67 apply (zenon_L1325_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.67 apply (zenon_L1326_); trivial.
% 1.50/1.67 exact (zenon_H5 zenon_H6).
% 1.50/1.67 (* end of lemma zenon_L1327_ *)
% 1.50/1.67 assert (zenon_L1328_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_L1327_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1328_ *)
% 1.50/1.67 assert (zenon_L1329_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40 zenon_H80.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L132_); trivial.
% 1.50/1.67 apply (zenon_L1328_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1329_ *)
% 1.50/1.67 assert (zenon_L1330_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a794)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_Hf0 zenon_H2cd.
% 1.50/1.67 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4.
% 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ].
% 1.50/1.67 exact (zenon_H11 zenon_H12).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ].
% 1.50/1.67 exact (zenon_H2cb zenon_H2d1).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ].
% 1.50/1.67 generalize (zenon_Hf0 (a794)). zenon_intro zenon_H2d8.
% 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d9 ].
% 1.50/1.67 exact (zenon_H11 zenon_H12).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2da ].
% 1.50/1.67 exact (zenon_H2cb zenon_H2d1).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d2 ].
% 1.50/1.67 exact (zenon_H2d7 zenon_H2db).
% 1.50/1.67 exact (zenon_H2d2 zenon_H2cd).
% 1.50/1.67 exact (zenon_H2d2 zenon_H2cd).
% 1.50/1.67 (* end of lemma zenon_L1330_ *)
% 1.50/1.67 assert (zenon_L1331_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1330_); trivial.
% 1.50/1.67 apply (zenon_L148_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1331_ *)
% 1.50/1.67 assert (zenon_L1332_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.67 apply (zenon_L26_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.50/1.67 apply (zenon_L1331_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.50/1.67 apply (zenon_L15_); trivial.
% 1.50/1.67 exact (zenon_H125 zenon_H126).
% 1.50/1.67 (* end of lemma zenon_L1332_ *)
% 1.50/1.67 assert (zenon_L1333_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.67 apply (zenon_L223_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.67 apply (zenon_L1326_); trivial.
% 1.50/1.67 exact (zenon_H5 zenon_H6).
% 1.50/1.67 (* end of lemma zenon_L1333_ *)
% 1.50/1.67 assert (zenon_L1334_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40 zenon_H80.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L132_); trivial.
% 1.50/1.67 apply (zenon_L1333_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1334_ *)
% 1.50/1.67 assert (zenon_L1335_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_H2dc zenon_H2cc zenon_H2cd.
% 1.50/1.67 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4.
% 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ].
% 1.50/1.67 exact (zenon_H11 zenon_H12).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ].
% 1.50/1.67 exact (zenon_H2cb zenon_H2d1).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ].
% 1.50/1.67 generalize (zenon_H2dc (a794)). zenon_intro zenon_H2dd.
% 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H11 | zenon_intro zenon_H2de ].
% 1.50/1.67 exact (zenon_H11 zenon_H12).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2df ].
% 1.50/1.67 exact (zenon_H2cb zenon_H2d1).
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d3 ].
% 1.50/1.67 exact (zenon_H2d7 zenon_H2db).
% 1.50/1.67 exact (zenon_H2cc zenon_H2d3).
% 1.50/1.67 exact (zenon_H2d2 zenon_H2cd).
% 1.50/1.67 (* end of lemma zenon_L1335_ *)
% 1.50/1.67 assert (zenon_L1336_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1335_); trivial.
% 1.50/1.67 apply (zenon_L148_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1336_ *)
% 1.50/1.67 assert (zenon_L1337_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H16e zenon_He4.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.50/1.67 apply (zenon_L1336_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L161_); trivial.
% 1.50/1.67 apply (zenon_L148_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1337_ *)
% 1.50/1.67 assert (zenon_L1338_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca zenon_H1d9 zenon_H16e zenon_Haa zenon_H59 zenon_H155 zenon_H21d zenon_H20b zenon_H1ac.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.67 apply (zenon_L1323_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L1329_); trivial.
% 1.50/1.67 apply (zenon_L1332_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L1334_); trivial.
% 1.50/1.67 apply (zenon_L1332_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.67 apply (zenon_L1323_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L1329_); trivial.
% 1.50/1.67 apply (zenon_L1337_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L1334_); trivial.
% 1.50/1.67 apply (zenon_L1337_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1338_ *)
% 1.50/1.67 assert (zenon_L1339_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H1be.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.50/1.67 apply (zenon_L174_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.50/1.67 apply (zenon_L11_); trivial.
% 1.50/1.67 exact (zenon_H1be zenon_H1bf).
% 1.50/1.67 (* end of lemma zenon_L1339_ *)
% 1.50/1.67 assert (zenon_L1340_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H90 zenon_H8f zenon_H8e zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L48_); trivial.
% 1.50/1.67 apply (zenon_L1339_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1340_ *)
% 1.50/1.67 assert (zenon_L1341_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H90 zenon_H8f zenon_H8e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.67 apply (zenon_L8_); trivial.
% 1.50/1.67 apply (zenon_L1340_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1341_ *)
% 1.50/1.67 assert (zenon_L1342_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H8e zenon_H8f zenon_H90 zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2e.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.67 apply (zenon_L1341_); trivial.
% 1.50/1.67 apply (zenon_L17_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1342_ *)
% 1.50/1.67 assert (zenon_L1343_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H90 zenon_H8f zenon_H8e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.67 apply (zenon_L1342_); trivial.
% 1.50/1.67 apply (zenon_L22_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1343_ *)
% 1.50/1.67 assert (zenon_L1344_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H101 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L48_); trivial.
% 1.50/1.67 apply (zenon_L361_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1344_ *)
% 1.50/1.67 assert (zenon_L1345_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H124 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ae zenon_H1ad zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H108.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.67 apply (zenon_L247_); trivial.
% 1.50/1.67 apply (zenon_L1344_); trivial.
% 1.50/1.67 apply (zenon_L363_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1345_ *)
% 1.50/1.67 assert (zenon_L1346_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H133 zenon_H1ca.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.67 apply (zenon_L178_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L1345_); trivial.
% 1.50/1.67 apply (zenon_L114_); trivial.
% 1.50/1.67 apply (zenon_L153_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1346_ *)
% 1.50/1.67 assert (zenon_L1347_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_H2cb zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1330_); trivial.
% 1.50/1.67 apply (zenon_L192_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1347_ *)
% 1.50/1.67 assert (zenon_L1348_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H125.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.50/1.67 apply (zenon_L1347_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.50/1.67 apply (zenon_L15_); trivial.
% 1.50/1.67 exact (zenon_H125 zenon_H126).
% 1.50/1.67 (* end of lemma zenon_L1348_ *)
% 1.50/1.67 assert (zenon_L1349_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.67 apply (zenon_L26_); trivial.
% 1.50/1.67 apply (zenon_L1348_); trivial.
% 1.50/1.67 apply (zenon_L1332_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1349_ *)
% 1.50/1.67 assert (zenon_L1350_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1330_); trivial.
% 1.50/1.67 apply (zenon_L175_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1350_ *)
% 1.50/1.67 assert (zenon_L1351_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp5)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1c4 zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_He4 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H5.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.67 apply (zenon_L1350_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.67 apply (zenon_L460_); trivial.
% 1.50/1.67 exact (zenon_H5 zenon_H6).
% 1.50/1.67 (* end of lemma zenon_L1351_ *)
% 1.50/1.67 assert (zenon_L1352_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1330_); trivial.
% 1.50/1.67 apply (zenon_L361_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1352_ *)
% 1.50/1.67 assert (zenon_L1353_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.50/1.67 apply (zenon_L222_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.50/1.67 apply (zenon_L141_); trivial.
% 1.50/1.67 apply (zenon_L108_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1353_ *)
% 1.50/1.67 assert (zenon_L1354_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H1ca zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.67 apply (zenon_L1351_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.67 apply (zenon_L1352_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.67 apply (zenon_L1353_); trivial.
% 1.50/1.67 exact (zenon_H5 zenon_H6).
% 1.50/1.67 (* end of lemma zenon_L1354_ *)
% 1.50/1.67 assert (zenon_L1355_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.67 apply (zenon_L224_); trivial.
% 1.50/1.67 apply (zenon_L1354_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1355_ *)
% 1.50/1.67 assert (zenon_L1356_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1ca zenon_H231 zenon_Hd4 zenon_H5 zenon_H1c4 zenon_H1 zenon_H1d4 zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_He4 zenon_H16e zenon_H1d9.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.67 apply (zenon_L1349_); trivial.
% 1.50/1.67 apply (zenon_L1355_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1356_ *)
% 1.50/1.67 assert (zenon_L1357_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H16e zenon_H129 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H12 zenon_He4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ].
% 1.50/1.67 apply (zenon_L403_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ].
% 1.50/1.67 apply (zenon_L243_); trivial.
% 1.50/1.67 exact (zenon_He4 zenon_He5).
% 1.50/1.67 (* end of lemma zenon_L1357_ *)
% 1.50/1.67 assert (zenon_L1358_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp9)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_He4 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H16e zenon_Hb2.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ].
% 1.50/1.67 apply (zenon_L1357_); trivial.
% 1.50/1.67 exact (zenon_Hb2 zenon_Hb3).
% 1.50/1.67 (* end of lemma zenon_L1358_ *)
% 1.50/1.67 assert (zenon_L1359_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.67 apply (zenon_L74_); trivial.
% 1.50/1.67 exact (zenon_H1be zenon_H1bf).
% 1.50/1.67 (* end of lemma zenon_L1359_ *)
% 1.50/1.67 assert (zenon_L1360_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.67 apply (zenon_L1359_); trivial.
% 1.50/1.67 apply (zenon_L22_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1360_ *)
% 1.50/1.67 assert (zenon_L1361_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L1360_); trivial.
% 1.50/1.67 apply (zenon_L1327_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1361_ *)
% 1.50/1.67 assert (zenon_L1362_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.50/1.67 apply (zenon_L174_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.50/1.67 apply (zenon_L709_); trivial.
% 1.50/1.67 apply (zenon_L72_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1362_ *)
% 1.50/1.67 assert (zenon_L1363_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.67 apply (zenon_L1362_); trivial.
% 1.50/1.67 exact (zenon_H1be zenon_H1bf).
% 1.50/1.67 (* end of lemma zenon_L1363_ *)
% 1.50/1.67 assert (zenon_L1364_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.67 apply (zenon_L1330_); trivial.
% 1.50/1.67 apply (zenon_L1363_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1364_ *)
% 1.50/1.67 assert (zenon_L1365_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp4)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H102 zenon_H1be zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_Haa zenon_H1.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.50/1.67 apply (zenon_L1364_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.50/1.67 apply (zenon_L87_); trivial.
% 1.50/1.67 exact (zenon_H1 zenon_H2).
% 1.50/1.67 (* end of lemma zenon_L1365_ *)
% 1.50/1.67 assert (zenon_L1366_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H16e zenon_He4 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hf zenon_H3c zenon_H40 zenon_Haa zenon_H119 zenon_H1ae zenon_H1ad zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H138.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L407_); trivial.
% 1.50/1.67 apply (zenon_L1365_); trivial.
% 1.50/1.67 apply (zenon_L411_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1366_ *)
% 1.50/1.67 assert (zenon_L1367_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_Haa zenon_H119 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He6 zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.50/1.67 apply (zenon_L1358_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L407_); trivial.
% 1.50/1.67 apply (zenon_L1361_); trivial.
% 1.50/1.67 apply (zenon_L411_); trivial.
% 1.50/1.67 apply (zenon_L1366_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1367_ *)
% 1.50/1.67 assert (zenon_L1368_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.50/1.67 apply (zenon_L544_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.50/1.67 apply (zenon_L67_); trivial.
% 1.50/1.67 exact (zenon_H55 zenon_H56).
% 1.50/1.67 (* end of lemma zenon_L1368_ *)
% 1.50/1.67 assert (zenon_L1369_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp9)) -> False).
% 1.50/1.67 do 0 intro. intros zenon_Hbf zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_Hb2.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ].
% 1.50/1.67 apply (zenon_L1316_); trivial.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ].
% 1.50/1.67 apply (zenon_L1368_); trivial.
% 1.50/1.67 exact (zenon_Hb2 zenon_Hb3).
% 1.50/1.67 (* end of lemma zenon_L1369_ *)
% 1.50/1.67 assert (zenon_L1370_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.50/1.67 apply (zenon_L58_); trivial.
% 1.50/1.67 apply (zenon_L1369_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1370_ *)
% 1.50/1.67 assert (zenon_L1371_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.67 apply (zenon_L63_); trivial.
% 1.50/1.67 apply (zenon_L1370_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1371_ *)
% 1.50/1.67 assert (zenon_L1372_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.67 apply (zenon_L122_); trivial.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.67 apply (zenon_L1359_); trivial.
% 1.50/1.67 apply (zenon_L1370_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1372_ *)
% 1.50/1.67 assert (zenon_L1373_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.67 do 0 intro. intros zenon_H138 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80.
% 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.67 apply (zenon_L1371_); trivial.
% 1.50/1.67 apply (zenon_L1372_); trivial.
% 1.50/1.67 (* end of lemma zenon_L1373_ *)
% 1.50/1.67 assert (zenon_L1374_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1c4 zenon_H153 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.68 apply (zenon_L223_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.68 apply (zenon_L74_); trivial.
% 1.50/1.68 exact (zenon_H5 zenon_H6).
% 1.50/1.68 (* end of lemma zenon_L1374_ *)
% 1.50/1.68 assert (zenon_L1375_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H138 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1cd zenon_H1cc zenon_H1cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_L1371_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.68 apply (zenon_L122_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.68 apply (zenon_L1374_); trivial.
% 1.50/1.68 apply (zenon_L1370_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1375_ *)
% 1.50/1.68 assert (zenon_L1376_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.50/1.68 apply (zenon_L28_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.50/1.68 apply (zenon_L59_); trivial.
% 1.50/1.68 apply (zenon_L529_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1376_ *)
% 1.50/1.68 assert (zenon_L1377_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(hskp3)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_Hbf zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_He4.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L1376_); trivial.
% 1.50/1.68 apply (zenon_L148_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1377_ *)
% 1.50/1.68 assert (zenon_L1378_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H18c zenon_H80 zenon_Hc2 zenon_Haa zenon_H16e zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.68 apply (zenon_L122_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.50/1.68 apply (zenon_L58_); trivial.
% 1.50/1.68 apply (zenon_L1377_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1378_ *)
% 1.50/1.68 assert (zenon_L1379_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H103 zenon_He8 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.50/1.68 apply (zenon_L122_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.68 apply (zenon_L1318_); trivial.
% 1.50/1.68 apply (zenon_L1370_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1379_ *)
% 1.50/1.68 assert (zenon_L1380_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H4d zenon_H1 zenon_H102 zenon_Hd4 zenon_H124 zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c4 zenon_H5 zenon_He6 zenon_Hea zenon_H103 zenon_H138.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_L1371_); trivial.
% 1.50/1.68 apply (zenon_L1379_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_L1371_); trivial.
% 1.50/1.68 apply (zenon_L1322_); trivial.
% 1.50/1.68 apply (zenon_L1319_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1380_ *)
% 1.50/1.68 assert (zenon_L1381_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1d9 zenon_H2e0 zenon_H16e zenon_Haa zenon_H155 zenon_H21d zenon_H138 zenon_H103 zenon_Hea zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80 zenon_H124 zenon_Hd4 zenon_H102 zenon_H1 zenon_H10d zenon_H1f2 zenon_H11e zenon_H1ca zenon_H18b.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.68 apply (zenon_L1380_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.68 apply (zenon_L1373_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.50/1.68 apply (zenon_L1375_); trivial.
% 1.50/1.68 apply (zenon_L1337_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1381_ *)
% 1.50/1.68 assert (zenon_L1382_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H3b zenon_H209 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ].
% 1.50/1.68 apply (zenon_L1347_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ].
% 1.50/1.68 apply (zenon_L279_); trivial.
% 1.50/1.68 exact (zenon_H207 zenon_H208).
% 1.50/1.68 (* end of lemma zenon_L1382_ *)
% 1.50/1.68 assert (zenon_L1383_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H40 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.68 apply (zenon_L26_); trivial.
% 1.50/1.68 apply (zenon_L1382_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1383_ *)
% 1.50/1.68 assert (zenon_L1384_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H101 zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.68 apply (zenon_L1342_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.68 apply (zenon_L46_); trivial.
% 1.50/1.68 apply (zenon_L1340_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1384_ *)
% 1.50/1.68 assert (zenon_L1385_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c0_1 (a806)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1c2 zenon_H1dd zenon_H1f4 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L554_); trivial.
% 1.50/1.68 apply (zenon_L191_); trivial.
% 1.50/1.68 apply (zenon_L72_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1385_ *)
% 1.50/1.68 assert (zenon_L1386_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H1f4 zenon_H1dd zenon_H1c2 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H103 zenon_H1be.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.68 apply (zenon_L1385_); trivial.
% 1.50/1.68 exact (zenon_H1be zenon_H1bf).
% 1.50/1.68 (* end of lemma zenon_L1386_ *)
% 1.50/1.68 assert (zenon_L1387_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H135 zenon_H40 zenon_H21d zenon_Haa zenon_H1be zenon_H1c0 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.68 apply (zenon_L26_); trivial.
% 1.50/1.68 apply (zenon_L1386_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1387_ *)
% 1.50/1.68 assert (zenon_L1388_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H18c zenon_H138 zenon_H21d zenon_H23b zenon_H1dd zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H103 zenon_H55 zenon_H57 zenon_H59 zenon_H108 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.50/1.68 apply (zenon_L247_); trivial.
% 1.50/1.68 apply (zenon_L1384_); trivial.
% 1.50/1.68 apply (zenon_L149_); trivial.
% 1.50/1.68 apply (zenon_L1387_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1388_ *)
% 1.50/1.68 assert (zenon_L1389_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.68 apply (zenon_L161_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.68 apply (zenon_L1335_); trivial.
% 1.50/1.68 apply (zenon_L229_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1389_ *)
% 1.50/1.68 assert (zenon_L1390_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H1be.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.50/1.68 apply (zenon_L174_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.50/1.68 apply (zenon_L529_); trivial.
% 1.50/1.68 exact (zenon_H1be zenon_H1bf).
% 1.50/1.68 (* end of lemma zenon_L1390_ *)
% 1.50/1.68 assert (zenon_L1391_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_Ha0 zenon_H1c0 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.68 apply (zenon_L161_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.68 apply (zenon_L1390_); trivial.
% 1.50/1.68 apply (zenon_L229_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1391_ *)
% 1.50/1.68 assert (zenon_L1392_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.50/1.68 apply (zenon_L222_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.50/1.68 apply (zenon_L174_); trivial.
% 1.50/1.68 apply (zenon_L544_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1392_ *)
% 1.50/1.68 assert (zenon_L1393_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H231 zenon_H1f4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f6 zenon_H1f5 zenon_H1c0 zenon_H2e0.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.50/1.68 apply (zenon_L1389_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L161_); trivial.
% 1.50/1.68 apply (zenon_L1391_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.50/1.68 apply (zenon_L1389_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L161_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.50/1.68 apply (zenon_L161_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.50/1.68 apply (zenon_L1392_); trivial.
% 1.50/1.68 apply (zenon_L229_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1393_ *)
% 1.50/1.68 assert (zenon_L1394_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H1be.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ].
% 1.50/1.68 apply (zenon_L243_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ].
% 1.50/1.68 apply (zenon_L529_); trivial.
% 1.50/1.68 exact (zenon_H1be zenon_H1bf).
% 1.50/1.68 (* end of lemma zenon_L1394_ *)
% 1.50/1.68 assert (zenon_L1395_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f6 zenon_H1f5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L1394_); trivial.
% 1.50/1.68 apply (zenon_L1339_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1395_ *)
% 1.50/1.68 assert (zenon_L1396_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f6 zenon_H1f5 zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.50/1.68 apply (zenon_L8_); trivial.
% 1.50/1.68 apply (zenon_L1395_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1396_ *)
% 1.50/1.68 assert (zenon_L1397_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f6 zenon_H1f5 zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.50/1.68 apply (zenon_L1396_); trivial.
% 1.50/1.68 apply (zenon_L17_); trivial.
% 1.50/1.68 apply (zenon_L406_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1397_ *)
% 1.50/1.68 assert (zenon_L1398_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.50/1.68 apply (zenon_L1394_); trivial.
% 1.50/1.68 apply (zenon_L1363_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1398_ *)
% 1.50/1.68 assert (zenon_L1399_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H119 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He6 zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.50/1.68 apply (zenon_L1358_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_L1397_); trivial.
% 1.50/1.68 apply (zenon_L1361_); trivial.
% 1.50/1.68 apply (zenon_L411_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.50/1.68 apply (zenon_L407_); trivial.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.50/1.68 apply (zenon_L1398_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.50/1.68 apply (zenon_L87_); trivial.
% 1.50/1.68 exact (zenon_H1 zenon_H2).
% 1.50/1.68 apply (zenon_L411_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1399_ *)
% 1.50/1.68 assert (zenon_L1400_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H153 zenon_H12 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H1be.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.50/1.68 apply (zenon_L1316_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.50/1.68 apply (zenon_L331_); trivial.
% 1.50/1.68 exact (zenon_H1be zenon_H1bf).
% 1.50/1.68 (* end of lemma zenon_L1400_ *)
% 1.50/1.68 assert (zenon_L1401_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H42 zenon_H43 zenon_H44.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.50/1.68 apply (zenon_L136_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.50/1.68 apply (zenon_L298_); trivial.
% 1.50/1.68 apply (zenon_L19_); trivial.
% 1.50/1.68 (* end of lemma zenon_L1401_ *)
% 1.50/1.68 assert (zenon_L1402_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He4 zenon_H16e zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H5.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.50/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.68 apply (zenon_L1331_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.68 apply (zenon_L1401_); trivial.
% 1.50/1.68 exact (zenon_H5 zenon_H6).
% 1.50/1.68 (* end of lemma zenon_L1402_ *)
% 1.50/1.68 assert (zenon_L1403_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False).
% 1.50/1.68 do 0 intro. intros zenon_H1c4 zenon_H159 zenon_H15a zenon_H158 zenon_H16e zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.50/1.68 apply (zenon_L1331_); trivial.
% 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.50/1.68 apply (zenon_L74_); trivial.
% 1.50/1.68 exact (zenon_H5 zenon_H6).
% 1.50/1.68 (* end of lemma zenon_L1403_ *)
% 1.50/1.68 assert (zenon_L1404_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H18c zenon_H138 zenon_He6 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_He4 zenon_H16e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H54.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.68 apply (zenon_L27_); trivial.
% 1.57/1.68 apply (zenon_L1402_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.68 apply (zenon_L1403_); trivial.
% 1.57/1.68 apply (zenon_L1402_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1404_ *)
% 1.57/1.68 assert (zenon_L1405_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H1d9 zenon_H138 zenon_He6 zenon_H3c zenon_Haa zenon_He4 zenon_H16e zenon_H165 zenon_H5 zenon_H1c4 zenon_H54 zenon_H59 zenon_H57 zenon_H55 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.68 apply (zenon_L26_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.68 apply (zenon_L1400_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.68 apply (zenon_L15_); trivial.
% 1.57/1.68 exact (zenon_H125 zenon_H126).
% 1.57/1.68 apply (zenon_L1404_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1405_ *)
% 1.57/1.68 assert (zenon_L1406_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp7)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H5e zenon_H5d zenon_H5c zenon_H125 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.68 apply (zenon_L129_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.68 apply (zenon_L332_); trivial.
% 1.57/1.68 exact (zenon_H5 zenon_H6).
% 1.57/1.68 (* end of lemma zenon_L1406_ *)
% 1.57/1.68 assert (zenon_L1407_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H80 zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.68 apply (zenon_L122_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.68 apply (zenon_L62_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.68 apply (zenon_L58_); trivial.
% 1.57/1.68 apply (zenon_L1406_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1407_ *)
% 1.57/1.68 assert (zenon_L1408_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H138 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H210 zenon_H20f zenon_H5 zenon_H1c4 zenon_H40 zenon_H80.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_L1407_); trivial.
% 1.57/1.68 apply (zenon_L1333_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1408_ *)
% 1.57/1.68 assert (zenon_L1409_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca zenon_H1d9 zenon_Haa zenon_H16e zenon_H165 zenon_H59 zenon_H21d zenon_H210 zenon_H20f zenon_H155 zenon_H20b zenon_H1ac.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.68 apply (zenon_L1323_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.68 apply (zenon_L1405_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_L1408_); trivial.
% 1.57/1.68 apply (zenon_L1404_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.68 apply (zenon_L1323_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_L1407_); trivial.
% 1.57/1.68 apply (zenon_L1328_); trivial.
% 1.57/1.68 apply (zenon_L1337_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_L1408_); trivial.
% 1.57/1.68 apply (zenon_L1337_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1409_ *)
% 1.57/1.68 assert (zenon_L1410_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ca zenon_H133 zenon_H1c4 zenon_H20f zenon_H210 zenon_H1bc zenon_H1c0 zenon_H231 zenon_H21d zenon_H108 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H71 zenon_H7e zenon_H80 zenon_Hef zenon_H102 zenon_H103 zenon_Hea zenon_He4 zenon_He6 zenon_H8c zenon_H10d zenon_H10b zenon_H119 zenon_H11e zenon_H124 zenon_H138 zenon_H18b.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.68 apply (zenon_L178_); trivial.
% 1.57/1.68 apply (zenon_L354_); trivial.
% 1.57/1.68 apply (zenon_L153_); trivial.
% 1.57/1.68 apply (zenon_L1346_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1410_ *)
% 1.57/1.68 assert (zenon_L1411_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H1 zenon_H102 zenon_Hd4 zenon_H124 zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c4 zenon_H5 zenon_He6 zenon_Hea zenon_H103 zenon_H138 zenon_H21d zenon_H155 zenon_H210 zenon_H20f zenon_H165 zenon_H16e zenon_Haa zenon_H59 zenon_H1d9 zenon_H20b zenon_H1ac.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.68 apply (zenon_L1380_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.68 apply (zenon_L1373_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_L1375_); trivial.
% 1.57/1.68 apply (zenon_L1404_); trivial.
% 1.57/1.68 apply (zenon_L1381_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1411_ *)
% 1.57/1.68 assert (zenon_L1412_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H236 zenon_H138 zenon_H40 zenon_H21d zenon_Haa zenon_H1be zenon_H1c0 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5 zenon_H1c2 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_L370_); trivial.
% 1.57/1.68 apply (zenon_L1387_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1412_ *)
% 1.57/1.68 assert (zenon_L1413_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H71 zenon_H90 zenon_H8e zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.57/1.68 apply (zenon_L49_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.57/1.68 apply (zenon_L59_); trivial.
% 1.57/1.68 apply (zenon_L257_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1413_ *)
% 1.57/1.68 assert (zenon_L1414_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.68 apply (zenon_L1413_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.68 apply (zenon_L48_); trivial.
% 1.57/1.68 apply (zenon_L192_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1414_ *)
% 1.57/1.68 assert (zenon_L1415_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1c4 zenon_H5 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.68 apply (zenon_L26_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.68 apply (zenon_L1350_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.57/1.68 apply (zenon_L331_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.57/1.68 apply (zenon_L87_); trivial.
% 1.57/1.68 exact (zenon_H1 zenon_H2).
% 1.57/1.68 exact (zenon_H5 zenon_H6).
% 1.57/1.68 (* end of lemma zenon_L1415_ *)
% 1.57/1.68 assert (zenon_L1416_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H11d zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.68 apply (zenon_L26_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.68 apply (zenon_L1316_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.68 apply (zenon_L609_); trivial.
% 1.57/1.68 exact (zenon_H1be zenon_H1bf).
% 1.57/1.68 (* end of lemma zenon_L1416_ *)
% 1.57/1.68 assert (zenon_L1417_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H23b zenon_H1dd zenon_H1c2 zenon_H103 zenon_H108 zenon_H21d zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H7e zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H124.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.68 apply (zenon_L247_); trivial.
% 1.57/1.68 apply (zenon_L352_); trivial.
% 1.57/1.68 apply (zenon_L1416_); trivial.
% 1.57/1.68 apply (zenon_L1387_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1417_ *)
% 1.57/1.68 assert (zenon_L1418_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H135 zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.68 apply (zenon_L1360_); trivial.
% 1.57/1.68 apply (zenon_L468_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1418_ *)
% 1.57/1.68 assert (zenon_L1419_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H18c zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.57/1.68 apply (zenon_L1316_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.57/1.68 apply (zenon_L136_); trivial.
% 1.57/1.68 exact (zenon_H4d zenon_H4e).
% 1.57/1.68 (* end of lemma zenon_L1419_ *)
% 1.57/1.68 assert (zenon_L1420_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H138.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.68 apply (zenon_L469_); trivial.
% 1.57/1.68 apply (zenon_L1418_); trivial.
% 1.57/1.68 apply (zenon_L1419_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1420_ *)
% 1.57/1.68 assert (zenon_L1421_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.68 apply (zenon_L493_); trivial.
% 1.57/1.68 apply (zenon_L1332_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1421_ *)
% 1.57/1.68 assert (zenon_L1422_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H20b zenon_H16e zenon_Haa zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.68 apply (zenon_L1420_); trivial.
% 1.57/1.68 apply (zenon_L1421_); trivial.
% 1.57/1.68 (* end of lemma zenon_L1422_ *)
% 1.57/1.68 assert (zenon_L1423_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1be.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.68 apply (zenon_L1316_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.68 apply (zenon_L882_); trivial.
% 1.57/1.68 exact (zenon_H1be zenon_H1bf).
% 1.57/1.68 (* end of lemma zenon_L1423_ *)
% 1.57/1.68 assert (zenon_L1424_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H7e zenon_H1be zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.68 apply (zenon_L1423_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.68 apply (zenon_L67_); trivial.
% 1.57/1.68 exact (zenon_H55 zenon_H56).
% 1.57/1.68 (* end of lemma zenon_L1424_ *)
% 1.57/1.68 assert (zenon_L1425_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.68 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H21d zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H71 zenon_H55 zenon_H7e zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.68 apply (zenon_L58_); trivial.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.68 apply (zenon_L1424_); trivial.
% 1.57/1.68 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.68 apply (zenon_L101_); trivial.
% 1.57/1.68 exact (zenon_H125 zenon_H126).
% 1.57/1.68 (* end of lemma zenon_L1425_ *)
% 1.57/1.68 assert (zenon_L1426_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.69 apply (zenon_L122_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1359_); trivial.
% 1.57/1.69 apply (zenon_L1425_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1426_ *)
% 1.57/1.69 assert (zenon_L1427_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H21d zenon_H1be zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H7e zenon_H55 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124 zenon_H138.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_L428_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.69 apply (zenon_L418_); trivial.
% 1.57/1.69 apply (zenon_L1426_); trivial.
% 1.57/1.69 apply (zenon_L1319_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1427_ *)
% 1.57/1.69 assert (zenon_L1428_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_L1095_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1428_ *)
% 1.57/1.69 assert (zenon_L1429_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.69 apply (zenon_L58_); trivial.
% 1.57/1.69 apply (zenon_L1428_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1429_ *)
% 1.57/1.69 assert (zenon_L1430_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H121 zenon_H80 zenon_H54 zenon_Hc2 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.69 apply (zenon_L122_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1359_); trivial.
% 1.57/1.69 apply (zenon_L1429_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1430_ *)
% 1.57/1.69 assert (zenon_L1431_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hc2 zenon_H119 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H142 zenon_H54 zenon_H50 zenon_H4d zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.69 apply (zenon_L1360_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1359_); trivial.
% 1.57/1.69 apply (zenon_L660_); trivial.
% 1.57/1.69 apply (zenon_L1430_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1431_ *)
% 1.57/1.69 assert (zenon_L1432_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2e0 zenon_H192 zenon_H191 zenon_H190 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L493_); trivial.
% 1.57/1.69 apply (zenon_L1337_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1432_ *)
% 1.57/1.69 assert (zenon_L1433_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H10d zenon_H7e zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H202 zenon_H1ca zenon_Haa zenon_H16e zenon_H2e0 zenon_H20b.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_L428_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.69 apply (zenon_L418_); trivial.
% 1.57/1.69 apply (zenon_L1431_); trivial.
% 1.57/1.69 apply (zenon_L1319_); trivial.
% 1.57/1.69 apply (zenon_L1419_); trivial.
% 1.57/1.69 apply (zenon_L1432_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L1427_); trivial.
% 1.57/1.69 apply (zenon_L1337_); trivial.
% 1.57/1.69 apply (zenon_L1432_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1433_ *)
% 1.57/1.69 assert (zenon_L1434_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2a0 zenon_H11e zenon_H10d zenon_H2e0 zenon_H20b zenon_H16e zenon_Haa zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H59 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H1f2 zenon_H8c zenon_H142 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H202 zenon_H1ca zenon_H1ac.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.69 apply (zenon_L1422_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L1427_); trivial.
% 1.57/1.69 apply (zenon_L1332_); trivial.
% 1.57/1.69 apply (zenon_L1421_); trivial.
% 1.57/1.69 apply (zenon_L1433_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1434_ *)
% 1.57/1.69 assert (zenon_L1435_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H21d zenon_H138 zenon_Haa zenon_H16e zenon_H20b.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.69 apply (zenon_L1422_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_L1349_); trivial.
% 1.57/1.69 apply (zenon_L1421_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1435_ *)
% 1.57/1.69 assert (zenon_L1436_ : ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2e0 zenon_H1dd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.69 apply (zenon_L1389_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L161_); trivial.
% 1.57/1.69 apply (zenon_L175_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1436_ *)
% 1.57/1.69 assert (zenon_L1437_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L904_); trivial.
% 1.57/1.69 apply (zenon_L37_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1437_ *)
% 1.57/1.69 assert (zenon_L1438_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L727_); trivial.
% 1.57/1.69 apply (zenon_L1437_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1438_ *)
% 1.57/1.69 assert (zenon_L1439_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hb zenon_Hd zenon_Hf.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.69 apply (zenon_L8_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.69 apply (zenon_L1389_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L161_); trivial.
% 1.57/1.69 apply (zenon_L1339_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1439_ *)
% 1.57/1.69 assert (zenon_L1440_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H192 zenon_H191 zenon_H190 zenon_H1c0 zenon_H1be zenon_H2e0 zenon_H2e.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L1439_); trivial.
% 1.57/1.69 apply (zenon_L17_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1440_ *)
% 1.57/1.69 assert (zenon_L1441_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1440_); trivial.
% 1.57/1.69 apply (zenon_L110_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1441_ *)
% 1.57/1.69 assert (zenon_L1442_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H121 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H50 zenon_H4d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.69 apply (zenon_L480_); trivial.
% 1.57/1.69 apply (zenon_L1441_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1442_ *)
% 1.57/1.69 assert (zenon_L1443_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_Hd6 zenon_H1be.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_L72_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1443_ *)
% 1.57/1.69 assert (zenon_L1444_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H135 zenon_H2e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H1c6.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e3 ].
% 1.57/1.69 apply (zenon_L1389_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c7 ].
% 1.57/1.69 apply (zenon_L1443_); trivial.
% 1.57/1.69 exact (zenon_H1c6 zenon_H1c7).
% 1.57/1.69 (* end of lemma zenon_L1444_ *)
% 1.57/1.69 assert (zenon_L1445_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L493_); trivial.
% 1.57/1.69 apply (zenon_L1354_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1445_ *)
% 1.57/1.69 assert (zenon_L1446_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp20)) -> (~(hskp30)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H8a zenon_H9 zenon_H258 zenon_H25a zenon_H8c zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.57/1.69 apply (zenon_L243_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.57/1.69 apply (zenon_L415_); trivial.
% 1.57/1.69 apply (zenon_L72_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1446_ *)
% 1.57/1.69 assert (zenon_L1447_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp30)) -> (~(hskp20)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H8c zenon_H25a zenon_H258 zenon_H9 zenon_H8a zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1be.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_L1446_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1447_ *)
% 1.57/1.69 assert (zenon_L1448_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1c0 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be zenon_H21d.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.69 apply (zenon_L1447_); trivial.
% 1.57/1.69 apply (zenon_L400_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1448_ *)
% 1.57/1.69 assert (zenon_L1449_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H231 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H1bc zenon_H2e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L1448_); trivial.
% 1.57/1.69 apply (zenon_L405_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1449_ *)
% 1.57/1.69 assert (zenon_L1450_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.57/1.69 apply (zenon_L174_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.57/1.69 apply (zenon_L97_); trivial.
% 1.57/1.69 apply (zenon_L72_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1450_ *)
% 1.57/1.69 assert (zenon_L1451_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H1ae zenon_H1ad zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.69 apply (zenon_L218_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L98_); trivial.
% 1.57/1.69 apply (zenon_L1450_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1451_ *)
% 1.57/1.69 assert (zenon_L1452_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_He6 zenon_H21d zenon_H1c8 zenon_H1c6 zenon_Haa zenon_H11e zenon_H124 zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.69 apply (zenon_L1358_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_L407_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1359_); trivial.
% 1.57/1.69 apply (zenon_L1449_); trivial.
% 1.57/1.69 apply (zenon_L1451_); trivial.
% 1.57/1.69 apply (zenon_L411_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1452_ *)
% 1.57/1.69 assert (zenon_L1453_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H138 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_L428_); trivial.
% 1.57/1.69 apply (zenon_L1372_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1453_ *)
% 1.57/1.69 assert (zenon_L1454_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H20b zenon_H138 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H16e zenon_Haa zenon_H1d9.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L1453_); trivial.
% 1.57/1.69 apply (zenon_L1378_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L493_); trivial.
% 1.57/1.69 apply (zenon_L1378_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1454_ *)
% 1.57/1.69 assert (zenon_L1455_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L530_); trivial.
% 1.57/1.69 apply (zenon_L1339_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1455_ *)
% 1.57/1.69 assert (zenon_L1456_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.69 apply (zenon_L8_); trivial.
% 1.57/1.69 apply (zenon_L1455_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1456_ *)
% 1.57/1.69 assert (zenon_L1457_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2e.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L1456_); trivial.
% 1.57/1.69 apply (zenon_L17_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1457_ *)
% 1.57/1.69 assert (zenon_L1458_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp28)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hb zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H12 zenon_H42 zenon_H43 zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.57/1.69 apply (zenon_L136_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.57/1.69 apply (zenon_L527_); trivial.
% 1.57/1.69 apply (zenon_L19_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1458_ *)
% 1.57/1.69 assert (zenon_L1459_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L1330_); trivial.
% 1.57/1.69 apply (zenon_L350_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1459_ *)
% 1.57/1.69 assert (zenon_L1460_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1bc zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H264 zenon_H25a zenon_H258 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_Hb.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.57/1.69 apply (zenon_L243_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.57/1.69 apply (zenon_L432_); trivial.
% 1.57/1.69 apply (zenon_L72_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.57/1.69 apply (zenon_L529_); trivial.
% 1.57/1.69 exact (zenon_Hb zenon_Hc).
% 1.57/1.69 (* end of lemma zenon_L1460_ *)
% 1.57/1.69 assert (zenon_L1461_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_H1f6 zenon_H1f5 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H119 zenon_H1ae zenon_H1ad zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.69 apply (zenon_L1460_); trivial.
% 1.57/1.69 apply (zenon_L1450_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1461_ *)
% 1.57/1.69 assert (zenon_L1462_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp28)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H110 zenon_H111 zenon_H112 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f5 zenon_H1f6 zenon_Hb zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1be.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_L1461_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1462_ *)
% 1.57/1.69 assert (zenon_L1463_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H135 zenon_H11e zenon_H54 zenon_H40 zenon_H165 zenon_H1c0 zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H1c6 zenon_H1c8.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.69 apply (zenon_L218_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1359_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L1462_); trivial.
% 1.57/1.69 apply (zenon_L405_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1463_ *)
% 1.57/1.69 assert (zenon_L1464_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H21d zenon_He6 zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_Haa zenon_H11e zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.69 apply (zenon_L1358_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_L407_); trivial.
% 1.57/1.69 apply (zenon_L1463_); trivial.
% 1.57/1.69 apply (zenon_L411_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1464_ *)
% 1.57/1.69 assert (zenon_L1465_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_He6 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_He4 zenon_H16e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_L493_); trivial.
% 1.57/1.69 apply (zenon_L1404_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1465_ *)
% 1.57/1.69 assert (zenon_L1466_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H21d zenon_H138 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H165 zenon_H16e zenon_Haa zenon_H20b.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_L1420_); trivial.
% 1.57/1.69 apply (zenon_L1465_); trivial.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_L1405_); trivial.
% 1.57/1.69 apply (zenon_L1465_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1466_ *)
% 1.57/1.69 assert (zenon_L1467_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H2a0 zenon_H124 zenon_H11e zenon_H119 zenon_H10d zenon_H7e zenon_Hd4 zenon_H1f2 zenon_H8c zenon_H142 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_Hf zenon_Hb4 zenon_H202 zenon_H1ca zenon_H2e0 zenon_H20b zenon_Haa zenon_H16e zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H59 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9 zenon_H1ac.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.69 apply (zenon_L1466_); trivial.
% 1.57/1.69 apply (zenon_L1433_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1467_ *)
% 1.57/1.69 assert (zenon_L1468_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H29 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H155 zenon_H1be.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.69 apply (zenon_L1316_); trivial.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.69 apply (zenon_L1181_); trivial.
% 1.57/1.69 exact (zenon_H1be zenon_H1bf).
% 1.57/1.69 (* end of lemma zenon_L1468_ *)
% 1.57/1.69 assert (zenon_L1469_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H3b zenon_H2e zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.69 apply (zenon_L46_); trivial.
% 1.57/1.69 apply (zenon_L1468_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1469_ *)
% 1.57/1.69 assert (zenon_L1470_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8a zenon_H8c zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L343_); trivial.
% 1.57/1.69 apply (zenon_L1469_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1470_ *)
% 1.57/1.69 assert (zenon_L1471_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L520_); trivial.
% 1.57/1.69 apply (zenon_L1469_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1471_ *)
% 1.57/1.69 assert (zenon_L1472_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L475_); trivial.
% 1.57/1.69 apply (zenon_L1471_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1472_ *)
% 1.57/1.69 assert (zenon_L1473_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2e2 zenon_H1c6 zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H2e zenon_H1bc zenon_Hf zenon_H3c zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_H124.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.69 apply (zenon_L1472_); trivial.
% 1.57/1.69 apply (zenon_L500_); trivial.
% 1.57/1.69 apply (zenon_L1444_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1473_ *)
% 1.57/1.69 assert (zenon_L1474_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H18b zenon_H124 zenon_H40 zenon_H3c zenon_Hf zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H2e0 zenon_H2e zenon_Hea zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H8c zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H21d zenon_H54 zenon_H1c6 zenon_H2e2 zenon_H138 zenon_Haa zenon_He4 zenon_H16e zenon_H1d9.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.69 apply (zenon_L1440_); trivial.
% 1.57/1.69 apply (zenon_L1470_); trivial.
% 1.57/1.69 apply (zenon_L500_); trivial.
% 1.57/1.69 apply (zenon_L1444_); trivial.
% 1.57/1.69 apply (zenon_L1473_); trivial.
% 1.57/1.69 apply (zenon_L1337_); trivial.
% 1.57/1.69 apply (zenon_L1432_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1474_ *)
% 1.57/1.69 assert (zenon_L1475_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H1bc zenon_H2e.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.69 apply (zenon_L1448_); trivial.
% 1.57/1.69 apply (zenon_L1469_); trivial.
% 1.57/1.69 (* end of lemma zenon_L1475_ *)
% 1.57/1.69 assert (zenon_L1476_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c1_1 (a799))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H138 zenon_H124 zenon_H11e zenon_Haa zenon_H1c6 zenon_H1c8 zenon_H21d zenon_He6 zenon_H119 zenon_H258 zenon_H25a zenon_H8c zenon_H155 zenon_H264 zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H1d9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.70 apply (zenon_L1358_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_L407_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1359_); trivial.
% 1.57/1.70 apply (zenon_L1475_); trivial.
% 1.57/1.70 apply (zenon_L1451_); trivial.
% 1.57/1.70 apply (zenon_L245_); trivial.
% 1.57/1.70 apply (zenon_L411_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1476_ *)
% 1.57/1.70 assert (zenon_L1477_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8a zenon_H8c zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L27_); trivial.
% 1.57/1.70 apply (zenon_L1470_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1477_ *)
% 1.57/1.70 assert (zenon_L1478_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H11d zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H1c0 zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L26_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.70 apply (zenon_L486_); trivial.
% 1.57/1.70 apply (zenon_L175_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1478_ *)
% 1.57/1.70 assert (zenon_L1479_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L26_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L307_); trivial.
% 1.57/1.70 apply (zenon_L72_); trivial.
% 1.57/1.70 exact (zenon_H1be zenon_H1bf).
% 1.57/1.70 (* end of lemma zenon_L1479_ *)
% 1.57/1.70 assert (zenon_L1480_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H1c0 zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H124.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1472_); trivial.
% 1.57/1.70 apply (zenon_L1478_); trivial.
% 1.57/1.70 apply (zenon_L1479_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1480_ *)
% 1.57/1.70 assert (zenon_L1481_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1359_); trivial.
% 1.57/1.70 apply (zenon_L861_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1481_ *)
% 1.57/1.70 assert (zenon_L1482_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_L1081_); trivial.
% 1.57/1.70 apply (zenon_L1481_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1482_ *)
% 1.57/1.70 assert (zenon_L1483_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1cd zenon_H1cc zenon_H1cb zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L222_); trivial.
% 1.57/1.70 apply (zenon_L535_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1483_ *)
% 1.57/1.70 assert (zenon_L1484_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H18c zenon_H138 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2cd zenon_H2cc zenon_H2cb zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_L1081_); trivial.
% 1.57/1.70 apply (zenon_L1483_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1484_ *)
% 1.57/1.70 assert (zenon_L1485_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.70 apply (zenon_L493_); trivial.
% 1.57/1.70 apply (zenon_L1484_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1485_ *)
% 1.57/1.70 assert (zenon_L1486_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H289 zenon_H255 zenon_H1c8 zenon_H1c6 zenon_H119 zenon_H11e zenon_H20b zenon_H138 zenon_H54 zenon_H202 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H142 zenon_He4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H16e zenon_Haa zenon_H1d9 zenon_H18b zenon_H103 zenon_H8c zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H59 zenon_H3c zenon_H1c0 zenon_Hd4 zenon_H124 zenon_H231 zenon_H1ca zenon_H165 zenon_H23b zenon_H2e0 zenon_H1e2 zenon_H2a0 zenon_H2a5.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.70 apply (zenon_L1454_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1477_); trivial.
% 1.57/1.70 apply (zenon_L1478_); trivial.
% 1.57/1.70 apply (zenon_L1479_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1477_); trivial.
% 1.57/1.70 apply (zenon_L1416_); trivial.
% 1.57/1.70 apply (zenon_L1479_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.70 apply (zenon_L1480_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1472_); trivial.
% 1.57/1.70 apply (zenon_L1416_); trivial.
% 1.57/1.70 apply (zenon_L1479_); trivial.
% 1.57/1.70 apply (zenon_L1482_); trivial.
% 1.57/1.70 apply (zenon_L1485_); trivial.
% 1.57/1.70 apply (zenon_L1393_); trivial.
% 1.57/1.70 apply (zenon_L1464_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1486_ *)
% 1.57/1.70 assert (zenon_L1487_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_H1c2 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L667_); trivial.
% 1.57/1.70 apply (zenon_L657_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1487_ *)
% 1.57/1.70 assert (zenon_L1488_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L26_); trivial.
% 1.57/1.70 apply (zenon_L1487_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1488_ *)
% 1.57/1.70 assert (zenon_L1489_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H4b zenon_H50 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L478_); trivial.
% 1.57/1.70 apply (zenon_L657_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1489_ *)
% 1.57/1.70 assert (zenon_L1490_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H54 zenon_H10b zenon_H109 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H4b zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L91_); trivial.
% 1.57/1.70 apply (zenon_L1489_); trivial.
% 1.57/1.70 apply (zenon_L22_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1490_ *)
% 1.57/1.70 assert (zenon_L1491_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_Hbf zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L125_); trivial.
% 1.57/1.70 apply (zenon_L657_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1491_ *)
% 1.57/1.70 assert (zenon_L1492_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.70 apply (zenon_L58_); trivial.
% 1.57/1.70 apply (zenon_L1491_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1492_ *)
% 1.57/1.70 assert (zenon_L1493_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H81 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L62_); trivial.
% 1.57/1.70 apply (zenon_L1492_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1493_ *)
% 1.57/1.70 assert (zenon_L1494_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H80 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_L1493_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1494_ *)
% 1.57/1.70 assert (zenon_L1495_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4 zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L91_); trivial.
% 1.57/1.70 apply (zenon_L1492_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1495_ *)
% 1.57/1.70 assert (zenon_L1496_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_Hb4 zenon_Hb2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_Hc2 zenon_H40.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1495_); trivial.
% 1.57/1.70 apply (zenon_L660_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1496_ *)
% 1.57/1.70 assert (zenon_L1497_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.70 apply (zenon_L1335_); trivial.
% 1.57/1.70 apply (zenon_L764_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1497_ *)
% 1.57/1.70 assert (zenon_L1498_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H111 zenon_H110 zenon_H112 zenon_H1c2 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.70 apply (zenon_L718_); trivial.
% 1.57/1.70 apply (zenon_L764_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1498_ *)
% 1.57/1.70 assert (zenon_L1499_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.70 apply (zenon_L718_); trivial.
% 1.57/1.70 apply (zenon_L1497_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_L1498_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1499_ *)
% 1.57/1.70 assert (zenon_L1500_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H1c2 zenon_H5 zenon_Haa zenon_H1a2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_L1496_); trivial.
% 1.57/1.70 apply (zenon_L1499_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1500_ *)
% 1.57/1.70 assert (zenon_L1501_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_L95_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1501_ *)
% 1.57/1.70 assert (zenon_L1502_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H10d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_L1501_); trivial.
% 1.57/1.70 apply (zenon_L255_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1502_ *)
% 1.57/1.70 assert (zenon_L1503_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.70 apply (zenon_L169_); trivial.
% 1.57/1.70 apply (zenon_L764_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1503_ *)
% 1.57/1.70 assert (zenon_L1504_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1a9 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.70 apply (zenon_L169_); trivial.
% 1.57/1.70 apply (zenon_L1497_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_L1503_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1504_ *)
% 1.57/1.70 assert (zenon_L1505_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H2a0 zenon_H1ac zenon_H138 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H54 zenon_H10b zenon_H50 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H7e zenon_H10d zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H124 zenon_H202 zenon_H1ca zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_L1488_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_L1494_); trivial.
% 1.57/1.70 apply (zenon_L255_); trivial.
% 1.57/1.70 apply (zenon_L1500_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1502_); trivial.
% 1.57/1.70 apply (zenon_L1500_); trivial.
% 1.57/1.70 apply (zenon_L1319_); trivial.
% 1.57/1.70 apply (zenon_L1504_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1505_ *)
% 1.57/1.70 assert (zenon_L1506_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.70 apply (zenon_L161_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.70 apply (zenon_L658_); trivial.
% 1.57/1.70 apply (zenon_L229_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1506_ *)
% 1.57/1.70 assert (zenon_L1507_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L91_); trivial.
% 1.57/1.70 apply (zenon_L1506_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1507_ *)
% 1.57/1.70 assert (zenon_L1508_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1507_); trivial.
% 1.57/1.70 apply (zenon_L22_); trivial.
% 1.57/1.70 apply (zenon_L95_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1508_ *)
% 1.57/1.70 assert (zenon_L1509_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H102 zenon_H10b zenon_H138.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.70 apply (zenon_L696_); trivial.
% 1.57/1.70 apply (zenon_L232_); trivial.
% 1.57/1.70 apply (zenon_L720_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_L1508_); trivial.
% 1.57/1.70 apply (zenon_L720_); trivial.
% 1.57/1.70 apply (zenon_L171_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1509_ *)
% 1.57/1.70 assert (zenon_L1510_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1bc zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H7 zenon_H1e2 zenon_H108 zenon_H102 zenon_H10b zenon_H138 zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_L1488_); trivial.
% 1.57/1.70 apply (zenon_L1509_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1510_ *)
% 1.57/1.70 assert (zenon_L1511_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1d8 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L222_); trivial.
% 1.57/1.70 apply (zenon_L657_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1511_ *)
% 1.57/1.70 assert (zenon_L1512_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H20b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_L956_); trivial.
% 1.57/1.70 apply (zenon_L1511_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1512_ *)
% 1.57/1.70 assert (zenon_L1513_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1495_); trivial.
% 1.57/1.70 apply (zenon_L1370_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1513_ *)
% 1.57/1.70 assert (zenon_L1514_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H20b zenon_H231 zenon_H1f4 zenon_H1e2 zenon_H1f6 zenon_H1f5 zenon_H1c0 zenon_H2e0 zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_L1488_); trivial.
% 1.57/1.70 apply (zenon_L1393_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1514_ *)
% 1.57/1.70 assert (zenon_L1515_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H2a5 zenon_H20b zenon_H231 zenon_H1e2 zenon_H1c0 zenon_H40 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H59 zenon_H11e zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H54 zenon_H10b zenon_H50 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H80 zenon_H1ac zenon_H2a0.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_L1488_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_L1513_); trivial.
% 1.57/1.70 apply (zenon_L1499_); trivial.
% 1.57/1.70 apply (zenon_L1504_); trivial.
% 1.57/1.70 apply (zenon_L1514_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1515_ *)
% 1.57/1.70 assert (zenon_L1516_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.70 apply (zenon_L1316_); trivial.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.70 apply (zenon_L402_); trivial.
% 1.57/1.70 apply (zenon_L657_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1516_ *)
% 1.57/1.70 assert (zenon_L1517_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L91_); trivial.
% 1.57/1.70 apply (zenon_L1516_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1517_ *)
% 1.57/1.70 assert (zenon_L1518_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H119 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H10b zenon_H2e zenon_H1bc zenon_Hd zenon_Hf zenon_H54.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.70 apply (zenon_L1517_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.70 apply (zenon_L401_); trivial.
% 1.57/1.70 apply (zenon_L1516_); trivial.
% 1.57/1.70 apply (zenon_L733_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1518_ *)
% 1.57/1.70 assert (zenon_L1519_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H138 zenon_H50 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H54 zenon_Hf zenon_H1bc zenon_H2e zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c0 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H119 zenon_H11e zenon_H20b.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_L1518_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_L1501_); trivial.
% 1.57/1.70 apply (zenon_L733_); trivial.
% 1.57/1.70 apply (zenon_L1511_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_L1518_); trivial.
% 1.57/1.70 apply (zenon_L736_); trivial.
% 1.57/1.70 apply (zenon_L1511_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1519_ *)
% 1.57/1.70 assert (zenon_L1520_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H289 zenon_H255 zenon_H138 zenon_H10d zenon_H1 zenon_H102 zenon_Hf zenon_H1bc zenon_H2e zenon_H119 zenon_H2a0 zenon_H1ac zenon_H80 zenon_H202 zenon_H7e zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H50 zenon_H10b zenon_H54 zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H11e zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H1c0 zenon_H1e2 zenon_H231 zenon_H20b zenon_H2a5.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.57/1.70 apply (zenon_L1515_); trivial.
% 1.57/1.70 apply (zenon_L1519_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1520_ *)
% 1.57/1.70 assert (zenon_L1521_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_L417_); trivial.
% 1.57/1.70 apply (zenon_L255_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1521_ *)
% 1.57/1.70 assert (zenon_L1522_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H2a0 zenon_H1ac zenon_H124 zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H10d zenon_H7e zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H50 zenon_H10b zenon_H54 zenon_H11e zenon_H202 zenon_H1ca zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.70 apply (zenon_L1488_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.70 apply (zenon_L1521_); trivial.
% 1.57/1.70 apply (zenon_L1500_); trivial.
% 1.57/1.70 apply (zenon_L1319_); trivial.
% 1.57/1.70 apply (zenon_L1504_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1522_ *)
% 1.57/1.70 assert (zenon_L1523_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_Haa zenon_H1a2 zenon_H1d9 zenon_H27f zenon_H2e0 zenon_H55 zenon_Hd4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H1c0 zenon_H3c zenon_H155 zenon_H54 zenon_H10b zenon_H50 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H71 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H7e zenon_H80 zenon_H21d zenon_H1c6 zenon_H2e2 zenon_H138 zenon_H1ca zenon_H20b.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.70 apply (zenon_L1436_); trivial.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.70 apply (zenon_L1490_); trivial.
% 1.57/1.70 apply (zenon_L1438_); trivial.
% 1.57/1.70 apply (zenon_L1442_); trivial.
% 1.57/1.70 apply (zenon_L1444_); trivial.
% 1.57/1.70 apply (zenon_L1419_); trivial.
% 1.57/1.70 apply (zenon_L1511_); trivial.
% 1.57/1.70 apply (zenon_L1504_); trivial.
% 1.57/1.70 (* end of lemma zenon_L1523_ *)
% 1.57/1.70 assert (zenon_L1524_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.57/1.70 do 0 intro. intros zenon_H255 zenon_H165 zenon_H231 zenon_H1c8 zenon_H119 zenon_H2a0 zenon_H1ac zenon_H124 zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H10d zenon_H7e zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_H50 zenon_H10b zenon_H54 zenon_H11e zenon_H202 zenon_H1ca zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H20b zenon_H138 zenon_H2e2 zenon_H1c6 zenon_H21d zenon_Hf zenon_H133 zenon_H264 zenon_H1bc zenon_H155 zenon_H3c zenon_H1c0 zenon_H1e2 zenon_H27f zenon_H1d9 zenon_H2a5.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.71 apply (zenon_L1522_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.71 apply (zenon_L1488_); trivial.
% 1.57/1.71 apply (zenon_L1523_); trivial.
% 1.57/1.71 apply (zenon_L1512_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1524_ *)
% 1.57/1.71 assert (zenon_L1525_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H289 zenon_H255 zenon_H165 zenon_H1bc zenon_H2e zenon_Hf zenon_H3c zenon_H1c8 zenon_H1c6 zenon_H119 zenon_H138 zenon_H2a0 zenon_H1ac zenon_H80 zenon_H202 zenon_H7e zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H50 zenon_H10b zenon_H54 zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H11e zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H1c0 zenon_H1e2 zenon_H231 zenon_H20b zenon_H2a5.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.57/1.71 apply (zenon_L1515_); trivial.
% 1.57/1.71 apply (zenon_L1512_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1525_ *)
% 1.57/1.71 assert (zenon_L1526_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L637_); trivial.
% 1.57/1.71 apply (zenon_L17_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1526_ *)
% 1.57/1.71 assert (zenon_L1527_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp12)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H1be.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.71 apply (zenon_L371_); trivial.
% 1.57/1.71 exact (zenon_H1be zenon_H1bf).
% 1.57/1.71 (* end of lemma zenon_L1527_ *)
% 1.57/1.71 assert (zenon_L1528_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.71 apply (zenon_L820_); trivial.
% 1.57/1.71 apply (zenon_L657_); trivial.
% 1.57/1.71 exact (zenon_H1be zenon_H1bf).
% 1.57/1.71 (* end of lemma zenon_L1528_ *)
% 1.57/1.71 assert (zenon_L1529_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.71 apply (zenon_L1527_); trivial.
% 1.57/1.71 apply (zenon_L1528_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1529_ *)
% 1.57/1.71 assert (zenon_L1530_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L91_); trivial.
% 1.57/1.71 apply (zenon_L1529_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1530_ *)
% 1.57/1.71 assert (zenon_L1531_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_Hc2 zenon_H40.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.71 apply (zenon_L1530_); trivial.
% 1.57/1.71 apply (zenon_L660_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1531_ *)
% 1.57/1.71 assert (zenon_L1532_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_H199 zenon_H2cc zenon_H2cd.
% 1.57/1.71 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4.
% 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ].
% 1.57/1.71 exact (zenon_H11 zenon_H12).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ].
% 1.57/1.71 exact (zenon_H2cb zenon_H2d1).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ].
% 1.57/1.71 generalize (zenon_H199 (a794)). zenon_intro zenon_H2e4.
% 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e5 ].
% 1.57/1.71 exact (zenon_H11 zenon_H12).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d0 ].
% 1.57/1.71 exact (zenon_H2d7 zenon_H2db).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ].
% 1.57/1.71 exact (zenon_H2cc zenon_H2d3).
% 1.57/1.71 exact (zenon_H2d2 zenon_H2cd).
% 1.57/1.71 exact (zenon_H2d2 zenon_H2cd).
% 1.57/1.71 (* end of lemma zenon_L1532_ *)
% 1.57/1.71 assert (zenon_L1533_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H65 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.71 apply (zenon_L1532_); trivial.
% 1.57/1.71 apply (zenon_L764_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1533_ *)
% 1.57/1.71 assert (zenon_L1534_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_Ha0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.71 apply (zenon_L1533_); trivial.
% 1.57/1.71 apply (zenon_L1033_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1534_ *)
% 1.57/1.71 assert (zenon_L1535_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H4b zenon_H4d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.71 apply (zenon_L1335_); trivial.
% 1.57/1.71 apply (zenon_L1033_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_L1534_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1535_ *)
% 1.57/1.71 assert (zenon_L1536_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hc2 zenon_H2e0 zenon_H1a2 zenon_H28d zenon_H28e zenon_H28c zenon_H190 zenon_H191 zenon_H192 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.71 apply (zenon_L1527_); trivial.
% 1.57/1.71 apply (zenon_L1535_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1536_ *)
% 1.57/1.71 assert (zenon_L1537_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.71 apply (zenon_L163_); trivial.
% 1.57/1.71 apply (zenon_L764_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1537_ *)
% 1.57/1.71 assert (zenon_L1538_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H28c zenon_H28e zenon_H28d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.57/1.71 apply (zenon_L163_); trivial.
% 1.57/1.71 apply (zenon_L1497_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_L1537_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1538_ *)
% 1.57/1.71 assert (zenon_L1539_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H112 zenon_H110 zenon_H111 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1a2 zenon_Hb2 zenon_Hb4.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.71 apply (zenon_L58_); trivial.
% 1.57/1.71 apply (zenon_L1538_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1539_ *)
% 1.57/1.71 assert (zenon_L1540_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H80 zenon_H71 zenon_Haa zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1e2 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28e zenon_H28d zenon_H1a2 zenon_H2e0 zenon_Hc2.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L1536_); trivial.
% 1.57/1.71 apply (zenon_L1539_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1540_ *)
% 1.57/1.71 assert (zenon_L1541_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H11d zenon_H11e zenon_Haa zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1a2 zenon_H2e0 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L1490_); trivial.
% 1.57/1.71 apply (zenon_L1531_); trivial.
% 1.57/1.71 apply (zenon_L1540_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1541_ *)
% 1.57/1.71 assert (zenon_L1542_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1ca zenon_H202 zenon_H11e zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H21d zenon_H20f zenon_H210 zenon_H2e0 zenon_H1a2 zenon_H1e2 zenon_Haa zenon_H124 zenon_H20b.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_L1521_); trivial.
% 1.57/1.71 apply (zenon_L1541_); trivial.
% 1.57/1.71 apply (zenon_L1319_); trivial.
% 1.57/1.71 apply (zenon_L1511_); trivial.
% 1.57/1.71 apply (zenon_L1504_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1542_ *)
% 1.57/1.71 assert (zenon_L1543_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.71 apply (zenon_L1440_); trivial.
% 1.57/1.71 apply (zenon_L22_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1543_ *)
% 1.57/1.71 assert (zenon_L1544_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H20b zenon_H59 zenon_H57 zenon_H55 zenon_H21d zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_Hc2 zenon_H40.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L26_); trivial.
% 1.57/1.71 apply (zenon_L1529_); trivial.
% 1.57/1.71 apply (zenon_L1511_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1544_ *)
% 1.57/1.71 assert (zenon_L1545_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1be.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.71 apply (zenon_L1061_); trivial.
% 1.57/1.71 exact (zenon_H1be zenon_H1bf).
% 1.57/1.71 (* end of lemma zenon_L1545_ *)
% 1.57/1.71 assert (zenon_L1546_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H50 zenon_H4b zenon_H4d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.71 apply (zenon_L161_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.71 apply (zenon_L1545_); trivial.
% 1.57/1.71 apply (zenon_L1033_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1546_ *)
% 1.57/1.71 assert (zenon_L1547_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hc2 zenon_H1e2 zenon_H4b zenon_H4d zenon_H50 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.71 apply (zenon_L1527_); trivial.
% 1.57/1.71 apply (zenon_L1546_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1547_ *)
% 1.57/1.71 assert (zenon_L1548_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H80 zenon_H2e0 zenon_H71 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H190 zenon_H191 zenon_H192 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L1547_); trivial.
% 1.57/1.71 apply (zenon_L1539_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1548_ *)
% 1.57/1.71 assert (zenon_L1549_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H71 zenon_H2e zenon_H21d zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1e2 zenon_H50 zenon_H28c zenon_H28e zenon_H28d zenon_H1a2 zenon_H2e0 zenon_Hc2 zenon_H11e zenon_H54 zenon_H10b zenon_H103 zenon_H1f2 zenon_H8c zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H119 zenon_Haa zenon_H124 zenon_H138 zenon_H20b.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L1536_); trivial.
% 1.57/1.71 apply (zenon_L427_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_L1521_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.71 apply (zenon_L1513_); trivial.
% 1.57/1.71 apply (zenon_L1548_); trivial.
% 1.57/1.71 apply (zenon_L1419_); trivial.
% 1.57/1.71 apply (zenon_L1511_); trivial.
% 1.57/1.71 apply (zenon_L1504_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1549_ *)
% 1.57/1.71 assert (zenon_L1550_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.71 apply (zenon_L188_); trivial.
% 1.57/1.71 apply (zenon_L191_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1550_ *)
% 1.57/1.71 assert (zenon_L1551_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H3b zenon_H103 zenon_H1be zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.71 apply (zenon_L1316_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.71 apply (zenon_L1550_); trivial.
% 1.57/1.71 apply (zenon_L657_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1551_ *)
% 1.57/1.71 assert (zenon_L1552_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H11d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L26_); trivial.
% 1.57/1.71 apply (zenon_L1551_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1552_ *)
% 1.57/1.71 assert (zenon_L1553_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H289 zenon_H255 zenon_H1c8 zenon_H1c6 zenon_H2a0 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H2e zenon_H1e2 zenon_H50 zenon_H1a2 zenon_H2e0 zenon_H11e zenon_H54 zenon_H10b zenon_H1f2 zenon_H8c zenon_H202 zenon_H7e zenon_H119 zenon_Haa zenon_H124 zenon_H138 zenon_H40 zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_H210 zenon_H20f zenon_H21d zenon_H59 zenon_H20b zenon_H18b zenon_H1ca zenon_H133 zenon_Hd4 zenon_H1c0 zenon_H3c zenon_Hea zenon_H1bc zenon_H165 zenon_H23b zenon_H231 zenon_H2a5.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.71 apply (zenon_L1544_); trivial.
% 1.57/1.71 apply (zenon_L1549_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_L1477_); trivial.
% 1.57/1.71 apply (zenon_L1552_); trivial.
% 1.57/1.71 apply (zenon_L1479_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.71 apply (zenon_L1480_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.71 apply (zenon_L1457_); trivial.
% 1.57/1.71 apply (zenon_L1471_); trivial.
% 1.57/1.71 apply (zenon_L1552_); trivial.
% 1.57/1.71 apply (zenon_L1479_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_L1081_); trivial.
% 1.57/1.71 apply (zenon_L1479_); trivial.
% 1.57/1.71 apply (zenon_L1485_); trivial.
% 1.57/1.71 apply (zenon_L1393_); trivial.
% 1.57/1.71 apply (zenon_L1512_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1553_ *)
% 1.57/1.71 assert (zenon_L1554_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H2e6 zenon_H12 zenon_H2e7 zenon_H2e8 zenon_H2e9.
% 1.57/1.71 generalize (zenon_H2e6 (a793)). zenon_intro zenon_H2ea.
% 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H2eb ].
% 1.57/1.71 exact (zenon_H11 zenon_H12).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ].
% 1.57/1.71 exact (zenon_H2e7 zenon_H2ed).
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2ee ].
% 1.57/1.71 exact (zenon_H2ef zenon_H2e8).
% 1.57/1.71 exact (zenon_H2ee zenon_H2e9).
% 1.57/1.71 (* end of lemma zenon_L1554_ *)
% 1.57/1.71 assert (zenon_L1555_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H4d zenon_H109 zenon_H10d zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.71 apply (zenon_L94_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.71 apply (zenon_L1554_); trivial.
% 1.57/1.71 apply (zenon_L108_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1555_ *)
% 1.57/1.71 assert (zenon_L1556_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L55_); trivial.
% 1.57/1.71 apply (zenon_L1555_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1556_ *)
% 1.57/1.71 assert (zenon_L1557_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H10b zenon_H1 zenon_H102 zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H71 zenon_H7e zenon_H11e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.71 apply (zenon_L1556_); trivial.
% 1.57/1.71 apply (zenon_L112_); trivial.
% 1.57/1.71 apply (zenon_L114_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1557_ *)
% 1.57/1.71 assert (zenon_L1558_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.71 apply (zenon_L129_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.71 apply (zenon_L1554_); trivial.
% 1.57/1.71 apply (zenon_L108_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1558_ *)
% 1.57/1.71 assert (zenon_L1559_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.71 apply (zenon_L58_); trivial.
% 1.57/1.71 apply (zenon_L1558_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1559_ *)
% 1.57/1.71 assert (zenon_L1560_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H1 zenon_H55 zenon_H57 zenon_H59 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H40 zenon_H80.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L122_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L62_); trivial.
% 1.57/1.71 apply (zenon_L1559_); trivial.
% 1.57/1.71 apply (zenon_L135_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1560_ *)
% 1.57/1.71 assert (zenon_L1561_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H59 zenon_H57 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H102 zenon_H138.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.71 apply (zenon_L265_); trivial.
% 1.57/1.71 apply (zenon_L1560_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1561_ *)
% 1.57/1.71 assert (zenon_L1562_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_He4 zenon_H142 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_L702_); trivial.
% 1.57/1.71 apply (zenon_L252_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1562_ *)
% 1.57/1.71 assert (zenon_L1563_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H138 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_L1562_); trivial.
% 1.57/1.71 apply (zenon_L168_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1563_ *)
% 1.57/1.71 assert (zenon_L1564_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_Hec zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.71 apply (zenon_L23_); trivial.
% 1.57/1.71 apply (zenon_L1555_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1564_ *)
% 1.57/1.71 assert (zenon_L1565_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H109 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_Hef.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.71 apply (zenon_L4_); trivial.
% 1.57/1.71 apply (zenon_L1564_); trivial.
% 1.57/1.71 apply (zenon_L454_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1565_ *)
% 1.57/1.71 assert (zenon_L1566_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hef zenon_H142 zenon_He4 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H11e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.71 apply (zenon_L1565_); trivial.
% 1.57/1.71 apply (zenon_L167_); trivial.
% 1.57/1.71 apply (zenon_L168_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1566_ *)
% 1.57/1.71 assert (zenon_L1567_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H138 zenon_H1a2 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1ca.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.71 apply (zenon_L1563_); trivial.
% 1.57/1.71 apply (zenon_L1566_); trivial.
% 1.57/1.71 apply (zenon_L171_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1567_ *)
% 1.57/1.71 assert (zenon_L1568_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H108 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.71 apply (zenon_L185_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.71 apply (zenon_L27_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L26_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.71 apply (zenon_L46_); trivial.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.71 apply (zenon_L201_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.71 apply (zenon_L1554_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.71 apply (zenon_L201_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.71 apply (zenon_L461_); trivial.
% 1.57/1.71 exact (zenon_H125 zenon_H126).
% 1.57/1.71 (* end of lemma zenon_L1568_ *)
% 1.57/1.71 assert (zenon_L1569_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H124 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H108.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.71 apply (zenon_L1568_); trivial.
% 1.57/1.71 apply (zenon_L195_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1569_ *)
% 1.57/1.71 assert (zenon_L1570_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.71 apply (zenon_L193_); trivial.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.71 apply (zenon_L1554_); trivial.
% 1.57/1.71 apply (zenon_L108_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1570_ *)
% 1.57/1.71 assert (zenon_L1571_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L26_); trivial.
% 1.57/1.71 apply (zenon_L1570_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1571_ *)
% 1.57/1.71 assert (zenon_L1572_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.71 apply (zenon_L109_); trivial.
% 1.57/1.71 apply (zenon_L1570_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1572_ *)
% 1.57/1.71 assert (zenon_L1573_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.71 apply (zenon_L27_); trivial.
% 1.57/1.71 apply (zenon_L1572_); trivial.
% 1.57/1.71 (* end of lemma zenon_L1573_ *)
% 1.57/1.71 assert (zenon_L1574_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H11e zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L207_); trivial.
% 1.57/1.72 apply (zenon_L1571_); trivial.
% 1.57/1.72 apply (zenon_L1573_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1574_ *)
% 1.57/1.72 assert (zenon_L1575_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L203_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L76_); trivial.
% 1.57/1.72 apply (zenon_L1571_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1575_ *)
% 1.57/1.72 assert (zenon_L1576_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H148 zenon_H147 zenon_H153 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.72 apply (zenon_L219_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.72 apply (zenon_L1554_); trivial.
% 1.57/1.72 apply (zenon_L108_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1576_ *)
% 1.57/1.72 assert (zenon_L1577_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L26_); trivial.
% 1.57/1.72 apply (zenon_L1576_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1577_ *)
% 1.57/1.72 assert (zenon_L1578_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.72 apply (zenon_L216_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L155_); trivial.
% 1.57/1.72 apply (zenon_L1577_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1578_ *)
% 1.57/1.72 assert (zenon_L1579_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Had zenon_H80 zenon_Haa zenon_H90 zenon_H8f zenon_H8e zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L55_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L48_); trivial.
% 1.57/1.72 apply (zenon_L52_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1579_ *)
% 1.57/1.72 assert (zenon_L1580_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H108 zenon_Hac zenon_H80 zenon_Haa zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H4d zenon_H50 zenon_H86 zenon_H88 zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.72 apply (zenon_L185_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L47_); trivial.
% 1.57/1.72 apply (zenon_L1579_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1580_ *)
% 1.57/1.72 assert (zenon_L1581_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H153 zenon_H1e4 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H50 zenon_H4d zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Haa zenon_H80 zenon_Hac zenon_H108.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L1580_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L543_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L55_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L234_); trivial.
% 1.57/1.72 apply (zenon_L175_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1581_ *)
% 1.57/1.72 assert (zenon_L1582_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H4f zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.72 apply (zenon_L46_); trivial.
% 1.57/1.72 apply (zenon_L523_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1582_ *)
% 1.57/1.72 assert (zenon_L1583_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H54 zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L76_); trivial.
% 1.57/1.72 apply (zenon_L1582_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1583_ *)
% 1.57/1.72 assert (zenon_L1584_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.72 apply (zenon_L605_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.72 apply (zenon_L84_); trivial.
% 1.57/1.72 apply (zenon_L86_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1584_ *)
% 1.57/1.72 assert (zenon_L1585_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp15)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H102 zenon_He8 zenon_H5c zenon_H5e zenon_H5d zenon_Hea zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.57/1.72 apply (zenon_L1584_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.57/1.72 apply (zenon_L87_); trivial.
% 1.57/1.72 exact (zenon_H1 zenon_H2).
% 1.57/1.72 (* end of lemma zenon_L1585_ *)
% 1.57/1.72 assert (zenon_L1586_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H1be zenon_H23b zenon_H1ad zenon_H1dd zenon_H1ae zenon_H21d zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hea zenon_He8 zenon_H102 zenon_H5.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.72 apply (zenon_L606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.72 apply (zenon_L1584_); trivial.
% 1.57/1.72 exact (zenon_H1be zenon_H1bf).
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.72 apply (zenon_L1585_); trivial.
% 1.57/1.72 exact (zenon_H5 zenon_H6).
% 1.57/1.72 (* end of lemma zenon_L1586_ *)
% 1.57/1.72 assert (zenon_L1587_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Had zenon_H80 zenon_H1c4 zenon_H5 zenon_Hfd zenon_H1 zenon_H102 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_H1be zenon_H21d zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L80_); trivial.
% 1.57/1.72 apply (zenon_L1586_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1587_ *)
% 1.57/1.72 assert (zenon_L1588_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H80 zenon_H1c4 zenon_H1 zenon_H102 zenon_H71 zenon_H103 zenon_H1be zenon_H21d zenon_H4d zenon_H50 zenon_H88 zenon_H86 zenon_Hd4 zenon_Hd2 zenon_Haa zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L1583_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L543_); trivial.
% 1.57/1.72 apply (zenon_L1587_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1588_ *)
% 1.57/1.72 assert (zenon_L1589_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H40 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L26_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L266_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L116_); trivial.
% 1.57/1.72 apply (zenon_L350_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1589_ *)
% 1.57/1.72 assert (zenon_L1590_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_H32 zenon_H30 zenon_H31 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L605_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L32_); trivial.
% 1.57/1.72 apply (zenon_L52_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1590_ *)
% 1.57/1.72 assert (zenon_L1591_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H81 zenon_H40 zenon_H21d zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Haa zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1be zenon_H1c0 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L14_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.72 apply (zenon_L286_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.72 apply (zenon_L1590_); trivial.
% 1.57/1.72 exact (zenon_H1be zenon_H1bf).
% 1.57/1.72 (* end of lemma zenon_L1591_ *)
% 1.57/1.72 assert (zenon_L1592_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H3b zenon_Haa zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H90 zenon_H8f zenon_H8e zenon_H231 zenon_H1be zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L266_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L48_); trivial.
% 1.57/1.72 apply (zenon_L350_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1592_ *)
% 1.57/1.72 assert (zenon_L1593_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H40 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H231 zenon_H90 zenon_H8f zenon_H8e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L109_); trivial.
% 1.57/1.72 apply (zenon_L1592_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1593_ *)
% 1.57/1.72 assert (zenon_L1594_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H101 zenon_Hac zenon_H80 zenon_H71 zenon_H1dd zenon_H23b zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H112 zenon_H111 zenon_H110 zenon_H12c zenon_H12b zenon_H12a zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H40.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L1593_); trivial.
% 1.57/1.72 apply (zenon_L1579_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1594_ *)
% 1.57/1.72 assert (zenon_L1595_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Hec zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H27 zenon_H2a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1be zenon_H1c0 zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L26_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.72 apply (zenon_L286_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.72 apply (zenon_L393_); trivial.
% 1.57/1.72 apply (zenon_L535_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1595_ *)
% 1.57/1.72 assert (zenon_L1596_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H108 zenon_Hac zenon_H1c4 zenon_H71 zenon_H21d zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H88 zenon_H86 zenon_H231 zenon_Haa zenon_H7 zenon_H1c0 zenon_H1be zenon_H2a zenon_H103 zenon_Hef zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L1583_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.72 apply (zenon_L96_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.72 apply (zenon_L4_); trivial.
% 1.57/1.72 apply (zenon_L1595_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L1593_); trivial.
% 1.57/1.72 apply (zenon_L1587_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1596_ *)
% 1.57/1.72 assert (zenon_L1597_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H3c zenon_H40 zenon_H233 zenon_H71 zenon_H1dd zenon_H23b zenon_H7e zenon_Hc2 zenon_H80 zenon_Hac zenon_H124.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.72 apply (zenon_L623_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L155_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L543_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L80_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L76_); trivial.
% 1.57/1.72 apply (zenon_L622_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1597_ *)
% 1.57/1.72 assert (zenon_L1598_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L93_); trivial.
% 1.57/1.72 apply (zenon_L1555_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1598_ *)
% 1.57/1.72 assert (zenon_L1599_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H65 zenon_H30 zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.57/1.72 apply (zenon_L28_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.57/1.72 apply (zenon_L59_); trivial.
% 1.57/1.72 apply (zenon_L31_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1599_ *)
% 1.57/1.72 assert (zenon_L1600_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L605_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L1599_); trivial.
% 1.57/1.72 apply (zenon_L350_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1600_ *)
% 1.57/1.72 assert (zenon_L1601_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Hbf zenon_H21d zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H32 zenon_H31 zenon_H30 zenon_H231 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.72 apply (zenon_L286_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.72 apply (zenon_L1600_); trivial.
% 1.57/1.72 exact (zenon_H1be zenon_H1bf).
% 1.57/1.72 (* end of lemma zenon_L1601_ *)
% 1.57/1.72 assert (zenon_L1602_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H80 zenon_H1c4 zenon_H1 zenon_H102 zenon_H71 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H103 zenon_H4d zenon_H50 zenon_H88 zenon_H86 zenon_Hd4 zenon_Hd2 zenon_Haa zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L1583_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.72 apply (zenon_L543_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L80_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.57/1.72 apply (zenon_L606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.57/1.72 apply (zenon_L222_); trivial.
% 1.57/1.72 apply (zenon_L86_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.72 apply (zenon_L1585_); trivial.
% 1.57/1.72 exact (zenon_H5 zenon_H6).
% 1.57/1.72 (* end of lemma zenon_L1602_ *)
% 1.57/1.72 assert (zenon_L1603_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H1 zenon_H5 zenon_H7 zenon_H133 zenon_H7e zenon_H71 zenon_H231 zenon_H1ae zenon_H1ad zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H108 zenon_H11e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.72 apply (zenon_L1556_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.72 apply (zenon_L247_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L55_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L27_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L109_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.72 apply (zenon_L46_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.72 apply (zenon_L51_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.72 apply (zenon_L32_); trivial.
% 1.57/1.72 apply (zenon_L361_); trivial.
% 1.57/1.72 apply (zenon_L363_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1603_ *)
% 1.57/1.72 assert (zenon_L1604_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H103 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L1583_); trivial.
% 1.57/1.72 apply (zenon_L322_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1604_ *)
% 1.57/1.72 assert (zenon_L1605_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H235 zenon_H138 zenon_H103 zenon_He6 zenon_He8 zenon_Hea zenon_H1c4 zenon_H22d zenon_H22f zenon_H11e zenon_H1f2 zenon_H54 zenon_H8c zenon_H2e zenon_Hf zenon_H3c zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_H7e zenon_H80 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.72 apply (zenon_L315_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.72 apply (zenon_L1562_); trivial.
% 1.57/1.72 apply (zenon_L348_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1605_ *)
% 1.57/1.72 assert (zenon_L1606_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H231 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.57/1.72 apply (zenon_L84_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.72 apply (zenon_L64_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.72 apply (zenon_L998_); trivial.
% 1.57/1.72 exact (zenon_H55 zenon_H56).
% 1.57/1.72 apply (zenon_L108_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1606_ *)
% 1.57/1.72 assert (zenon_L1607_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H7e zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H44 zenon_H43 zenon_H42 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.72 apply (zenon_L1606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.72 apply (zenon_L15_); trivial.
% 1.57/1.72 exact (zenon_He8 zenon_He9).
% 1.57/1.72 (* end of lemma zenon_L1607_ *)
% 1.57/1.72 assert (zenon_L1608_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H5d zenon_H5e zenon_H5c zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H2f0 zenon_H5.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.72 apply (zenon_L1607_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.72 apply (zenon_L1606_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.72 apply (zenon_L1554_); trivial.
% 1.57/1.72 apply (zenon_L108_); trivial.
% 1.57/1.72 exact (zenon_H5 zenon_H6).
% 1.57/1.72 (* end of lemma zenon_L1608_ *)
% 1.57/1.72 assert (zenon_L1609_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H55 zenon_H7e zenon_H5d zenon_H5e zenon_H5c zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.72 apply (zenon_L372_); trivial.
% 1.57/1.72 apply (zenon_L1608_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1609_ *)
% 1.57/1.72 assert (zenon_L1610_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_He4 zenon_H142 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L702_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.72 apply (zenon_L122_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.72 apply (zenon_L63_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L343_); trivial.
% 1.57/1.72 apply (zenon_L1609_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1610_ *)
% 1.57/1.72 assert (zenon_L1611_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H21d zenon_H1be zenon_H103 zenon_H133 zenon_H59 zenon_H57 zenon_He6 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H231 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H124.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.72 apply (zenon_L1610_); trivial.
% 1.57/1.72 apply (zenon_L309_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1611_ *)
% 1.57/1.72 assert (zenon_L1612_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H138 zenon_H103 zenon_H59 zenon_H57 zenon_He6 zenon_He8 zenon_Hea zenon_H210 zenon_H20f zenon_H1c4 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.72 apply (zenon_L1562_); trivial.
% 1.57/1.72 apply (zenon_L357_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1612_ *)
% 1.57/1.72 assert (zenon_L1613_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.72 apply (zenon_L331_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.72 apply (zenon_L1554_); trivial.
% 1.57/1.72 apply (zenon_L108_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1613_ *)
% 1.57/1.72 assert (zenon_L1614_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.72 apply (zenon_L26_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.72 apply (zenon_L219_); trivial.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.72 apply (zenon_L1613_); trivial.
% 1.57/1.72 exact (zenon_H5 zenon_H6).
% 1.57/1.72 (* end of lemma zenon_L1614_ *)
% 1.57/1.72 assert (zenon_L1615_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.72 apply (zenon_L216_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.72 apply (zenon_L155_); trivial.
% 1.57/1.72 apply (zenon_L1614_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1615_ *)
% 1.57/1.72 assert (zenon_L1616_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.57/1.72 do 0 intro. intros zenon_H18a zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1be zenon_H1c0 zenon_H185 zenon_H86 zenon_Hd4 zenon_H124 zenon_H40 zenon_Hea zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.72 apply (zenon_L336_); trivial.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.72 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.72 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.72 apply (zenon_L333_); trivial.
% 1.57/1.72 apply (zenon_L1615_); trivial.
% 1.57/1.72 (* end of lemma zenon_L1616_ *)
% 1.57/1.72 assert (zenon_L1617_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d4 zenon_H18a zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1c0 zenon_H185 zenon_H86 zenon_Hd4 zenon_H124 zenon_H40 zenon_Hea zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b zenon_H235 zenon_Haa zenon_He4 zenon_H16e zenon_H22d zenon_H22f zenon_H221 zenon_H1 zenon_H7 zenon_H1d9.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.73 apply (zenon_L1616_); trivial.
% 1.57/1.73 apply (zenon_L360_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.73 apply (zenon_L224_); trivial.
% 1.57/1.73 apply (zenon_L360_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1617_ *)
% 1.57/1.73 assert (zenon_L1618_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_Hea zenon_He8 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L26_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.73 apply (zenon_L1613_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.73 apply (zenon_L15_); trivial.
% 1.57/1.73 exact (zenon_He8 zenon_He9).
% 1.57/1.73 (* end of lemma zenon_L1618_ *)
% 1.57/1.73 assert (zenon_L1619_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hc2 zenon_H138.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_L818_); trivial.
% 1.57/1.73 apply (zenon_L153_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1619_ *)
% 1.57/1.73 assert (zenon_L1620_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L475_); trivial.
% 1.57/1.73 apply (zenon_L445_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1620_ *)
% 1.57/1.73 assert (zenon_L1621_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H138 zenon_H102 zenon_H1 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H147 zenon_H148 zenon_H161 zenon_H1d6 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_L1620_); trivial.
% 1.57/1.73 apply (zenon_L226_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1621_ *)
% 1.57/1.73 assert (zenon_L1622_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_Haa zenon_He4 zenon_H16e zenon_H86 zenon_H185 zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H2e zenon_H1bc zenon_Hf zenon_H1d6 zenon_H102 zenon_H18b zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.73 apply (zenon_L224_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_L818_); trivial.
% 1.57/1.73 apply (zenon_L1621_); trivial.
% 1.57/1.73 apply (zenon_L156_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1622_ *)
% 1.57/1.73 assert (zenon_L1623_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H7e zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac zenon_H138 zenon_H235.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.73 apply (zenon_L315_); trivial.
% 1.57/1.73 apply (zenon_L615_); trivial.
% 1.57/1.73 apply (zenon_L153_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1623_ *)
% 1.57/1.73 assert (zenon_L1624_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_Had zenon_H80 zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H7e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L55_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L27_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L343_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.73 apply (zenon_L621_); trivial.
% 1.57/1.73 apply (zenon_L1608_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1624_ *)
% 1.57/1.73 assert (zenon_L1625_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hac zenon_H1c4 zenon_H5 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1dd zenon_H23b zenon_H59 zenon_H57 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H103 zenon_H138.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_L392_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L27_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L343_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.73 apply (zenon_L383_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.73 apply (zenon_L1613_); trivial.
% 1.57/1.73 exact (zenon_H5 zenon_H6).
% 1.57/1.73 apply (zenon_L391_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1625_ *)
% 1.57/1.73 assert (zenon_L1626_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.73 apply (zenon_L544_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.73 apply (zenon_L117_); trivial.
% 1.57/1.73 exact (zenon_H55 zenon_H56).
% 1.57/1.73 (* end of lemma zenon_L1626_ *)
% 1.57/1.73 assert (zenon_L1627_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L331_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L1626_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1627_ *)
% 1.57/1.73 assert (zenon_L1628_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H23b zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H2f0 zenon_H5.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.73 apply (zenon_L383_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.73 apply (zenon_L1627_); trivial.
% 1.57/1.73 exact (zenon_H5 zenon_H6).
% 1.57/1.73 (* end of lemma zenon_L1628_ *)
% 1.57/1.73 assert (zenon_L1629_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H40 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L26_); trivial.
% 1.57/1.73 apply (zenon_L1628_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1629_ *)
% 1.57/1.73 assert (zenon_L1630_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H7e zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H57 zenon_H59 zenon_H23b zenon_H1dd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5 zenon_H1c4 zenon_Hac zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_L1625_); trivial.
% 1.57/1.73 apply (zenon_L1629_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1630_ *)
% 1.57/1.73 assert (zenon_L1631_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_L1082_); trivial.
% 1.57/1.73 apply (zenon_L153_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1631_ *)
% 1.57/1.73 assert (zenon_L1632_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_He4 zenon_H16e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138 zenon_H27f zenon_H88 zenon_H20f zenon_H210 zenon_H71 zenon_Hac zenon_H1d9.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.73 apply (zenon_L556_); trivial.
% 1.57/1.73 apply (zenon_L627_); trivial.
% 1.57/1.73 apply (zenon_L656_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1632_ *)
% 1.57/1.73 assert (zenon_L1633_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H20c zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H16e zenon_He4.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L396_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L1357_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1633_ *)
% 1.57/1.73 assert (zenon_L1634_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L421_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L108_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1634_ *)
% 1.57/1.73 assert (zenon_L1635_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L122_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1635_ *)
% 1.57/1.73 assert (zenon_L1636_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H231 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.57/1.73 apply (zenon_L84_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L141_); trivial.
% 1.57/1.73 apply (zenon_L108_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1636_ *)
% 1.57/1.73 assert (zenon_L1637_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H2f0 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H5c zenon_H5e zenon_H5d zenon_H231 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L1636_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L108_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1637_ *)
% 1.57/1.73 assert (zenon_L1638_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_He8 zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H5.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.73 apply (zenon_L1637_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.73 apply (zenon_L85_); trivial.
% 1.57/1.73 exact (zenon_He8 zenon_He9).
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.73 apply (zenon_L1637_); trivial.
% 1.57/1.73 exact (zenon_H5 zenon_H6).
% 1.57/1.73 (* end of lemma zenon_L1638_ *)
% 1.57/1.73 assert (zenon_L1639_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_H1c4 zenon_H5 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_He8 zenon_Hea zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L122_); trivial.
% 1.57/1.73 apply (zenon_L1638_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1639_ *)
% 1.57/1.73 assert (zenon_L1640_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H264 zenon_H86 zenon_H185 zenon_H138 zenon_H165 zenon_H103 zenon_Hea zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H231 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_L419_); trivial.
% 1.57/1.73 apply (zenon_L459_); trivial.
% 1.57/1.73 apply (zenon_L1639_); trivial.
% 1.57/1.73 apply (zenon_L449_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1640_ *)
% 1.57/1.73 assert (zenon_L1641_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_H125.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L421_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.73 apply (zenon_L421_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.73 apply (zenon_L461_); trivial.
% 1.57/1.73 exact (zenon_H125 zenon_H126).
% 1.57/1.73 (* end of lemma zenon_L1641_ *)
% 1.57/1.73 assert (zenon_L1642_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.73 apply (zenon_L451_); trivial.
% 1.57/1.73 apply (zenon_L1641_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1642_ *)
% 1.57/1.73 assert (zenon_L1643_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H11e zenon_H133 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.73 apply (zenon_L1598_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L480_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1643_ *)
% 1.57/1.73 assert (zenon_L1644_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H54 zenon_H10b zenon_H10d zenon_H80 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H50 zenon_H4d zenon_H153 zenon_H155 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L586_); trivial.
% 1.57/1.73 apply (zenon_L479_); trivial.
% 1.57/1.73 apply (zenon_L1642_); trivial.
% 1.57/1.73 apply (zenon_L215_); trivial.
% 1.57/1.73 apply (zenon_L1643_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1644_ *)
% 1.57/1.73 assert (zenon_L1645_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H133 zenon_H10b zenon_H10d zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2e zenon_H1bc zenon_H8c zenon_H86 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_He6 zenon_He4 zenon_Hea zenon_H138.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_L470_); trivial.
% 1.57/1.73 apply (zenon_L1644_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1645_ *)
% 1.57/1.73 assert (zenon_L1646_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H2e zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H55 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.73 apply (zenon_L46_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L201_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L108_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1646_ *)
% 1.57/1.73 assert (zenon_L1647_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H11d zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L27_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L904_); trivial.
% 1.57/1.73 apply (zenon_L1570_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1647_ *)
% 1.57/1.73 assert (zenon_L1648_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L394_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.73 apply (zenon_L1554_); trivial.
% 1.57/1.73 apply (zenon_L108_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1648_ *)
% 1.57/1.73 assert (zenon_L1649_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_Hec zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.73 apply (zenon_L109_); trivial.
% 1.57/1.73 apply (zenon_L1648_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1649_ *)
% 1.57/1.73 assert (zenon_L1650_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_Hef zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.73 apply (zenon_L452_); trivial.
% 1.57/1.73 apply (zenon_L1649_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1650_ *)
% 1.57/1.73 assert (zenon_L1651_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H124 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.73 apply (zenon_L155_); trivial.
% 1.57/1.73 apply (zenon_L1647_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1651_ *)
% 1.57/1.73 assert (zenon_L1652_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H153 zenon_H155 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_L1198_); trivial.
% 1.57/1.73 apply (zenon_L1635_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1652_ *)
% 1.57/1.73 assert (zenon_L1653_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_H103 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_He6 zenon_H5 zenon_H1c4 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_L428_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.73 apply (zenon_L418_); trivial.
% 1.57/1.73 apply (zenon_L260_); trivial.
% 1.57/1.73 apply (zenon_L1635_); trivial.
% 1.57/1.73 apply (zenon_L1652_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1653_ *)
% 1.57/1.73 assert (zenon_L1654_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_L216_); trivial.
% 1.57/1.73 apply (zenon_L1643_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1654_ *)
% 1.57/1.73 assert (zenon_L1655_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H71 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H125 zenon_H127 zenon_Hb4 zenon_H210 zenon_H20f zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He8 zenon_Hea zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L122_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L422_); trivial.
% 1.57/1.73 apply (zenon_L1002_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1655_ *)
% 1.57/1.73 assert (zenon_L1656_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L55_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1656_ *)
% 1.57/1.73 assert (zenon_L1657_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H12 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L1205_); trivial.
% 1.57/1.73 apply (zenon_L22_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1657_ *)
% 1.57/1.73 assert (zenon_L1658_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H12 zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L1207_); trivial.
% 1.57/1.73 apply (zenon_L22_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1658_ *)
% 1.57/1.73 assert (zenon_L1659_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H135 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H54 zenon_H50 zenon_H4d zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L1657_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L1658_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1659_ *)
% 1.57/1.73 assert (zenon_L1660_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1ca zenon_He6 zenon_He4 zenon_H155 zenon_H153 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_Hac zenon_H80 zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H103 zenon_H138.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.73 apply (zenon_L608_); trivial.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_L1656_); trivial.
% 1.57/1.73 apply (zenon_L1659_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1660_ *)
% 1.57/1.73 assert (zenon_L1661_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.73 apply (zenon_L475_); trivial.
% 1.57/1.73 apply (zenon_L1184_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1661_ *)
% 1.57/1.73 assert (zenon_L1662_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H8c zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H80.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L476_); trivial.
% 1.57/1.73 apply (zenon_L1661_); trivial.
% 1.57/1.73 apply (zenon_L215_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1662_ *)
% 1.57/1.73 assert (zenon_L1663_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.73 apply (zenon_L476_); trivial.
% 1.57/1.73 apply (zenon_L1634_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1663_ *)
% 1.57/1.73 assert (zenon_L1664_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.73 apply (zenon_L1663_); trivial.
% 1.57/1.73 apply (zenon_L1659_); trivial.
% 1.57/1.73 (* end of lemma zenon_L1664_ *)
% 1.57/1.73 assert (zenon_L1665_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp7)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H1e zenon_H20 zenon_H1f zenon_H12 zenon_H129 zenon_H125.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.73 apply (zenon_L396_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.73 apply (zenon_L461_); trivial.
% 1.57/1.73 exact (zenon_H125 zenon_H126).
% 1.57/1.73 (* end of lemma zenon_L1665_ *)
% 1.57/1.73 assert (zenon_L1666_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp7)) -> False).
% 1.57/1.73 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H125.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.73 apply (zenon_L396_); trivial.
% 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1665_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1666_ *)
% 1.57/1.74 assert (zenon_L1667_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H40 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L8_); trivial.
% 1.57/1.74 apply (zenon_L1666_); trivial.
% 1.57/1.74 apply (zenon_L638_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1667_ *)
% 1.57/1.74 assert (zenon_L1668_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1ca zenon_H264 zenon_H153 zenon_H155 zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H21d zenon_H1be zenon_He6 zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1667_); trivial.
% 1.57/1.74 apply (zenon_L635_); trivial.
% 1.57/1.74 apply (zenon_L1635_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1668_ *)
% 1.57/1.74 assert (zenon_L1669_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L451_); trivial.
% 1.57/1.74 apply (zenon_L1666_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1669_ *)
% 1.57/1.74 assert (zenon_L1670_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H80 zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H246 zenon_H244 zenon_H245 zenon_H15a zenon_H159 zenon_H158 zenon_H16e zenon_Haa zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L122_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_L58_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.74 apply (zenon_L161_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.74 apply (zenon_L66_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.74 apply (zenon_L1039_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.74 apply (zenon_L66_); trivial.
% 1.57/1.74 apply (zenon_L148_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1670_ *)
% 1.57/1.74 assert (zenon_L1671_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L108_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1671_ *)
% 1.57/1.74 assert (zenon_L1672_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_Haa zenon_H16e zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H80 zenon_H124.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L1669_); trivial.
% 1.57/1.74 apply (zenon_L1670_); trivial.
% 1.57/1.74 apply (zenon_L1671_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1672_ *)
% 1.57/1.74 assert (zenon_L1673_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1d9 zenon_He4 zenon_H16e zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1e4 zenon_H1e2 zenon_H124 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.57/1.74 apply (zenon_L644_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L1669_); trivial.
% 1.57/1.74 apply (zenon_L235_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L1669_); trivial.
% 1.57/1.74 apply (zenon_L504_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1673_ *)
% 1.57/1.74 assert (zenon_L1674_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp15)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_He8.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.74 apply (zenon_L371_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.74 apply (zenon_L461_); trivial.
% 1.57/1.74 exact (zenon_He8 zenon_He9).
% 1.57/1.74 (* end of lemma zenon_L1674_ *)
% 1.57/1.74 assert (zenon_L1675_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp15)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H1e zenon_H20 zenon_H1f zenon_H12 zenon_H129 zenon_He8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.74 apply (zenon_L988_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.74 apply (zenon_L461_); trivial.
% 1.57/1.74 exact (zenon_He8 zenon_He9).
% 1.57/1.74 (* end of lemma zenon_L1675_ *)
% 1.57/1.74 assert (zenon_L1676_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_He8.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1675_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1676_ *)
% 1.57/1.74 assert (zenon_L1677_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H2f0 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L416_); trivial.
% 1.57/1.74 apply (zenon_L1676_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1677_ *)
% 1.57/1.74 assert (zenon_L1678_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L416_); trivial.
% 1.57/1.74 apply (zenon_L1674_); trivial.
% 1.57/1.74 apply (zenon_L1677_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1678_ *)
% 1.57/1.74 assert (zenon_L1679_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1ca zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H142 zenon_He4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_Haa zenon_H16e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1e2 zenon_H80 zenon_H124.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L1678_); trivial.
% 1.57/1.74 apply (zenon_L1670_); trivial.
% 1.57/1.74 apply (zenon_L1671_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1679_ *)
% 1.57/1.74 assert (zenon_L1680_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L1669_); trivial.
% 1.57/1.74 apply (zenon_L215_); trivial.
% 1.57/1.74 apply (zenon_L1671_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1680_ *)
% 1.57/1.74 assert (zenon_L1681_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_L216_); trivial.
% 1.57/1.74 apply (zenon_L1671_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1681_ *)
% 1.57/1.74 assert (zenon_L1682_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H187 zenon_H18b zenon_H185 zenon_H86 zenon_H7e zenon_H124 zenon_H80 zenon_H1e2 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H16e zenon_Haa zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_He4 zenon_H142 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H1ca.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_L1679_); trivial.
% 1.57/1.74 apply (zenon_L1681_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1682_ *)
% 1.57/1.74 assert (zenon_L1683_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1368_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1683_ *)
% 1.57/1.74 assert (zenon_L1684_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_L58_); trivial.
% 1.57/1.74 apply (zenon_L1683_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1684_ *)
% 1.57/1.74 assert (zenon_L1685_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H80 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L122_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.74 apply (zenon_L63_); trivial.
% 1.57/1.74 apply (zenon_L1684_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1685_ *)
% 1.57/1.74 assert (zenon_L1686_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_H2f0 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H245 zenon_Hb4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H246 zenon_H244 zenon_He6 zenon_H1be zenon_H21d zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L122_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_L58_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.74 apply (zenon_L858_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.74 apply (zenon_L74_); trivial.
% 1.57/1.74 exact (zenon_H1be zenon_H1bf).
% 1.57/1.74 apply (zenon_L1684_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1686_ *)
% 1.57/1.74 assert (zenon_L1687_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H138 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H54 zenon_H80.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1685_); trivial.
% 1.57/1.74 apply (zenon_L1686_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1687_ *)
% 1.57/1.74 assert (zenon_L1688_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H2f0 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb zenon_Hd zenon_Hf.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L8_); trivial.
% 1.57/1.74 apply (zenon_L1676_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1688_ *)
% 1.57/1.74 assert (zenon_L1689_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_Hc2 zenon_H71 zenon_Hf zenon_Hd zenon_Hb zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.74 apply (zenon_L8_); trivial.
% 1.57/1.74 apply (zenon_L1674_); trivial.
% 1.57/1.74 apply (zenon_L1688_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1689_ *)
% 1.57/1.74 assert (zenon_L1690_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H71 zenon_Hc2.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.74 apply (zenon_L1689_); trivial.
% 1.57/1.74 apply (zenon_L17_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1690_ *)
% 1.57/1.74 assert (zenon_L1691_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hc2 zenon_H71 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H3c zenon_H40.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.74 apply (zenon_L1690_); trivial.
% 1.57/1.74 apply (zenon_L559_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1691_ *)
% 1.57/1.74 assert (zenon_L1692_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_Hc2 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1691_); trivial.
% 1.57/1.74 apply (zenon_L377_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1692_ *)
% 1.57/1.74 assert (zenon_L1693_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1626_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1693_ *)
% 1.57/1.74 assert (zenon_L1694_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H18b zenon_H7e zenon_H54 zenon_H165 zenon_Hc2 zenon_H71 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H138.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_L1692_); trivial.
% 1.57/1.74 apply (zenon_L1693_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1694_ *)
% 1.57/1.74 assert (zenon_L1695_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H245 zenon_H244 zenon_H246 zenon_H165 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.74 apply (zenon_L161_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.74 apply (zenon_L544_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.57/1.74 apply (zenon_L1039_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.57/1.74 apply (zenon_L544_); trivial.
% 1.57/1.74 apply (zenon_L148_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1695_ *)
% 1.57/1.74 assert (zenon_L1696_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H80 zenon_Hc2 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Haa zenon_H16e zenon_H165 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L122_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.74 apply (zenon_L58_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1695_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1696_ *)
% 1.57/1.74 assert (zenon_L1697_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H18b zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_L1082_); trivial.
% 1.57/1.74 apply (zenon_L1693_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1697_ *)
% 1.57/1.74 assert (zenon_L1698_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18b zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.74 apply (zenon_L493_); trivial.
% 1.57/1.74 apply (zenon_L1697_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1698_ *)
% 1.57/1.74 assert (zenon_L1699_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.74 apply (zenon_L161_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.74 apply (zenon_L544_); trivial.
% 1.57/1.74 apply (zenon_L229_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1699_ *)
% 1.57/1.74 assert (zenon_L1700_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1e6 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L396_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1699_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1700_ *)
% 1.57/1.74 assert (zenon_L1701_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L663_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L108_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1701_ *)
% 1.57/1.74 assert (zenon_L1702_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.74 apply (zenon_L1556_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L55_); trivial.
% 1.57/1.74 apply (zenon_L1701_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1702_ *)
% 1.57/1.74 assert (zenon_L1703_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L318_); trivial.
% 1.57/1.74 apply (zenon_L1702_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1703_ *)
% 1.57/1.74 assert (zenon_L1704_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H103 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H54.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L687_); trivial.
% 1.57/1.74 apply (zenon_L1702_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1704_ *)
% 1.57/1.74 assert (zenon_L1705_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H236 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H10b zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1703_); trivial.
% 1.57/1.74 apply (zenon_L692_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1705_ *)
% 1.57/1.74 assert (zenon_L1706_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L155_); trivial.
% 1.57/1.74 apply (zenon_L1702_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1706_ *)
% 1.57/1.74 assert (zenon_L1707_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H187 zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H2a zenon_Hef zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_L701_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1706_); trivial.
% 1.57/1.74 apply (zenon_L700_); trivial.
% 1.57/1.74 apply (zenon_L153_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1707_ *)
% 1.57/1.74 assert (zenon_L1708_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H1c4 zenon_H155 zenon_H18a zenon_H133 zenon_H2e zenon_H8c zenon_H86 zenon_H185 zenon_H235 zenon_H138 zenon_H21d zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H221 zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_Hef zenon_Hea zenon_H20b.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_L673_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.74 apply (zenon_L659_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1703_); trivial.
% 1.57/1.74 apply (zenon_L671_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_L684_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_L1704_); trivial.
% 1.57/1.74 apply (zenon_L688_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.74 apply (zenon_L694_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.74 apply (zenon_L659_); trivial.
% 1.57/1.74 apply (zenon_L1705_); trivial.
% 1.57/1.74 apply (zenon_L153_); trivial.
% 1.57/1.74 apply (zenon_L1707_); trivial.
% 1.57/1.74 apply (zenon_L717_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1708_ *)
% 1.57/1.74 assert (zenon_L1709_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.74 apply (zenon_L544_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.74 apply (zenon_L674_); trivial.
% 1.57/1.74 exact (zenon_H55 zenon_H56).
% 1.57/1.74 (* end of lemma zenon_L1709_ *)
% 1.57/1.74 assert (zenon_L1710_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H103 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.74 apply (zenon_L282_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L55_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.74 apply (zenon_L731_); trivial.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.74 apply (zenon_L663_); trivial.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.74 apply (zenon_L1554_); trivial.
% 1.57/1.74 apply (zenon_L1709_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1710_ *)
% 1.57/1.74 assert (zenon_L1711_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H1c4 zenon_H155 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_Hef zenon_H124 zenon_H11e zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H103 zenon_Hf zenon_H50 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H54 zenon_H21d zenon_Hea zenon_H1 zenon_H102 zenon_H138 zenon_H20b.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.74 apply (zenon_L687_); trivial.
% 1.57/1.74 apply (zenon_L1710_); trivial.
% 1.57/1.74 apply (zenon_L749_); trivial.
% 1.57/1.74 apply (zenon_L153_); trivial.
% 1.57/1.74 apply (zenon_L751_); trivial.
% 1.57/1.74 apply (zenon_L754_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1711_ *)
% 1.57/1.74 assert (zenon_L1712_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.74 apply (zenon_L476_); trivial.
% 1.57/1.74 apply (zenon_L1555_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1712_ *)
% 1.57/1.74 assert (zenon_L1713_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.74 apply (zenon_L1712_); trivial.
% 1.57/1.74 apply (zenon_L255_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1713_ *)
% 1.57/1.74 assert (zenon_L1714_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.74 apply (zenon_L1712_); trivial.
% 1.57/1.74 apply (zenon_L809_); trivial.
% 1.57/1.74 (* end of lemma zenon_L1714_ *)
% 1.57/1.74 assert (zenon_L1715_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H80 zenon_H102 zenon_H1 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L256_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_L96_); trivial.
% 1.57/1.75 apply (zenon_L809_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1715_ *)
% 1.57/1.75 assert (zenon_L1716_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H1 zenon_H10b zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L1713_); trivial.
% 1.57/1.75 apply (zenon_L1714_); trivial.
% 1.57/1.75 apply (zenon_L1715_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1716_ *)
% 1.57/1.75 assert (zenon_L1717_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L155_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_L96_); trivial.
% 1.57/1.75 apply (zenon_L806_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1717_ *)
% 1.57/1.75 assert (zenon_L1718_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H155 zenon_H1c2 zenon_H1c4 zenon_H18a zenon_H185 zenon_H86 zenon_H133 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H3c zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd4 zenon_H80 zenon_H22d zenon_H22f zenon_H102 zenon_Hea zenon_H21d zenon_H138 zenon_H235 zenon_H18b zenon_H20b.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_L782_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.75 apply (zenon_L315_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L1703_); trivial.
% 1.57/1.75 apply (zenon_L781_); trivial.
% 1.57/1.75 apply (zenon_L153_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_L783_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L1706_); trivial.
% 1.57/1.75 apply (zenon_L1717_); trivial.
% 1.57/1.75 apply (zenon_L153_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_L784_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.57/1.75 apply (zenon_L315_); trivial.
% 1.57/1.75 apply (zenon_L1705_); trivial.
% 1.57/1.75 apply (zenon_L153_); trivial.
% 1.57/1.75 apply (zenon_L1707_); trivial.
% 1.57/1.75 apply (zenon_L787_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1718_ *)
% 1.57/1.75 assert (zenon_L1719_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H210 zenon_H20f zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H5.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.75 apply (zenon_L1607_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L1606_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_L1368_); trivial.
% 1.57/1.75 exact (zenon_H5 zenon_H6).
% 1.57/1.75 (* end of lemma zenon_L1719_ *)
% 1.57/1.75 assert (zenon_L1720_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_L63_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.75 apply (zenon_L758_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.75 apply (zenon_L58_); trivial.
% 1.57/1.75 apply (zenon_L1719_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1720_ *)
% 1.57/1.75 assert (zenon_L1721_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1ca zenon_H133 zenon_H231 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H124 zenon_H7e zenon_Hd4 zenon_H55 zenon_H57 zenon_H59 zenon_Hac zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e zenon_Hea zenon_He8 zenon_H138.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_L801_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L799_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.75 apply (zenon_L55_); trivial.
% 1.57/1.75 apply (zenon_L1720_); trivial.
% 1.57/1.75 apply (zenon_L377_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1721_ *)
% 1.57/1.75 assert (zenon_L1722_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_L833_); trivial.
% 1.57/1.75 apply (zenon_L809_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1722_ *)
% 1.57/1.75 assert (zenon_L1723_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L834_); trivial.
% 1.57/1.75 apply (zenon_L1722_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1723_ *)
% 1.57/1.75 assert (zenon_L1724_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_Hac zenon_Hd zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L799_); trivial.
% 1.57/1.75 apply (zenon_L1714_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1724_ *)
% 1.57/1.75 assert (zenon_L1725_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.75 apply (zenon_L758_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.75 apply (zenon_L705_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L331_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_L1709_); trivial.
% 1.57/1.75 exact (zenon_H5 zenon_H6).
% 1.57/1.75 (* end of lemma zenon_L1725_ *)
% 1.57/1.75 assert (zenon_L1726_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H138 zenon_Hc2 zenon_H103 zenon_Hb4 zenon_Hb2 zenon_He8 zenon_Hea zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_L27_); trivial.
% 1.57/1.75 apply (zenon_L1725_); trivial.
% 1.57/1.75 apply (zenon_L377_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1726_ *)
% 1.57/1.75 assert (zenon_L1727_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_Had zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_L796_); trivial.
% 1.57/1.75 apply (zenon_L1725_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1727_ *)
% 1.57/1.75 assert (zenon_L1728_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1c2 zenon_H5 zenon_H55 zenon_H7e zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hac.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_L790_); trivial.
% 1.57/1.75 apply (zenon_L1725_); trivial.
% 1.57/1.75 apply (zenon_L1727_); trivial.
% 1.57/1.75 apply (zenon_L255_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1728_ *)
% 1.57/1.75 assert (zenon_L1729_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H2f0 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L823_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_L108_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1729_ *)
% 1.57/1.75 assert (zenon_L1730_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H1a4 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1c2 zenon_H5 zenon_H55 zenon_H7e zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hac zenon_Hd4 zenon_H124.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L1728_); trivial.
% 1.57/1.75 apply (zenon_L215_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L1728_); trivial.
% 1.57/1.75 apply (zenon_L1729_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1730_ *)
% 1.57/1.75 assert (zenon_L1731_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_L1712_); trivial.
% 1.57/1.75 apply (zenon_L766_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1731_ *)
% 1.57/1.75 assert (zenon_L1732_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_Hac.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.57/1.75 apply (zenon_L803_); trivial.
% 1.57/1.75 apply (zenon_L1727_); trivial.
% 1.57/1.75 apply (zenon_L766_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1732_ *)
% 1.57/1.75 assert (zenon_L1733_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_L600_); trivial.
% 1.57/1.75 apply (zenon_L1725_); trivial.
% 1.57/1.75 apply (zenon_L766_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1733_ *)
% 1.57/1.75 assert (zenon_L1734_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_Hc2 zenon_Hb4 zenon_He8 zenon_Hea zenon_Hac zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H7e zenon_H55 zenon_H5 zenon_H1c2 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L1728_); trivial.
% 1.57/1.75 apply (zenon_L1733_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1734_ *)
% 1.57/1.75 assert (zenon_L1735_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H187 zenon_H18b zenon_H7e zenon_H55 zenon_H88 zenon_H1c4 zenon_Hac zenon_H124 zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H86 zenon_H185 zenon_Hea zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_H103 zenon_Hc2 zenon_H138.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L978_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L155_); trivial.
% 1.57/1.75 apply (zenon_L1022_); trivial.
% 1.57/1.75 apply (zenon_L828_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1735_ *)
% 1.57/1.75 assert (zenon_L1736_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L1667_); trivial.
% 1.57/1.75 apply (zenon_L408_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1736_ *)
% 1.57/1.75 assert (zenon_L1737_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H2f2 zenon_H209 zenon_H207 zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H2f0 zenon_H2e zenon_H1 zenon_H102 zenon_H138.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.57/1.75 apply (zenon_L1736_); trivial.
% 1.57/1.75 apply (zenon_L646_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1737_ *)
% 1.57/1.75 assert (zenon_L1738_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_Hb zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H55.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.75 apply (zenon_L822_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.75 apply (zenon_L527_); trivial.
% 1.57/1.75 exact (zenon_H55 zenon_H56).
% 1.57/1.75 (* end of lemma zenon_L1738_ *)
% 1.57/1.75 assert (zenon_L1739_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp28)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_Hb zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L1738_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_L108_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1739_ *)
% 1.57/1.75 assert (zenon_L1740_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_Hd zenon_H3c zenon_H40.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.75 apply (zenon_L1739_); trivial.
% 1.57/1.75 apply (zenon_L17_); trivial.
% 1.57/1.75 apply (zenon_L707_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1740_ *)
% 1.57/1.75 assert (zenon_L1741_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H124 zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L155_); trivial.
% 1.57/1.75 apply (zenon_L1740_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1741_ *)
% 1.57/1.75 assert (zenon_L1742_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H231 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H1ca.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.75 apply (zenon_L868_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L1741_); trivial.
% 1.57/1.75 apply (zenon_L891_); trivial.
% 1.57/1.75 apply (zenon_L878_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1742_ *)
% 1.57/1.75 assert (zenon_L1743_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1ac zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H133 zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1d6 zenon_H1ca zenon_H11e zenon_H27f zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H18b zenon_H18a zenon_H1d9.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.75 apply (zenon_L879_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.75 apply (zenon_L865_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.75 apply (zenon_L867_); trivial.
% 1.57/1.75 apply (zenon_L1742_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1743_ *)
% 1.57/1.75 assert (zenon_L1744_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.75 apply (zenon_L896_); trivial.
% 1.57/1.75 apply (zenon_L1634_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1744_ *)
% 1.57/1.75 assert (zenon_L1745_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H7e zenon_H55 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.75 apply (zenon_L905_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L897_); trivial.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.75 apply (zenon_L1744_); trivial.
% 1.57/1.75 apply (zenon_L900_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1745_ *)
% 1.57/1.75 assert (zenon_L1746_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_Hb zenon_H133 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.75 apply (zenon_L451_); trivial.
% 1.57/1.75 apply (zenon_L903_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1746_ *)
% 1.57/1.75 assert (zenon_L1747_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.75 apply (zenon_L1746_); trivial.
% 1.57/1.75 apply (zenon_L866_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1747_ *)
% 1.57/1.75 assert (zenon_L1748_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L705_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_L108_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1748_ *)
% 1.57/1.75 assert (zenon_L1749_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.75 apply (zenon_L1739_); trivial.
% 1.57/1.75 apply (zenon_L1748_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1749_ *)
% 1.57/1.75 assert (zenon_L1750_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.75 apply (zenon_L1747_); trivial.
% 1.57/1.75 apply (zenon_L1749_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1750_ *)
% 1.57/1.75 assert (zenon_L1751_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H31 zenon_H30 zenon_H5 zenon_H155 zenon_H125.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.75 apply (zenon_L705_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.75 apply (zenon_L1554_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.57/1.75 apply (zenon_L705_); trivial.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.57/1.75 apply (zenon_L461_); trivial.
% 1.57/1.75 exact (zenon_H125 zenon_H126).
% 1.57/1.75 (* end of lemma zenon_L1751_ *)
% 1.57/1.75 assert (zenon_L1752_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.57/1.75 do 0 intro. intros zenon_H3b zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.57/1.75 apply (zenon_L46_); trivial.
% 1.57/1.75 apply (zenon_L1751_); trivial.
% 1.57/1.75 (* end of lemma zenon_L1752_ *)
% 1.57/1.75 assert (zenon_L1753_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L520_); trivial.
% 1.57/1.76 apply (zenon_L1752_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1753_ *)
% 1.57/1.76 assert (zenon_L1754_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.76 apply (zenon_L216_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L155_); trivial.
% 1.57/1.76 apply (zenon_L1729_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1754_ *)
% 1.57/1.76 assert (zenon_L1755_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L971_); trivial.
% 1.57/1.76 apply (zenon_L1740_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1755_ *)
% 1.57/1.76 assert (zenon_L1756_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1d6 zenon_H161 zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L1739_); trivial.
% 1.57/1.76 apply (zenon_L866_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1756_ *)
% 1.57/1.76 assert (zenon_L1757_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hc2 zenon_H125 zenon_H127 zenon_Hea zenon_He8 zenon_H233 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H3c zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.76 apply (zenon_L1741_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L155_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L1739_); trivial.
% 1.57/1.76 apply (zenon_L890_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1757_ *)
% 1.57/1.76 assert (zenon_L1758_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1a2 zenon_H11e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_L590_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.76 apply (zenon_L587_); trivial.
% 1.57/1.76 apply (zenon_L719_); trivial.
% 1.57/1.76 apply (zenon_L215_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1758_ *)
% 1.57/1.76 assert (zenon_L1759_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L91_); trivial.
% 1.57/1.76 apply (zenon_L866_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1759_ *)
% 1.57/1.76 assert (zenon_L1760_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_L1759_); trivial.
% 1.57/1.76 apply (zenon_L22_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1760_ *)
% 1.57/1.76 assert (zenon_L1761_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.76 apply (zenon_L1760_); trivial.
% 1.57/1.76 apply (zenon_L1555_); trivial.
% 1.57/1.76 apply (zenon_L846_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1761_ *)
% 1.57/1.76 assert (zenon_L1762_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L1747_); trivial.
% 1.57/1.76 apply (zenon_L1761_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1762_ *)
% 1.57/1.76 assert (zenon_L1763_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H133 zenon_H1d6 zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hef zenon_H54 zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_Hd4 zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.76 apply (zenon_L1758_); trivial.
% 1.57/1.76 apply (zenon_L1762_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1763_ *)
% 1.57/1.76 assert (zenon_L1764_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_L727_); trivial.
% 1.57/1.76 apply (zenon_L660_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1764_ *)
% 1.57/1.76 assert (zenon_L1765_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.76 apply (zenon_L1760_); trivial.
% 1.57/1.76 apply (zenon_L1764_); trivial.
% 1.57/1.76 apply (zenon_L846_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1765_ *)
% 1.57/1.76 assert (zenon_L1766_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L907_); trivial.
% 1.57/1.76 apply (zenon_L1765_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1766_ *)
% 1.57/1.76 assert (zenon_L1767_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.76 apply (zenon_L161_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.76 apply (zenon_L325_); trivial.
% 1.57/1.76 apply (zenon_L229_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1767_ *)
% 1.57/1.76 assert (zenon_L1768_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H50 zenon_H4b zenon_H4d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.76 apply (zenon_L161_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.76 apply (zenon_L66_); trivial.
% 1.57/1.76 apply (zenon_L1033_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1768_ *)
% 1.57/1.76 assert (zenon_L1769_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_Hc2 zenon_H4b zenon_H4d zenon_H50 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.76 apply (zenon_L1767_); trivial.
% 1.57/1.76 apply (zenon_L1768_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1769_ *)
% 1.57/1.76 assert (zenon_L1770_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_Hc2 zenon_H4d zenon_H50 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H71 zenon_H10b zenon_H10d zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L155_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.76 apply (zenon_L1769_); trivial.
% 1.57/1.76 apply (zenon_L1764_); trivial.
% 1.57/1.76 apply (zenon_L846_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1770_ *)
% 1.57/1.76 assert (zenon_L1771_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.57/1.76 apply (zenon_L442_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.57/1.76 apply (zenon_L64_); trivial.
% 1.57/1.76 apply (zenon_L108_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1771_ *)
% 1.57/1.76 assert (zenon_L1772_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H27f zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H30 zenon_H31 zenon_H32 zenon_H231 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H4d.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.57/1.76 apply (zenon_L136_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.57/1.76 apply (zenon_L869_); trivial.
% 1.57/1.76 apply (zenon_L1771_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.57/1.76 apply (zenon_L136_); trivial.
% 1.57/1.76 exact (zenon_H4d zenon_H4e).
% 1.57/1.76 (* end of lemma zenon_L1772_ *)
% 1.57/1.76 assert (zenon_L1773_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H4d zenon_H27f zenon_H192 zenon_H191 zenon_H190 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L91_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.57/1.76 apply (zenon_L161_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.57/1.76 apply (zenon_L1772_); trivial.
% 1.57/1.76 apply (zenon_L229_); trivial.
% 1.57/1.76 apply (zenon_L707_); trivial.
% 1.57/1.76 apply (zenon_L846_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1773_ *)
% 1.57/1.76 assert (zenon_L1774_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H2f0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.76 apply (zenon_L950_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.76 apply (zenon_L1554_); trivial.
% 1.57/1.76 apply (zenon_L108_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1774_ *)
% 1.57/1.76 assert (zenon_L1775_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L1747_); trivial.
% 1.57/1.76 apply (zenon_L1774_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1775_ *)
% 1.57/1.76 assert (zenon_L1776_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H1d6 zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hef zenon_H54 zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_Hd4 zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.76 apply (zenon_L1758_); trivial.
% 1.57/1.76 apply (zenon_L1775_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1776_ *)
% 1.57/1.76 assert (zenon_L1777_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp11)) -> (~(hskp26)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H4d zenon_H4b zenon_H258 zenon_H25a zenon_H50 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ].
% 1.57/1.76 apply (zenon_L243_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ].
% 1.57/1.76 apply (zenon_L414_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ].
% 1.57/1.76 exact (zenon_H4b zenon_H4c).
% 1.57/1.76 exact (zenon_H4d zenon_H4e).
% 1.57/1.76 apply (zenon_L657_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1777_ *)
% 1.57/1.76 assert (zenon_L1778_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H165 zenon_H129 zenon_H264 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H12 zenon_H28c zenon_H28d zenon_H28e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.57/1.76 apply (zenon_L403_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.57/1.76 apply (zenon_L957_); trivial.
% 1.57/1.76 apply (zenon_L958_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1778_ *)
% 1.57/1.76 assert (zenon_L1779_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H80 zenon_H2f0 zenon_H264 zenon_H165 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H50 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.76 apply (zenon_L1777_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.76 apply (zenon_L94_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.76 apply (zenon_L1554_); trivial.
% 1.57/1.76 apply (zenon_L1778_); trivial.
% 1.57/1.76 apply (zenon_L733_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.76 apply (zenon_L735_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.76 apply (zenon_L1554_); trivial.
% 1.57/1.76 apply (zenon_L1778_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1779_ *)
% 1.57/1.76 assert (zenon_L1780_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_Hb6 zenon_Hb8 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_Hea zenon_H32 zenon_H31 zenon_H30 zenon_He8 zenon_H165 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.57/1.76 apply (zenon_L887_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.57/1.76 apply (zenon_L1554_); trivial.
% 1.57/1.76 apply (zenon_L108_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1780_ *)
% 1.57/1.76 assert (zenon_L1781_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_H1be zenon_H21d zenon_H7e zenon_H55 zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H17c zenon_H17d zenon_H17e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H233.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.57/1.76 apply (zenon_L881_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.57/1.76 apply (zenon_L923_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.57/1.76 apply (zenon_L887_); trivial.
% 1.57/1.76 exact (zenon_H1be zenon_H1bf).
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.57/1.76 apply (zenon_L1780_); trivial.
% 1.57/1.76 exact (zenon_H5 zenon_H6).
% 1.57/1.76 (* end of lemma zenon_L1781_ *)
% 1.57/1.76 assert (zenon_L1782_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hc2 zenon_H1c4 zenon_H1be zenon_H21d zenon_Hea zenon_He8 zenon_H233 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H3c zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.57/1.76 apply (zenon_L1741_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L155_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L531_); trivial.
% 1.57/1.76 apply (zenon_L1781_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1782_ *)
% 1.57/1.76 assert (zenon_L1783_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1ac zenon_H20b zenon_H103 zenon_H1d6 zenon_H1ca zenon_Hc2 zenon_H1c4 zenon_H21d zenon_H233 zenon_H1bc zenon_H133 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H10b zenon_H231 zenon_H11e zenon_H18b zenon_H18a zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H27f zenon_H1d9.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.57/1.76 apply (zenon_L961_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.76 apply (zenon_L865_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.76 apply (zenon_L867_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.76 apply (zenon_L868_); trivial.
% 1.57/1.76 apply (zenon_L1782_); trivial.
% 1.57/1.76 apply (zenon_L878_); trivial.
% 1.57/1.76 apply (zenon_L751_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1783_ *)
% 1.57/1.76 assert (zenon_L1784_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H7e zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.57/1.76 apply (zenon_L116_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.57/1.76 apply (zenon_L433_); trivial.
% 1.57/1.76 exact (zenon_H55 zenon_H56).
% 1.57/1.76 (* end of lemma zenon_L1784_ *)
% 1.57/1.76 assert (zenon_L1785_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27 zenon_H7e zenon_He8.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.57/1.76 apply (zenon_L1784_); trivial.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.57/1.76 apply (zenon_L15_); trivial.
% 1.57/1.76 exact (zenon_He8 zenon_He9).
% 1.57/1.76 (* end of lemma zenon_L1785_ *)
% 1.57/1.76 assert (zenon_L1786_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_Hec zenon_H40 zenon_H2a zenon_H27 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L1739_); trivial.
% 1.57/1.76 apply (zenon_L1785_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1786_ *)
% 1.57/1.76 assert (zenon_L1787_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H8e zenon_H8f zenon_H90 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H55 zenon_H7e zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L91_); trivial.
% 1.57/1.76 apply (zenon_L435_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1787_ *)
% 1.57/1.76 assert (zenon_L1788_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H101 zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H55 zenon_H7e zenon_H109 zenon_H10b zenon_H163 zenon_H161 zenon_H165 zenon_H54.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_L1787_); trivial.
% 1.57/1.76 apply (zenon_L139_); trivial.
% 1.57/1.76 apply (zenon_L170_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1788_ *)
% 1.57/1.76 assert (zenon_L1789_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hef zenon_H2a zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H108.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_L1759_); trivial.
% 1.57/1.76 apply (zenon_L139_); trivial.
% 1.57/1.76 apply (zenon_L1786_); trivial.
% 1.57/1.76 apply (zenon_L1788_); trivial.
% 1.57/1.76 apply (zenon_L968_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1789_ *)
% 1.57/1.76 assert (zenon_L1790_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L551_); trivial.
% 1.57/1.76 apply (zenon_L866_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1790_ *)
% 1.57/1.76 assert (zenon_L1791_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_H23b zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H10b zenon_H3c zenon_H119 zenon_H11e zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H1d6 zenon_H40.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.76 apply (zenon_L1790_); trivial.
% 1.57/1.76 apply (zenon_L848_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1791_ *)
% 1.57/1.76 assert (zenon_L1792_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H1e6 zenon_H1d9 zenon_H138 zenon_H23b zenon_H54 zenon_H165 zenon_H10b zenon_H3c zenon_H119 zenon_H11e zenon_H40 zenon_H1d6 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H185 zenon_H86 zenon_H1e4 zenon_H124 zenon_H18a.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.57/1.76 apply (zenon_L1790_); trivial.
% 1.57/1.76 apply (zenon_L241_); trivial.
% 1.57/1.76 apply (zenon_L1791_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1792_ *)
% 1.57/1.76 assert (zenon_L1793_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L897_); trivial.
% 1.57/1.76 apply (zenon_L215_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1793_ *)
% 1.57/1.76 assert (zenon_L1794_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_L1744_); trivial.
% 1.57/1.76 apply (zenon_L809_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1794_ *)
% 1.57/1.76 assert (zenon_L1795_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.57/1.76 apply (zenon_L1793_); trivial.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.57/1.76 apply (zenon_L897_); trivial.
% 1.57/1.76 apply (zenon_L1794_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1795_ *)
% 1.57/1.76 assert (zenon_L1796_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H39 zenon_H109 zenon_H10b.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.57/1.76 apply (zenon_L91_); trivial.
% 1.57/1.76 apply (zenon_L570_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1796_ *)
% 1.57/1.76 assert (zenon_L1797_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.57/1.76 apply (zenon_L1796_); trivial.
% 1.57/1.76 apply (zenon_L22_); trivial.
% 1.57/1.76 apply (zenon_L1555_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1797_ *)
% 1.57/1.76 assert (zenon_L1798_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H27f zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H15a zenon_H159 zenon_H158 zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.57/1.76 apply (zenon_L1797_); trivial.
% 1.57/1.76 apply (zenon_L873_); trivial.
% 1.57/1.76 (* end of lemma zenon_L1798_ *)
% 1.57/1.76 assert (zenon_L1799_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H2f0 zenon_H5.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.67/1.77 apply (zenon_L705_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.67/1.77 apply (zenon_L1613_); trivial.
% 1.67/1.77 exact (zenon_H5 zenon_H6).
% 1.67/1.77 (* end of lemma zenon_L1799_ *)
% 1.67/1.77 assert (zenon_L1800_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L1739_); trivial.
% 1.67/1.77 apply (zenon_L1799_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1800_ *)
% 1.67/1.77 assert (zenon_L1801_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L1747_); trivial.
% 1.67/1.77 apply (zenon_L1800_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1801_ *)
% 1.67/1.77 assert (zenon_L1802_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H125 zenon_H127 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H163 zenon_H3 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L520_); trivial.
% 1.67/1.77 apply (zenon_L335_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1802_ *)
% 1.67/1.77 assert (zenon_L1803_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L155_); trivial.
% 1.67/1.77 apply (zenon_L1800_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1803_ *)
% 1.67/1.77 assert (zenon_L1804_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L1739_); trivial.
% 1.67/1.77 apply (zenon_L570_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1804_ *)
% 1.67/1.77 assert (zenon_L1805_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L155_); trivial.
% 1.67/1.77 apply (zenon_L1804_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1805_ *)
% 1.67/1.77 assert (zenon_L1806_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_Hec zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_L18_); trivial.
% 1.67/1.77 apply (zenon_L985_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1806_ *)
% 1.67/1.77 assert (zenon_L1807_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H138 zenon_H1e4 zenon_H1d6 zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H153 zenon_H155 zenon_Hef zenon_H1be zenon_H1c0 zenon_H124.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.67/1.77 apply (zenon_L582_); trivial.
% 1.67/1.77 apply (zenon_L1806_); trivial.
% 1.67/1.77 apply (zenon_L232_); trivial.
% 1.67/1.77 apply (zenon_L500_); trivial.
% 1.67/1.77 apply (zenon_L941_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1807_ *)
% 1.67/1.77 assert (zenon_L1808_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.67/1.77 apply (zenon_L136_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.67/1.77 apply (zenon_L117_); trivial.
% 1.67/1.77 apply (zenon_L1771_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1808_ *)
% 1.67/1.77 assert (zenon_L1809_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L91_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.67/1.77 apply (zenon_L161_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.67/1.77 apply (zenon_L1808_); trivial.
% 1.67/1.77 apply (zenon_L229_); trivial.
% 1.67/1.77 apply (zenon_L22_); trivial.
% 1.67/1.77 apply (zenon_L1555_); trivial.
% 1.67/1.77 apply (zenon_L846_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1809_ *)
% 1.67/1.77 assert (zenon_L1810_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L440_); trivial.
% 1.67/1.77 apply (zenon_L1809_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1810_ *)
% 1.67/1.77 assert (zenon_L1811_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ].
% 1.67/1.77 apply (zenon_L820_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ].
% 1.67/1.77 apply (zenon_L64_); trivial.
% 1.67/1.77 apply (zenon_L108_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1811_ *)
% 1.67/1.77 assert (zenon_L1812_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H231 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.67/1.77 apply (zenon_L161_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.67/1.77 apply (zenon_L1811_); trivial.
% 1.67/1.77 apply (zenon_L1033_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1812_ *)
% 1.67/1.77 assert (zenon_L1813_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False).
% 1.67/1.77 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H4d zenon_H4b zenon_H50 zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12a zenon_H12b zenon_H12c zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H32 zenon_H31 zenon_H30 zenon_He8.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.67/1.77 apply (zenon_L1812_); trivial.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.67/1.77 apply (zenon_L15_); trivial.
% 1.67/1.77 exact (zenon_He8 zenon_He9).
% 1.67/1.77 (* end of lemma zenon_L1813_ *)
% 1.67/1.77 assert (zenon_L1814_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H233 zenon_H192 zenon_H191 zenon_H190 zenon_H4d zenon_H50 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_He8 zenon_Hea zenon_Hc2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L155_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L91_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.67/1.77 apply (zenon_L1767_); trivial.
% 1.67/1.77 apply (zenon_L1813_); trivial.
% 1.67/1.77 apply (zenon_L22_); trivial.
% 1.67/1.77 apply (zenon_L1555_); trivial.
% 1.67/1.77 apply (zenon_L846_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1814_ *)
% 1.67/1.77 assert (zenon_L1815_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_L216_); trivial.
% 1.67/1.77 apply (zenon_L1810_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1815_ *)
% 1.67/1.77 assert (zenon_L1816_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_Hc2 zenon_H4d zenon_H50 zenon_H55 zenon_Hd4 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H71 zenon_H10b zenon_H10d zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H80 zenon_H86 zenon_H185 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_H231 zenon_H20f zenon_H210 zenon_H1ca.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_L1770_); trivial.
% 1.67/1.77 apply (zenon_L1814_); trivial.
% 1.67/1.77 apply (zenon_L1815_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1816_ *)
% 1.67/1.77 assert (zenon_L1817_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L155_); trivial.
% 1.67/1.77 apply (zenon_L1019_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1817_ *)
% 1.67/1.77 assert (zenon_L1818_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hd4 zenon_H55 zenon_H7e zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H40 zenon_H11e zenon_H124.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.67/1.77 apply (zenon_L1817_); trivial.
% 1.67/1.77 apply (zenon_L1754_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1818_ *)
% 1.67/1.77 assert (zenon_L1819_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1ca zenon_H1bc zenon_H133 zenon_H124 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H138.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L155_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_L27_); trivial.
% 1.67/1.77 apply (zenon_L990_); trivial.
% 1.67/1.77 apply (zenon_L377_); trivial.
% 1.67/1.77 apply (zenon_L1282_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1819_ *)
% 1.67/1.77 assert (zenon_L1820_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_L1793_); trivial.
% 1.67/1.77 apply (zenon_L1282_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1820_ *)
% 1.67/1.77 assert (zenon_L1821_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_L895_); trivial.
% 1.67/1.77 apply (zenon_L1725_); trivial.
% 1.67/1.77 apply (zenon_L255_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1821_ *)
% 1.67/1.77 assert (zenon_L1822_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1bc zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54 zenon_Hd4 zenon_H124.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L1821_); trivial.
% 1.67/1.77 apply (zenon_L215_); trivial.
% 1.67/1.77 apply (zenon_L1282_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1822_ *)
% 1.67/1.77 assert (zenon_L1823_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_L984_); trivial.
% 1.67/1.77 apply (zenon_L766_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1823_ *)
% 1.67/1.77 assert (zenon_L1824_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_L984_); trivial.
% 1.67/1.77 apply (zenon_L968_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1824_ *)
% 1.67/1.77 assert (zenon_L1825_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.77 apply (zenon_L1064_); trivial.
% 1.67/1.77 apply (zenon_L968_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1825_ *)
% 1.67/1.77 assert (zenon_L1826_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H138 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.67/1.77 apply (zenon_L813_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.77 apply (zenon_L27_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.77 apply (zenon_L343_); trivial.
% 1.67/1.77 apply (zenon_L842_); trivial.
% 1.67/1.77 apply (zenon_L391_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1826_ *)
% 1.67/1.77 assert (zenon_L1827_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_L216_); trivial.
% 1.67/1.77 apply (zenon_L1282_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1827_ *)
% 1.67/1.77 assert (zenon_L1828_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H124 zenon_H11e zenon_H10b zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H5 zenon_H1c4 zenon_H1c2 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.67/1.77 apply (zenon_L1082_); trivial.
% 1.67/1.77 apply (zenon_L828_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1828_ *)
% 1.67/1.77 assert (zenon_L1829_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.67/1.77 apply (zenon_L416_); trivial.
% 1.67/1.77 apply (zenon_L1666_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1829_ *)
% 1.67/1.77 assert (zenon_L1830_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H86 zenon_H185 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb2 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.67/1.77 apply (zenon_L493_); trivial.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.67/1.77 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.77 apply (zenon_L1669_); trivial.
% 1.67/1.77 apply (zenon_L1042_); trivial.
% 1.67/1.77 apply (zenon_L1671_); trivial.
% 1.67/1.77 (* end of lemma zenon_L1830_ *)
% 1.67/1.77 assert (zenon_L1831_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.67/1.77 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1829_); trivial.
% 1.67/1.78 apply (zenon_L1045_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1831_ *)
% 1.67/1.78 assert (zenon_L1832_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H54 zenon_Hd4 zenon_H7e zenon_H10b zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1e2 zenon_H11e zenon_H124 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.67/1.78 apply (zenon_L644_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1669_); trivial.
% 1.67/1.78 apply (zenon_L1048_); trivial.
% 1.67/1.78 apply (zenon_L1671_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1832_ *)
% 1.67/1.78 assert (zenon_L1833_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (ndr1_0) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_Hc2 zenon_H1e2 zenon_H4b zenon_H4d zenon_H50 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H12 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.67/1.78 apply (zenon_L1052_); trivial.
% 1.67/1.78 apply (zenon_L1034_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1833_ *)
% 1.67/1.78 assert (zenon_L1834_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H185 zenon_H86 zenon_H7e zenon_H124 zenon_H1e2 zenon_H165 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.67/1.78 apply (zenon_L493_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.67/1.78 apply (zenon_L494_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1678_); trivial.
% 1.67/1.78 apply (zenon_L1042_); trivial.
% 1.67/1.78 apply (zenon_L1671_); trivial.
% 1.67/1.78 apply (zenon_L1681_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1834_ *)
% 1.67/1.78 assert (zenon_L1835_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.67/1.78 apply (zenon_L188_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.67/1.78 apply (zenon_L998_); trivial.
% 1.67/1.78 exact (zenon_H55 zenon_H56).
% 1.67/1.78 (* end of lemma zenon_L1835_ *)
% 1.67/1.78 assert (zenon_L1836_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H155 zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.67/1.78 apply (zenon_L1835_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.67/1.78 apply (zenon_L420_); trivial.
% 1.67/1.78 exact (zenon_H153 zenon_H154).
% 1.67/1.78 (* end of lemma zenon_L1836_ *)
% 1.67/1.78 assert (zenon_L1837_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H7e zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_He8.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.67/1.78 apply (zenon_L1836_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.67/1.78 apply (zenon_L15_); trivial.
% 1.67/1.78 exact (zenon_He8 zenon_He9).
% 1.67/1.78 (* end of lemma zenon_L1837_ *)
% 1.67/1.78 assert (zenon_L1838_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H7e zenon_H55 zenon_H42 zenon_H43 zenon_H44 zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.67/1.78 apply (zenon_L372_); trivial.
% 1.67/1.78 apply (zenon_L1837_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1838_ *)
% 1.67/1.78 assert (zenon_L1839_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H71 zenon_Hc2.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.78 apply (zenon_L1689_); trivial.
% 1.67/1.78 apply (zenon_L1838_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1839_ *)
% 1.67/1.78 assert (zenon_L1840_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H1be zenon_H1c0 zenon_H264 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H3c zenon_H40 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1678_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.78 apply (zenon_L1690_); trivial.
% 1.67/1.78 apply (zenon_L1839_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1840_ *)
% 1.67/1.78 assert (zenon_L1841_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1ca zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H1be zenon_H1c0 zenon_H264 zenon_H153 zenon_H155 zenon_Hf zenon_H3c zenon_H40 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H125 zenon_H127 zenon_Hd4 zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H21d zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H11e zenon_H138.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.78 apply (zenon_L1840_); trivial.
% 1.67/1.78 apply (zenon_L1831_); trivial.
% 1.67/1.78 apply (zenon_L1671_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1841_ *)
% 1.67/1.78 assert (zenon_L1842_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.67/1.78 apply (zenon_L416_); trivial.
% 1.67/1.78 apply (zenon_L473_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1842_ *)
% 1.67/1.78 assert (zenon_L1843_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H1bc zenon_H2e zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.67/1.78 apply (zenon_L1842_); trivial.
% 1.67/1.78 apply (zenon_L638_); trivial.
% 1.67/1.78 apply (zenon_L215_); trivial.
% 1.67/1.78 apply (zenon_L1671_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1843_ *)
% 1.67/1.78 assert (zenon_L1844_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_H1dc zenon_Hb6 zenon_Hb8 zenon_Hb7 zenon_Haa zenon_H1be.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.67/1.78 apply (zenon_L1039_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.67/1.78 apply (zenon_L1039_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.67/1.78 apply (zenon_L98_); trivial.
% 1.67/1.78 apply (zenon_L764_); trivial.
% 1.67/1.78 exact (zenon_H1be zenon_H1bf).
% 1.67/1.78 (* end of lemma zenon_L1844_ *)
% 1.67/1.78 assert (zenon_L1845_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_H1dc zenon_Hb6 zenon_Hb8 zenon_Hb7 zenon_Haa zenon_H1be.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.67/1.78 apply (zenon_L161_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.67/1.78 apply (zenon_L169_); trivial.
% 1.67/1.78 apply (zenon_L1844_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1845_ *)
% 1.67/1.78 assert (zenon_L1846_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H55 zenon_Hd2 zenon_Hd4 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.67/1.78 apply (zenon_L161_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.67/1.78 apply (zenon_L66_); trivial.
% 1.67/1.78 apply (zenon_L1845_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1846_ *)
% 1.67/1.78 assert (zenon_L1847_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H57 zenon_H59 zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H40 zenon_H3c zenon_Hf zenon_H155 zenon_H153 zenon_H264 zenon_H1c0 zenon_H1be zenon_H55 zenon_H7e zenon_H54 zenon_H124.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.78 apply (zenon_L1840_); trivial.
% 1.67/1.78 apply (zenon_L377_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1847_ *)
% 1.67/1.78 assert (zenon_L1848_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.67/1.78 apply (zenon_L161_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.67/1.78 apply (zenon_L544_); trivial.
% 1.67/1.78 apply (zenon_L1033_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1848_ *)
% 1.67/1.78 assert (zenon_L1849_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H50 zenon_H4b zenon_H4d.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.67/1.78 apply (zenon_L396_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.67/1.78 apply (zenon_L1554_); trivial.
% 1.67/1.78 apply (zenon_L1848_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1849_ *)
% 1.67/1.78 assert (zenon_L1850_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (ndr1_0) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_Hc2 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H245 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H12 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.67/1.78 apply (zenon_L1052_); trivial.
% 1.67/1.78 apply (zenon_L1849_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1850_ *)
% 1.67/1.78 assert (zenon_L1851_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2f0 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.67/1.78 apply (zenon_L600_); trivial.
% 1.67/1.78 apply (zenon_L1684_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1851_ *)
% 1.67/1.78 assert (zenon_L1852_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (ndr1_0) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a800))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H80 zenon_H54 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_H40 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H12 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_H245 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H4d zenon_H50 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_Hc2.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.78 apply (zenon_L1850_); trivial.
% 1.67/1.78 apply (zenon_L1851_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1852_ *)
% 1.67/1.78 assert (zenon_L1853_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H246 zenon_H244 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.67/1.78 apply (zenon_L58_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.67/1.78 apply (zenon_L161_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.67/1.78 apply (zenon_L163_); trivial.
% 1.67/1.78 apply (zenon_L1067_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1853_ *)
% 1.67/1.78 assert (zenon_L1854_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a800))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H121 zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H71 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_H245 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H4d zenon_H50 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_Hc2.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.78 apply (zenon_L1850_); trivial.
% 1.67/1.78 apply (zenon_L1853_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1854_ *)
% 1.67/1.78 assert (zenon_L1855_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H50 zenon_H4d zenon_H1e2 zenon_H21d zenon_H103 zenon_H10b zenon_H80 zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H40 zenon_H3c zenon_Hf zenon_H155 zenon_H153 zenon_H264 zenon_H1c0 zenon_H1be zenon_H55 zenon_H7e zenon_H54 zenon_H124.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.78 apply (zenon_L1840_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1678_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.78 apply (zenon_L1852_); trivial.
% 1.67/1.78 apply (zenon_L1854_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1855_ *)
% 1.67/1.78 assert (zenon_L1856_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H21d zenon_H1be zenon_H1e2 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H10b zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_H40 zenon_H3c zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_Hc2 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.78 apply (zenon_L1691_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1678_); trivial.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.67/1.78 apply (zenon_L601_); trivial.
% 1.67/1.78 apply (zenon_L1854_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1856_ *)
% 1.67/1.78 assert (zenon_L1857_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H21d zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1678_); trivial.
% 1.67/1.78 apply (zenon_L1069_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1857_ *)
% 1.67/1.78 assert (zenon_L1858_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.67/1.78 apply (zenon_L1220_); trivial.
% 1.67/1.78 apply (zenon_L1635_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1858_ *)
% 1.67/1.78 assert (zenon_L1859_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.67/1.78 apply (zenon_L1858_); trivial.
% 1.67/1.78 apply (zenon_L1103_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1859_ *)
% 1.67/1.78 assert (zenon_L1860_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.78 apply (zenon_L1114_); trivial.
% 1.67/1.78 apply (zenon_L1634_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1860_ *)
% 1.67/1.78 assert (zenon_L1861_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.67/1.78 apply (zenon_L1663_); trivial.
% 1.67/1.78 apply (zenon_L1860_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1861_ *)
% 1.67/1.78 assert (zenon_L1862_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.67/1.78 apply (zenon_L1105_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.67/1.78 apply (zenon_L48_); trivial.
% 1.67/1.78 apply (zenon_L229_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1862_ *)
% 1.67/1.78 assert (zenon_L1863_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H8e zenon_H8f zenon_H90 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.67/1.78 apply (zenon_L421_); trivial.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.67/1.78 apply (zenon_L1862_); trivial.
% 1.67/1.78 exact (zenon_H5 zenon_H6).
% 1.67/1.78 (* end of lemma zenon_L1863_ *)
% 1.67/1.78 assert (zenon_L1864_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H101 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.67/1.78 apply (zenon_L1156_); trivial.
% 1.67/1.78 apply (zenon_L1863_); trivial.
% 1.67/1.78 (* end of lemma zenon_L1864_ *)
% 1.67/1.78 assert (zenon_L1865_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H80 zenon_H2a zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H54 zenon_H108.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.67/1.78 apply (zenon_L1161_); trivial.
% 1.69/1.79 apply (zenon_L235_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1865_ *)
% 1.69/1.79 assert (zenon_L1866_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H57 zenon_H59 zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1214_); trivial.
% 1.69/1.79 apply (zenon_L1173_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1866_ *)
% 1.69/1.79 assert (zenon_L1867_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.79 apply (zenon_L216_); trivial.
% 1.69/1.79 apply (zenon_L1861_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1867_ *)
% 1.69/1.79 assert (zenon_L1868_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124 zenon_H165 zenon_H2bf zenon_H2b5 zenon_H2c1 zenon_H18b.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1129_); trivial.
% 1.69/1.79 apply (zenon_L1169_); trivial.
% 1.69/1.79 apply (zenon_L1132_); trivial.
% 1.69/1.79 apply (zenon_L1133_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1868_ *)
% 1.69/1.79 assert (zenon_L1869_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L1126_); trivial.
% 1.69/1.79 apply (zenon_L1137_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1869_ *)
% 1.69/1.79 assert (zenon_L1870_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L531_); trivial.
% 1.69/1.79 apply (zenon_L1138_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1870_ *)
% 1.69/1.79 assert (zenon_L1871_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.79 apply (zenon_L1106_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.79 apply (zenon_L544_); trivial.
% 1.69/1.79 apply (zenon_L229_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1871_ *)
% 1.69/1.79 assert (zenon_L1872_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.79 apply (zenon_L1106_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.79 apply (zenon_L545_); trivial.
% 1.69/1.79 apply (zenon_L229_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1872_ *)
% 1.69/1.79 assert (zenon_L1873_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L26_); trivial.
% 1.69/1.79 apply (zenon_L1872_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1873_ *)
% 1.69/1.79 assert (zenon_L1874_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.79 apply (zenon_L421_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.79 apply (zenon_L1554_); trivial.
% 1.69/1.79 apply (zenon_L1699_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1874_ *)
% 1.69/1.79 assert (zenon_L1875_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L1156_); trivial.
% 1.69/1.79 apply (zenon_L1874_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1875_ *)
% 1.69/1.79 assert (zenon_L1876_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_H80.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1875_); trivial.
% 1.69/1.79 apply (zenon_L555_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1876_ *)
% 1.69/1.79 assert (zenon_L1877_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H1d9 zenon_H71 zenon_H165 zenon_H80 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.69/1.79 apply (zenon_L1876_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1158_); trivial.
% 1.69/1.79 apply (zenon_L555_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1877_ *)
% 1.69/1.79 assert (zenon_L1878_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L498_); trivial.
% 1.69/1.79 apply (zenon_L1127_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1878_ *)
% 1.69/1.79 assert (zenon_L1879_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H1d8 zenon_H18a zenon_H124 zenon_H231 zenon_H86 zenon_H185 zenon_H1d6 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.79 apply (zenon_L225_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.79 apply (zenon_L1554_); trivial.
% 1.69/1.79 apply (zenon_L1699_); trivial.
% 1.69/1.79 apply (zenon_L1088_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1879_ *)
% 1.69/1.79 assert (zenon_L1880_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1221_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.69/1.79 apply (zenon_L46_); trivial.
% 1.69/1.79 apply (zenon_L1666_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1880_ *)
% 1.69/1.79 assert (zenon_L1881_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1221_); trivial.
% 1.69/1.79 apply (zenon_L1026_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1881_ *)
% 1.69/1.79 assert (zenon_L1882_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H1ca zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H7e zenon_H55 zenon_Hd4 zenon_H124.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L1880_); trivial.
% 1.69/1.79 apply (zenon_L1881_); trivial.
% 1.69/1.79 apply (zenon_L1671_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1882_ *)
% 1.69/1.79 assert (zenon_L1883_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb2 zenon_Hb4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1100_); trivial.
% 1.69/1.79 apply (zenon_L1684_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1883_ *)
% 1.69/1.79 assert (zenon_L1884_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L122_); trivial.
% 1.69/1.79 apply (zenon_L1883_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1884_ *)
% 1.69/1.79 assert (zenon_L1885_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1094_); trivial.
% 1.69/1.79 apply (zenon_L1684_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1885_ *)
% 1.69/1.79 assert (zenon_L1886_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.79 apply (zenon_L396_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.79 apply (zenon_L1554_); trivial.
% 1.69/1.79 apply (zenon_L1871_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1886_ *)
% 1.69/1.79 assert (zenon_L1887_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H40 zenon_H2f0 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H59 zenon_H7e zenon_H18b.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L26_); trivial.
% 1.69/1.79 apply (zenon_L1886_); trivial.
% 1.69/1.79 apply (zenon_L1693_); trivial.
% 1.69/1.79 apply (zenon_L1700_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1887_ *)
% 1.69/1.79 assert (zenon_L1888_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H289 zenon_H255 zenon_H16e zenon_H138 zenon_H2c1 zenon_H142 zenon_He4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hb4 zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H71 zenon_H2f0 zenon_Hc2 zenon_H54 zenon_H80 zenon_H18b zenon_H59 zenon_H1e2 zenon_Hea zenon_H2a0 zenon_H2a5.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1884_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L122_); trivial.
% 1.69/1.79 apply (zenon_L1885_); trivial.
% 1.69/1.79 apply (zenon_L1887_); trivial.
% 1.69/1.79 apply (zenon_L1633_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1888_ *)
% 1.69/1.79 assert (zenon_L1889_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L1156_); trivial.
% 1.69/1.79 apply (zenon_L1555_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1889_ *)
% 1.69/1.79 assert (zenon_L1890_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.79 apply (zenon_L1889_); trivial.
% 1.69/1.79 apply (zenon_L255_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1890_ *)
% 1.69/1.79 assert (zenon_L1891_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H231 zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L1890_); trivial.
% 1.69/1.79 apply (zenon_L1237_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1891_ *)
% 1.69/1.79 assert (zenon_L1892_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L1114_); trivial.
% 1.69/1.79 apply (zenon_L1555_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1892_ *)
% 1.69/1.79 assert (zenon_L1893_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.79 apply (zenon_L1892_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L1114_); trivial.
% 1.69/1.79 apply (zenon_L1097_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1893_ *)
% 1.69/1.79 assert (zenon_L1894_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.79 apply (zenon_L1892_); trivial.
% 1.69/1.79 apply (zenon_L255_); trivial.
% 1.69/1.79 apply (zenon_L1893_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1894_ *)
% 1.69/1.79 assert (zenon_L1895_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1249_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L200_); trivial.
% 1.69/1.79 apply (zenon_L1239_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1895_ *)
% 1.69/1.79 assert (zenon_L1896_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ].
% 1.69/1.79 apply (zenon_L822_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ].
% 1.69/1.79 apply (zenon_L100_); trivial.
% 1.69/1.79 exact (zenon_H55 zenon_H56).
% 1.69/1.79 (* end of lemma zenon_L1896_ *)
% 1.69/1.79 assert (zenon_L1897_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H102 zenon_H55 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H42 zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd8 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ].
% 1.69/1.79 apply (zenon_L920_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ].
% 1.69/1.79 apply (zenon_L87_); trivial.
% 1.69/1.79 exact (zenon_H1 zenon_H2).
% 1.69/1.79 (* end of lemma zenon_L1897_ *)
% 1.69/1.79 assert (zenon_L1898_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He8 zenon_Hea zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H102 zenon_H5.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.69/1.79 apply (zenon_L920_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.69/1.79 apply (zenon_L1896_); trivial.
% 1.69/1.79 exact (zenon_He8 zenon_He9).
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.79 apply (zenon_L1897_); trivial.
% 1.69/1.79 exact (zenon_H5 zenon_H6).
% 1.69/1.79 (* end of lemma zenon_L1898_ *)
% 1.69/1.79 assert (zenon_L1899_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H1 zenon_H102 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H54.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L1895_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1249_); trivial.
% 1.69/1.79 apply (zenon_L1898_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1899_ *)
% 1.69/1.79 assert (zenon_L1900_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L475_); trivial.
% 1.69/1.79 apply (zenon_L1753_); trivial.
% 1.69/1.79 apply (zenon_L215_); trivial.
% 1.69/1.79 apply (zenon_L1284_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1900_ *)
% 1.69/1.79 assert (zenon_L1901_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L676_); trivial.
% 1.69/1.79 apply (zenon_L1748_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1901_ *)
% 1.69/1.79 assert (zenon_L1902_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1100_); trivial.
% 1.69/1.79 apply (zenon_L1901_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1902_ *)
% 1.69/1.79 assert (zenon_L1903_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H40 zenon_H16f zenon_H161 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L676_); trivial.
% 1.69/1.79 apply (zenon_L1149_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1903_ *)
% 1.69/1.79 assert (zenon_L1904_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.79 apply (zenon_L55_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L27_); trivial.
% 1.69/1.79 apply (zenon_L1903_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1904_ *)
% 1.69/1.79 assert (zenon_L1905_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H7e zenon_H55 zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L1283_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.79 apply (zenon_L1892_); trivial.
% 1.69/1.79 apply (zenon_L809_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1905_ *)
% 1.69/1.79 assert (zenon_L1906_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H16f zenon_H161 zenon_H8c zenon_H2bf zenon_Hd4 zenon_H7e zenon_H124 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2b5 zenon_H2c1 zenon_H138.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.79 apply (zenon_L1243_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1904_); trivial.
% 1.69/1.79 apply (zenon_L1284_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1904_); trivial.
% 1.69/1.79 apply (zenon_L1905_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1906_ *)
% 1.69/1.79 assert (zenon_L1907_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.79 apply (zenon_L1889_); trivial.
% 1.69/1.79 apply (zenon_L809_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1907_ *)
% 1.69/1.79 assert (zenon_L1908_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.79 apply (zenon_L155_); trivial.
% 1.69/1.79 apply (zenon_L1907_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1908_ *)
% 1.69/1.79 assert (zenon_L1909_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H2c1 zenon_H5 zenon_H1c2 zenon_H2e zenon_H1bc zenon_H8c zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H11e zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.79 apply (zenon_L216_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.79 apply (zenon_L1908_); trivial.
% 1.69/1.79 apply (zenon_L1905_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1909_ *)
% 1.69/1.79 assert (zenon_L1910_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80 zenon_H124 zenon_H7e zenon_Hd4 zenon_H2bf zenon_H8c zenon_H16f zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H119 zenon_H11e zenon_H1ca zenon_H18b.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.69/1.79 apply (zenon_L1906_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.79 apply (zenon_L1243_); trivial.
% 1.69/1.79 apply (zenon_L1909_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1910_ *)
% 1.69/1.79 assert (zenon_L1911_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.79 apply (zenon_L1106_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.79 apply (zenon_L822_); trivial.
% 1.69/1.79 apply (zenon_L229_); trivial.
% 1.69/1.79 (* end of lemma zenon_L1911_ *)
% 1.69/1.79 assert (zenon_L1912_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hea zenon_He8 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.79 apply (zenon_L1100_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.79 apply (zenon_L676_); trivial.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.69/1.79 apply (zenon_L1911_); trivial.
% 1.69/1.79 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.69/1.79 apply (zenon_L15_); trivial.
% 1.69/1.79 exact (zenon_H125 zenon_H126).
% 1.69/1.79 (* end of lemma zenon_L1912_ *)
% 1.69/1.79 assert (zenon_L1913_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H124 zenon_Hea zenon_He8 zenon_H119 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H8c zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1100_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L676_); trivial.
% 1.69/1.80 apply (zenon_L1752_); trivial.
% 1.69/1.80 apply (zenon_L1912_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1913_ *)
% 1.69/1.80 assert (zenon_L1914_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1902_); trivial.
% 1.69/1.80 apply (zenon_L1240_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1914_ *)
% 1.69/1.80 assert (zenon_L1915_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1100_); trivial.
% 1.69/1.80 apply (zenon_L1903_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1915_ *)
% 1.69/1.80 assert (zenon_L1916_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1156_); trivial.
% 1.69/1.80 apply (zenon_L1915_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1916_ *)
% 1.69/1.80 assert (zenon_L1917_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1114_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1249_); trivial.
% 1.69/1.80 apply (zenon_L660_); trivial.
% 1.69/1.80 apply (zenon_L846_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1917_ *)
% 1.69/1.80 assert (zenon_L1918_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1100_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L676_); trivial.
% 1.69/1.80 apply (zenon_L726_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1918_ *)
% 1.69/1.80 assert (zenon_L1919_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1156_); trivial.
% 1.69/1.80 apply (zenon_L1918_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1919_ *)
% 1.69/1.80 assert (zenon_L1920_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L200_); trivial.
% 1.69/1.80 apply (zenon_L726_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1920_ *)
% 1.69/1.80 assert (zenon_L1921_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1249_); trivial.
% 1.69/1.80 apply (zenon_L1920_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1921_ *)
% 1.69/1.80 assert (zenon_L1922_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1114_); trivial.
% 1.69/1.80 apply (zenon_L1921_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1922_ *)
% 1.69/1.80 assert (zenon_L1923_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.80 apply (zenon_L1892_); trivial.
% 1.69/1.80 apply (zenon_L846_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1923_ *)
% 1.69/1.80 assert (zenon_L1924_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1919_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1922_); trivial.
% 1.69/1.80 apply (zenon_L1923_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1924_ *)
% 1.69/1.80 assert (zenon_L1925_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1283_); trivial.
% 1.69/1.80 apply (zenon_L1923_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1925_ *)
% 1.69/1.80 assert (zenon_L1926_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H8c zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1919_); trivial.
% 1.69/1.80 apply (zenon_L1284_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1919_); trivial.
% 1.69/1.80 apply (zenon_L1925_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1926_ *)
% 1.69/1.80 assert (zenon_L1927_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H187 zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H185 zenon_H86 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H2c1 zenon_H119 zenon_H11e zenon_H124 zenon_H138.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1919_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L155_); trivial.
% 1.69/1.80 apply (zenon_L1917_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1919_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L155_); trivial.
% 1.69/1.80 apply (zenon_L1923_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1927_ *)
% 1.69/1.80 assert (zenon_L1928_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.80 apply (zenon_L1105_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.80 apply (zenon_L882_); trivial.
% 1.69/1.80 apply (zenon_L229_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1928_ *)
% 1.69/1.80 assert (zenon_L1929_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H54 zenon_H1c4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1249_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_L950_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.69/1.80 apply (zenon_L1928_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.69/1.80 apply (zenon_L101_); trivial.
% 1.69/1.80 exact (zenon_H125 zenon_H126).
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 (* end of lemma zenon_L1929_ *)
% 1.69/1.80 assert (zenon_L1930_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H2f0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.80 apply (zenon_L1928_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.80 apply (zenon_L1554_); trivial.
% 1.69/1.80 apply (zenon_L108_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1930_ *)
% 1.69/1.80 assert (zenon_L1931_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H1c4 zenon_H28c zenon_H28d zenon_H28e zenon_H190 zenon_H191 zenon_H192 zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H2f0 zenon_H5.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_L950_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_L1930_); trivial.
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 (* end of lemma zenon_L1931_ *)
% 1.69/1.80 assert (zenon_L1932_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1283_); trivial.
% 1.69/1.80 apply (zenon_L1931_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1932_ *)
% 1.69/1.80 assert (zenon_L1933_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H119 zenon_H1c4 zenon_H2c1 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H231 zenon_H124.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1890_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1156_); trivial.
% 1.69/1.80 apply (zenon_L761_); trivial.
% 1.69/1.80 apply (zenon_L1894_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1933_ *)
% 1.69/1.80 assert (zenon_L1934_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H54 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H7e zenon_H55 zenon_H133 zenon_H138.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1254_); trivial.
% 1.69/1.80 apply (zenon_L1250_); trivial.
% 1.69/1.80 apply (zenon_L1261_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1934_ *)
% 1.69/1.80 assert (zenon_L1935_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L758_); trivial.
% 1.69/1.80 apply (zenon_L726_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1935_ *)
% 1.69/1.80 assert (zenon_L1936_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H23b zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1156_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1100_); trivial.
% 1.69/1.80 apply (zenon_L1935_); trivial.
% 1.69/1.80 apply (zenon_L555_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1936_ *)
% 1.69/1.80 assert (zenon_L1937_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H231 zenon_H55 zenon_H7e zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1890_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.80 apply (zenon_L1156_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L63_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L676_); trivial.
% 1.69/1.80 apply (zenon_L1609_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1937_ *)
% 1.69/1.80 assert (zenon_L1938_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H119 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H1bc zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H138.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1230_); trivial.
% 1.69/1.80 apply (zenon_L215_); trivial.
% 1.69/1.80 apply (zenon_L1284_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1890_); trivial.
% 1.69/1.80 apply (zenon_L1907_); trivial.
% 1.69/1.80 apply (zenon_L1905_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1938_ *)
% 1.69/1.80 assert (zenon_L1939_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L200_); trivial.
% 1.69/1.80 apply (zenon_L785_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1939_ *)
% 1.69/1.80 assert (zenon_L1940_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H125 zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1177_); trivial.
% 1.69/1.80 apply (zenon_L1939_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1940_ *)
% 1.69/1.80 assert (zenon_L1941_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H1a4 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H2c1 zenon_He8 zenon_Hea zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1259_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1940_); trivial.
% 1.69/1.80 apply (zenon_L1277_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1941_ *)
% 1.69/1.80 assert (zenon_L1942_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1c4 zenon_He8 zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H55 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H5.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.69/1.80 apply (zenon_L371_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.69/1.80 apply (zenon_L1896_); trivial.
% 1.69/1.80 exact (zenon_He8 zenon_He9).
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_L371_); trivial.
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 (* end of lemma zenon_L1942_ *)
% 1.69/1.80 assert (zenon_L1943_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.80 apply (zenon_L999_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.80 apply (zenon_L1554_); trivial.
% 1.69/1.80 apply (zenon_L108_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1943_ *)
% 1.69/1.80 assert (zenon_L1944_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H28e zenon_H28d zenon_H28c zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ].
% 1.69/1.80 apply (zenon_L1943_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ].
% 1.69/1.80 apply (zenon_L1896_); trivial.
% 1.69/1.80 exact (zenon_He8 zenon_He9).
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_L1943_); trivial.
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 (* end of lemma zenon_L1944_ *)
% 1.69/1.80 assert (zenon_L1945_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hd9 zenon_Hd7 zenon_H71 zenon_Hea zenon_He8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H5 zenon_H1c4.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.69/1.80 apply (zenon_L1942_); trivial.
% 1.69/1.80 apply (zenon_L1944_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1945_ *)
% 1.69/1.80 assert (zenon_L1946_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1ca zenon_Hc2 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hb2 zenon_Hb4 zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_Hea zenon_He8 zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.80 apply (zenon_L1941_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1259_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1940_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1177_); trivial.
% 1.69/1.80 apply (zenon_L1945_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1946_ *)
% 1.69/1.80 assert (zenon_L1947_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2c1 zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1259_); trivial.
% 1.69/1.80 apply (zenon_L1284_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1947_ *)
% 1.69/1.80 assert (zenon_L1948_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.80 apply (zenon_L676_); trivial.
% 1.69/1.80 apply (zenon_L1799_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1948_ *)
% 1.69/1.80 assert (zenon_L1949_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1100_); trivial.
% 1.69/1.80 apply (zenon_L1948_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1949_ *)
% 1.69/1.80 assert (zenon_L1950_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.69/1.80 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H139 zenon_H13a zenon_H13b zenon_H28c zenon_H28d zenon_H28e zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_L823_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_L1943_); trivial.
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 (* end of lemma zenon_L1950_ *)
% 1.69/1.80 assert (zenon_L1951_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_Hc2 zenon_H7e zenon_H55 zenon_H1a4 zenon_H119 zenon_Hb4 zenon_Hb2 zenon_H2c1 zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.80 apply (zenon_L1949_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.80 apply (zenon_L1283_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.80 apply (zenon_L1249_); trivial.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.80 apply (zenon_L823_); trivial.
% 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.80 apply (zenon_L371_); trivial.
% 1.69/1.80 exact (zenon_H5 zenon_H6).
% 1.69/1.80 apply (zenon_L1950_); trivial.
% 1.69/1.80 (* end of lemma zenon_L1951_ *)
% 1.69/1.80 assert (zenon_L1952_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.80 do 0 intro. intros zenon_H1ca zenon_H57 zenon_H59 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_Hea zenon_He8 zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.81 apply (zenon_L1941_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1949_); trivial.
% 1.69/1.81 apply (zenon_L1240_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1952_ *)
% 1.69/1.81 assert (zenon_L1953_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L475_); trivial.
% 1.69/1.81 apply (zenon_L1948_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1953_ *)
% 1.69/1.81 assert (zenon_L1954_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hf zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1953_); trivial.
% 1.69/1.81 apply (zenon_L1240_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1954_ *)
% 1.69/1.81 assert (zenon_L1955_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.81 apply (zenon_L1114_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1177_); trivial.
% 1.69/1.81 apply (zenon_L660_); trivial.
% 1.69/1.81 apply (zenon_L846_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1955_ *)
% 1.69/1.81 assert (zenon_L1956_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.81 apply (zenon_L1156_); trivial.
% 1.69/1.81 apply (zenon_L1720_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1956_ *)
% 1.69/1.81 assert (zenon_L1957_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H231 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.81 apply (zenon_L1890_); trivial.
% 1.69/1.81 apply (zenon_L1956_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1957_ *)
% 1.69/1.81 assert (zenon_L1958_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H231 zenon_H1c4 zenon_H124.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1957_); trivial.
% 1.69/1.81 apply (zenon_L1250_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1958_ *)
% 1.69/1.81 assert (zenon_L1959_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_L1725_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1959_ *)
% 1.69/1.81 assert (zenon_L1960_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L758_); trivial.
% 1.69/1.81 apply (zenon_L1241_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1960_ *)
% 1.69/1.81 assert (zenon_L1961_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.81 apply (zenon_L55_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L27_); trivial.
% 1.69/1.81 apply (zenon_L1960_); trivial.
% 1.69/1.81 apply (zenon_L1240_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1961_ *)
% 1.69/1.81 assert (zenon_L1962_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H81 zenon_H54 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L758_); trivial.
% 1.69/1.81 apply (zenon_L1149_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1962_ *)
% 1.69/1.81 assert (zenon_L1963_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.81 apply (zenon_L476_); trivial.
% 1.69/1.81 apply (zenon_L1962_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1963_ *)
% 1.69/1.81 assert (zenon_L1964_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H8c zenon_H2c1 zenon_Hd4 zenon_H124 zenon_H138.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1963_); trivial.
% 1.69/1.81 apply (zenon_L1284_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1963_); trivial.
% 1.69/1.81 apply (zenon_L1905_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1964_ *)
% 1.69/1.81 assert (zenon_L1965_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_He8 zenon_Hea zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L676_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.81 apply (zenon_L383_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.81 apply (zenon_L331_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.81 apply (zenon_L1554_); trivial.
% 1.69/1.81 apply (zenon_L1871_); trivial.
% 1.69/1.81 exact (zenon_H5 zenon_H6).
% 1.69/1.81 (* end of lemma zenon_L1965_ *)
% 1.69/1.81 assert (zenon_L1966_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H13b zenon_H13a zenon_H139 zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L758_); trivial.
% 1.69/1.81 apply (zenon_L1628_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1966_ *)
% 1.69/1.81 assert (zenon_L1967_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1966_); trivial.
% 1.69/1.81 apply (zenon_L1240_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1967_ *)
% 1.69/1.81 assert (zenon_L1968_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_He8 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.69/1.81 apply (zenon_L410_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.69/1.81 apply (zenon_L558_); trivial.
% 1.69/1.81 apply (zenon_L933_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1968_ *)
% 1.69/1.81 assert (zenon_L1969_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_He8 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.81 apply (zenon_L1106_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.81 apply (zenon_L544_); trivial.
% 1.69/1.81 apply (zenon_L1968_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1969_ *)
% 1.69/1.81 assert (zenon_L1970_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H165 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.69/1.81 apply (zenon_L410_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.69/1.81 apply (zenon_L117_); trivial.
% 1.69/1.81 apply (zenon_L19_); trivial.
% 1.69/1.81 apply (zenon_L1130_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1970_ *)
% 1.69/1.81 assert (zenon_L1971_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ].
% 1.69/1.81 apply (zenon_L820_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ].
% 1.69/1.81 apply (zenon_L127_); trivial.
% 1.69/1.81 exact (zenon_H153 zenon_H154).
% 1.69/1.81 (* end of lemma zenon_L1971_ *)
% 1.69/1.81 assert (zenon_L1972_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp28)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb zenon_H65 zenon_H1f6 zenon_H1f5 zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H12 zenon_H1e zenon_H1f zenon_H20.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ].
% 1.69/1.81 apply (zenon_L297_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ].
% 1.69/1.81 apply (zenon_L34_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ].
% 1.69/1.81 apply (zenon_L529_); trivial.
% 1.69/1.81 exact (zenon_Hb zenon_Hc).
% 1.69/1.81 apply (zenon_L11_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1972_ *)
% 1.69/1.81 assert (zenon_L1973_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp28)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_H20 zenon_H1f zenon_H1e zenon_H1bc zenon_H44 zenon_H43 zenon_H42 zenon_H1f5 zenon_H1f6 zenon_Hb zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.81 apply (zenon_L1105_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.81 apply (zenon_L1972_); trivial.
% 1.69/1.81 apply (zenon_L229_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1973_ *)
% 1.69/1.81 assert (zenon_L1974_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H29 zenon_H23b zenon_H71 zenon_H210 zenon_H20f zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ].
% 1.69/1.81 apply (zenon_L1973_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ].
% 1.69/1.81 apply (zenon_L279_); trivial.
% 1.69/1.81 apply (zenon_L229_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1974_ *)
% 1.69/1.81 assert (zenon_L1975_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H2e zenon_H23b zenon_H1f4 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_Hb zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.69/1.81 apply (zenon_L46_); trivial.
% 1.69/1.81 apply (zenon_L1974_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1975_ *)
% 1.69/1.81 assert (zenon_L1976_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ].
% 1.69/1.81 apply (zenon_L1105_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ].
% 1.69/1.81 apply (zenon_L545_); trivial.
% 1.69/1.81 apply (zenon_L229_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1976_ *)
% 1.69/1.81 assert (zenon_L1977_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H4d zenon_H109 zenon_H10d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.69/1.81 apply (zenon_L94_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.69/1.81 apply (zenon_L1976_); trivial.
% 1.69/1.81 exact (zenon_H5 zenon_H6).
% 1.69/1.81 (* end of lemma zenon_L1977_ *)
% 1.69/1.81 assert (zenon_L1978_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H5 zenon_H1c4 zenon_H80.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.69/1.81 apply (zenon_L1156_); trivial.
% 1.69/1.81 apply (zenon_L1977_); trivial.
% 1.69/1.81 apply (zenon_L733_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1978_ *)
% 1.69/1.81 assert (zenon_L1979_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H165 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H231 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L343_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.69/1.81 apply (zenon_L372_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.69/1.81 apply (zenon_L396_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.69/1.81 apply (zenon_L1554_); trivial.
% 1.69/1.81 apply (zenon_L1969_); trivial.
% 1.69/1.81 apply (zenon_L1130_); trivial.
% 1.69/1.81 apply (zenon_L1970_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1979_ *)
% 1.69/1.81 assert (zenon_L1980_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L343_); trivial.
% 1.69/1.81 apply (zenon_L1886_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1980_ *)
% 1.69/1.81 assert (zenon_L1981_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_L1980_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1981_ *)
% 1.69/1.81 assert (zenon_L1982_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H3b zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1c0 zenon_H1be zenon_H231 zenon_H13b zenon_H13a zenon_H139 zenon_H42 zenon_H43 zenon_H44.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ].
% 1.69/1.81 apply (zenon_L404_); trivial.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ].
% 1.69/1.81 apply (zenon_L117_); trivial.
% 1.69/1.81 apply (zenon_L19_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1982_ *)
% 1.69/1.81 assert (zenon_L1983_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H231 zenon_Hf zenon_Hd zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1bc zenon_H2e.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L401_); trivial.
% 1.69/1.81 apply (zenon_L1982_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1983_ *)
% 1.69/1.81 assert (zenon_L1984_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L475_); trivial.
% 1.69/1.81 apply (zenon_L1983_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1984_ *)
% 1.69/1.81 assert (zenon_L1985_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H102 zenon_H1 zenon_H246 zenon_H245 zenon_H244 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H231 zenon_H165 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1984_); trivial.
% 1.69/1.81 apply (zenon_L408_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1985_ *)
% 1.69/1.81 assert (zenon_L1986_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H165 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L1981_); trivial.
% 1.69/1.81 apply (zenon_L1130_); trivial.
% 1.69/1.81 apply (zenon_L1970_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1986_ *)
% 1.69/1.81 assert (zenon_L1987_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.69/1.81 apply (zenon_L1285_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.69/1.81 apply (zenon_L943_); trivial.
% 1.69/1.81 apply (zenon_L1905_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1987_ *)
% 1.69/1.81 assert (zenon_L1988_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H5 zenon_H1c2 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L1739_); trivial.
% 1.69/1.81 apply (zenon_L1239_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1988_ *)
% 1.69/1.81 assert (zenon_L1989_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.69/1.81 apply (zenon_L1100_); trivial.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.69/1.81 apply (zenon_L676_); trivial.
% 1.69/1.81 apply (zenon_L866_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1989_ *)
% 1.69/1.81 assert (zenon_L1990_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.81 apply (zenon_L1273_); trivial.
% 1.69/1.81 apply (zenon_L1917_); trivial.
% 1.69/1.81 (* end of lemma zenon_L1990_ *)
% 1.69/1.81 assert (zenon_L1991_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.69/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.69/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.69/1.81 apply (zenon_L1273_); trivial.
% 1.69/1.81 apply (zenon_L1923_); trivial.
% 1.72/1.81 (* end of lemma zenon_L1991_ *)
% 1.72/1.81 assert (zenon_L1992_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.72/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.81 apply (zenon_L905_); trivial.
% 1.72/1.81 apply (zenon_L1991_); trivial.
% 1.72/1.81 (* end of lemma zenon_L1992_ *)
% 1.72/1.81 assert (zenon_L1993_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.72/1.81 do 0 intro. intros zenon_H124 zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.72/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.81 apply (zenon_L155_); trivial.
% 1.72/1.81 apply (zenon_L500_); trivial.
% 1.72/1.81 (* end of lemma zenon_L1993_ *)
% 1.72/1.81 assert (zenon_L1994_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.72/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.72/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.81 apply (zenon_L1285_); trivial.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.81 apply (zenon_L1993_); trivial.
% 1.72/1.81 apply (zenon_L1925_); trivial.
% 1.72/1.81 (* end of lemma zenon_L1994_ *)
% 1.72/1.81 assert (zenon_L1995_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.72/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.72/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.72/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.81 apply (zenon_L1273_); trivial.
% 1.72/1.81 apply (zenon_L1929_); trivial.
% 1.72/1.81 (* end of lemma zenon_L1995_ *)
% 1.72/1.81 assert (zenon_L1996_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L1273_); trivial.
% 1.72/1.82 apply (zenon_L1931_); trivial.
% 1.72/1.82 (* end of lemma zenon_L1996_ *)
% 1.72/1.82 assert (zenon_L1997_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L905_); trivial.
% 1.72/1.82 apply (zenon_L1996_); trivial.
% 1.72/1.82 (* end of lemma zenon_L1997_ *)
% 1.72/1.82 assert (zenon_L1998_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1285_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L943_); trivial.
% 1.72/1.82 apply (zenon_L1932_); trivial.
% 1.72/1.82 (* end of lemma zenon_L1998_ *)
% 1.72/1.82 assert (zenon_L1999_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H1c4 zenon_H7e zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_H1bc zenon_H8c zenon_H54 zenon_H185 zenon_H86 zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H40 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1ca.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1993_); trivial.
% 1.72/1.82 apply (zenon_L1995_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1993_); trivial.
% 1.72/1.82 apply (zenon_L1996_); trivial.
% 1.72/1.82 apply (zenon_L1998_); trivial.
% 1.72/1.82 (* end of lemma zenon_L1999_ *)
% 1.72/1.82 assert (zenon_L2000_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H187 zenon_H138 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H185 zenon_H86 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1174_); trivial.
% 1.72/1.82 apply (zenon_L1240_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2000_ *)
% 1.72/1.82 assert (zenon_L2001_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1158_); trivial.
% 1.72/1.82 apply (zenon_L1240_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2001_ *)
% 1.72/1.82 assert (zenon_L2002_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1911_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L1871_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2002_ *)
% 1.72/1.82 assert (zenon_L2003_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H40 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L155_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L26_); trivial.
% 1.72/1.82 apply (zenon_L2002_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2003_ *)
% 1.72/1.82 assert (zenon_L2004_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2f0 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L498_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L950_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L1871_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2004_ *)
% 1.72/1.82 assert (zenon_L2005_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H40 zenon_H2f0 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L155_); trivial.
% 1.72/1.82 apply (zenon_L2004_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2005_ *)
% 1.72/1.82 assert (zenon_L2006_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H2f0 zenon_H40 zenon_H124.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L2005_); trivial.
% 1.72/1.82 apply (zenon_L555_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2006_ *)
% 1.72/1.82 assert (zenon_L2007_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp28)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_Hb zenon_H28c zenon_H28d zenon_H28e zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.72/1.82 apply (zenon_L1738_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.72/1.82 apply (zenon_L1943_); trivial.
% 1.72/1.82 exact (zenon_H5 zenon_H6).
% 1.72/1.82 (* end of lemma zenon_L2007_ *)
% 1.72/1.82 assert (zenon_L2008_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_Hc2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.72/1.82 apply (zenon_L1249_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.72/1.82 apply (zenon_L1738_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.72/1.82 apply (zenon_L371_); trivial.
% 1.72/1.82 exact (zenon_H5 zenon_H6).
% 1.72/1.82 apply (zenon_L2007_); trivial.
% 1.72/1.82 apply (zenon_L1239_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2008_ *)
% 1.72/1.82 assert (zenon_L2009_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_H2c1 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H4d zenon_H50 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H124 zenon_H138.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1288_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L1273_); trivial.
% 1.72/1.82 apply (zenon_L1955_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1288_); trivial.
% 1.72/1.82 apply (zenon_L1991_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2009_ *)
% 1.72/1.82 assert (zenon_L2010_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H23b zenon_H2e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L1975_); trivial.
% 1.72/1.82 apply (zenon_L1183_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2010_ *)
% 1.72/1.82 assert (zenon_L2011_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H1be zenon_H1c0 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H23b zenon_H1f4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H8c zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H5 zenon_H1c4 zenon_H80.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.72/1.82 apply (zenon_L55_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.72/1.82 apply (zenon_L1100_); trivial.
% 1.72/1.82 apply (zenon_L2010_); trivial.
% 1.72/1.82 apply (zenon_L1167_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2011_ *)
% 1.72/1.82 assert (zenon_L2012_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2e zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.72/1.82 apply (zenon_L46_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.72/1.82 apply (zenon_L383_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.72/1.82 apply (zenon_L1181_); trivial.
% 1.72/1.82 exact (zenon_H5 zenon_H6).
% 1.72/1.82 (* end of lemma zenon_L2012_ *)
% 1.72/1.82 assert (zenon_L2013_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H23b zenon_H2e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L1975_); trivial.
% 1.72/1.82 apply (zenon_L2012_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2013_ *)
% 1.72/1.82 assert (zenon_L2014_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1f4 zenon_H23b zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.72/1.82 apply (zenon_L1100_); trivial.
% 1.72/1.82 apply (zenon_L2013_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2014_ *)
% 1.72/1.82 assert (zenon_L2015_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.72/1.82 apply (zenon_L383_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.72/1.82 apply (zenon_L1115_); trivial.
% 1.72/1.82 exact (zenon_H5 zenon_H6).
% 1.72/1.82 (* end of lemma zenon_L2015_ *)
% 1.72/1.82 assert (zenon_L2016_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H25a zenon_H258 zenon_H264 zenon_H1be zenon_H1c0 zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L26_); trivial.
% 1.72/1.82 apply (zenon_L2015_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2016_ *)
% 1.72/1.82 assert (zenon_L2017_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H1be zenon_H1c0 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H23b zenon_H1f4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H8c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H5 zenon_H1c4 zenon_H54.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L2014_); trivial.
% 1.72/1.82 apply (zenon_L2016_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2017_ *)
% 1.72/1.82 assert (zenon_L2018_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1c4 zenon_H8c zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H124 zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H80 zenon_H2c1 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H18b zenon_H1d9.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_L1876_); trivial.
% 1.72/1.82 apply (zenon_L1179_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L2014_); trivial.
% 1.72/1.82 apply (zenon_L500_); trivial.
% 1.72/1.82 apply (zenon_L555_); trivial.
% 1.72/1.82 apply (zenon_L1179_); trivial.
% 1.72/1.82 apply (zenon_L1192_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2018_ *)
% 1.72/1.82 assert (zenon_L2019_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.72/1.82 apply (zenon_L1880_); trivial.
% 1.72/1.82 apply (zenon_L215_); trivial.
% 1.72/1.82 apply (zenon_L1671_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2019_ *)
% 1.72/1.82 assert (zenon_L2020_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H18b zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H2c1 zenon_H138.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_L1175_); trivial.
% 1.72/1.82 apply (zenon_L1130_); trivial.
% 1.72/1.82 apply (zenon_L1693_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2020_ *)
% 1.72/1.82 assert (zenon_L2021_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H127 zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H125.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ].
% 1.72/1.82 apply (zenon_L1350_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ].
% 1.72/1.82 apply (zenon_L15_); trivial.
% 1.72/1.82 exact (zenon_H125 zenon_H126).
% 1.72/1.82 (* end of lemma zenon_L2021_ *)
% 1.72/1.82 assert (zenon_L2022_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L26_); trivial.
% 1.72/1.82 apply (zenon_L2021_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2022_ *)
% 1.72/1.82 assert (zenon_L2023_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1be zenon_H231 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1459_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L108_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2023_ *)
% 1.72/1.82 assert (zenon_L2024_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L26_); trivial.
% 1.72/1.82 apply (zenon_L2023_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2024_ *)
% 1.72/1.82 assert (zenon_L2025_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1352_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L108_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2025_ *)
% 1.72/1.82 assert (zenon_L2026_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L192_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L108_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2026_ *)
% 1.72/1.82 assert (zenon_L2027_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2e0 zenon_H1dd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.72/1.82 apply (zenon_L1389_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.72/1.82 apply (zenon_L161_); trivial.
% 1.72/1.82 apply (zenon_L2026_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2027_ *)
% 1.72/1.82 assert (zenon_L2028_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (ndr1_0) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1c4 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H12c zenon_H12b zenon_H12a zenon_H12 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2f0 zenon_H5.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.72/1.82 apply (zenon_L1363_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1362_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L108_); trivial.
% 1.72/1.82 exact (zenon_H5 zenon_H6).
% 1.72/1.82 (* end of lemma zenon_L2028_ *)
% 1.72/1.82 assert (zenon_L2029_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H2e0 zenon_H1dd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1c4 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_H2f0 zenon_H5.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.72/1.82 apply (zenon_L1389_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.72/1.82 apply (zenon_L161_); trivial.
% 1.72/1.82 apply (zenon_L2028_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2029_ *)
% 1.72/1.82 assert (zenon_L2030_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H2e0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H16e zenon_He4.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.72/1.82 apply (zenon_L1389_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.72/1.82 apply (zenon_L161_); trivial.
% 1.72/1.82 apply (zenon_L148_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2030_ *)
% 1.72/1.82 assert (zenon_L2031_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L223_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L108_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2031_ *)
% 1.72/1.82 assert (zenon_L2032_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H119 zenon_H155 zenon_H16e zenon_H1d9 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He4 zenon_He6 zenon_H50 zenon_H54 zenon_H2e zenon_Hf zenon_H1e2 zenon_H2e0 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H231 zenon_H1c0 zenon_H59 zenon_H55 zenon_Haa zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40 zenon_H20b.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L2022_); trivial.
% 1.72/1.82 apply (zenon_L2024_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L2022_); trivial.
% 1.72/1.82 apply (zenon_L2025_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1436_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L1439_); trivial.
% 1.72/1.82 apply (zenon_L2023_); trivial.
% 1.72/1.82 apply (zenon_L1361_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1436_); trivial.
% 1.72/1.82 apply (zenon_L2025_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1436_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.72/1.82 apply (zenon_L1439_); trivial.
% 1.72/1.82 apply (zenon_L2027_); trivial.
% 1.72/1.82 apply (zenon_L2029_); trivial.
% 1.72/1.82 apply (zenon_L2030_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1436_); trivial.
% 1.72/1.82 apply (zenon_L2031_); trivial.
% 1.72/1.82 apply (zenon_L1337_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2032_ *)
% 1.72/1.82 assert (zenon_L2033_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.72/1.82 apply (zenon_L1316_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.72/1.82 apply (zenon_L544_); trivial.
% 1.72/1.82 apply (zenon_L148_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2033_ *)
% 1.72/1.82 assert (zenon_L2034_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H16e zenon_He4.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1331_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L2033_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2034_ *)
% 1.72/1.82 assert (zenon_L2035_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.72/1.82 apply (zenon_L1316_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.72/1.82 apply (zenon_L544_); trivial.
% 1.72/1.82 apply (zenon_L175_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2035_ *)
% 1.72/1.82 assert (zenon_L2036_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L1350_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L2035_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2036_ *)
% 1.72/1.82 assert (zenon_L2037_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1e2 zenon_H2e0 zenon_H1ca zenon_H40 zenon_H231 zenon_H1c0 zenon_H59 zenon_Haa zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H20b.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L2036_); trivial.
% 1.72/1.82 apply (zenon_L2024_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L2036_); trivial.
% 1.72/1.82 apply (zenon_L2025_); trivial.
% 1.72/1.82 apply (zenon_L1393_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2037_ *)
% 1.72/1.82 assert (zenon_L2038_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H1ca zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H55 zenon_Hd4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2f0.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.72/1.82 apply (zenon_L396_); trivial.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.72/1.82 apply (zenon_L1554_); trivial.
% 1.72/1.82 apply (zenon_L2035_); trivial.
% 1.72/1.82 apply (zenon_L1671_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2038_ *)
% 1.72/1.82 assert (zenon_L2039_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.72/1.82 apply (zenon_L1360_); trivial.
% 1.72/1.82 apply (zenon_L1634_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2039_ *)
% 1.72/1.82 assert (zenon_L2040_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2e0 zenon_He4 zenon_H16e zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_L493_); trivial.
% 1.72/1.82 apply (zenon_L2030_); trivial.
% 1.72/1.82 (* end of lemma zenon_L2040_ *)
% 1.72/1.82 assert (zenon_L2041_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False).
% 1.72/1.82 do 0 intro. intros zenon_H20b zenon_H16e zenon_H1ca zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_Hd4 zenon_H55 zenon_H2e0 zenon_H27f zenon_H1d9.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.72/1.82 apply (zenon_L1436_); trivial.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.72/1.82 apply (zenon_L1543_); trivial.
% 1.74/1.83 apply (zenon_L1634_); trivial.
% 1.74/1.83 apply (zenon_L2039_); trivial.
% 1.74/1.83 apply (zenon_L1419_); trivial.
% 1.74/1.83 apply (zenon_L2040_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2041_ *)
% 1.74/1.83 assert (zenon_L2042_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H16e zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L421_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L1357_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2042_ *)
% 1.74/1.83 assert (zenon_L2043_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H16e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L1360_); trivial.
% 1.74/1.83 apply (zenon_L2042_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2043_ *)
% 1.74/1.83 assert (zenon_L2044_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H29 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_H1be.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.74/1.83 apply (zenon_L197_); trivial.
% 1.74/1.83 exact (zenon_H1be zenon_H1bf).
% 1.74/1.83 (* end of lemma zenon_L2044_ *)
% 1.74/1.83 assert (zenon_L2045_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H2e zenon_H5 zenon_H1c2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be zenon_H21d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.74/1.83 apply (zenon_L1447_); trivial.
% 1.74/1.83 apply (zenon_L2044_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2045_ *)
% 1.74/1.83 assert (zenon_L2046_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L882_); trivial.
% 1.74/1.83 apply (zenon_L1362_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2046_ *)
% 1.74/1.83 assert (zenon_L2047_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1be.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.74/1.83 apply (zenon_L2046_); trivial.
% 1.74/1.83 exact (zenon_H1be zenon_H1bf).
% 1.74/1.83 (* end of lemma zenon_L2047_ *)
% 1.74/1.83 assert (zenon_L2048_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H1c4 zenon_H1be zenon_H21d zenon_He4 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H16e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2f0 zenon_H5.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.74/1.83 apply (zenon_L2047_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L2046_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L1357_); trivial.
% 1.74/1.83 exact (zenon_H5 zenon_H6).
% 1.74/1.83 (* end of lemma zenon_L2048_ *)
% 1.74/1.83 assert (zenon_L2049_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H16e zenon_He4 zenon_H2f0 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1a4 zenon_H147 zenon_H148 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c2 zenon_H5 zenon_H2e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.83 apply (zenon_L2045_); trivial.
% 1.74/1.83 apply (zenon_L2048_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2049_ *)
% 1.74/1.83 assert (zenon_L2050_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H5 zenon_H1c2 zenon_H119 zenon_H8c zenon_Haa zenon_H1c4 zenon_H124 zenon_H1d9 zenon_H27f zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_He6 zenon_H21d zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H138 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.83 apply (zenon_L1358_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L407_); trivial.
% 1.74/1.83 apply (zenon_L2043_); trivial.
% 1.74/1.83 apply (zenon_L1419_); trivial.
% 1.74/1.83 apply (zenon_L411_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L407_); trivial.
% 1.74/1.83 apply (zenon_L2049_); trivial.
% 1.74/1.83 apply (zenon_L411_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2050_ *)
% 1.74/1.83 assert (zenon_L2051_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Hd2 zenon_H55.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L421_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2035_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2051_ *)
% 1.74/1.83 assert (zenon_L2052_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.83 apply (zenon_L1457_); trivial.
% 1.74/1.83 apply (zenon_L22_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2052_ *)
% 1.74/1.83 assert (zenon_L2053_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H138 zenon_H21d zenon_H1be zenon_H1c0 zenon_H23b zenon_H1dd zenon_H5 zenon_H1c2 zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2f0 zenon_H80 zenon_Hf zenon_H1bc zenon_H133 zenon_H2e zenon_H1ca.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L55_); trivial.
% 1.74/1.83 apply (zenon_L2051_); trivial.
% 1.74/1.83 apply (zenon_L1387_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L2052_); trivial.
% 1.74/1.83 apply (zenon_L1634_); trivial.
% 1.74/1.83 apply (zenon_L1387_); trivial.
% 1.74/1.83 apply (zenon_L1419_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2053_ *)
% 1.74/1.83 assert (zenon_L2054_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_L493_); trivial.
% 1.74/1.83 apply (zenon_L2034_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2054_ *)
% 1.74/1.83 assert (zenon_L2055_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp17)) -> (~(hskp8)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Hd2 zenon_H55.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L1347_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2035_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2055_ *)
% 1.74/1.83 assert (zenon_L2056_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L1347_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L108_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2056_ *)
% 1.74/1.83 assert (zenon_L2057_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_L26_); trivial.
% 1.74/1.83 apply (zenon_L2056_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2057_ *)
% 1.74/1.83 assert (zenon_L2058_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H40 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd4 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H1ca.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_L26_); trivial.
% 1.74/1.83 apply (zenon_L2055_); trivial.
% 1.74/1.83 apply (zenon_L2057_); trivial.
% 1.74/1.83 apply (zenon_L2034_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2058_ *)
% 1.74/1.83 assert (zenon_L2059_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(hskp11)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H129 zenon_H12 zenon_H4d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ].
% 1.74/1.83 apply (zenon_L403_); trivial.
% 1.74/1.83 exact (zenon_H4d zenon_H4e).
% 1.74/1.83 (* end of lemma zenon_L2059_ *)
% 1.74/1.83 assert (zenon_L2060_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(hskp11)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H109 zenon_H10d zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H4d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L94_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2059_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2060_ *)
% 1.74/1.83 assert (zenon_L2061_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H27f zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H21d zenon_H1be zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H12 zenon_H4d zenon_H50 zenon_H54.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L1360_); trivial.
% 1.74/1.83 apply (zenon_L2060_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2061_ *)
% 1.74/1.83 assert (zenon_L2062_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.74/1.83 apply (zenon_L1550_); trivial.
% 1.74/1.83 apply (zenon_L72_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2062_ *)
% 1.74/1.83 assert (zenon_L2063_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H103 zenon_H1be.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.74/1.83 apply (zenon_L2062_); trivial.
% 1.74/1.83 exact (zenon_H1be zenon_H1bf).
% 1.74/1.83 (* end of lemma zenon_L2063_ *)
% 1.74/1.83 assert (zenon_L2064_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H40 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1ad zenon_H1ae zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H264 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H1be zenon_H21d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_L1462_); trivial.
% 1.74/1.83 apply (zenon_L2063_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2064_ *)
% 1.74/1.83 assert (zenon_L2065_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a799))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H1c4 zenon_H138 zenon_H124 zenon_H11e zenon_H103 zenon_H264 zenon_H50 zenon_He6 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H27f zenon_H2f0 zenon_H80 zenon_H21d zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_H1c2 zenon_H5 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.83 apply (zenon_L1358_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L1397_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.83 apply (zenon_L2045_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L2061_); trivial.
% 1.74/1.83 apply (zenon_L2064_); trivial.
% 1.74/1.83 apply (zenon_L411_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L1397_); trivial.
% 1.74/1.83 apply (zenon_L2049_); trivial.
% 1.74/1.83 apply (zenon_L411_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2065_ *)
% 1.74/1.83 assert (zenon_L2066_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H119 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.83 apply (zenon_L418_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L1027_); trivial.
% 1.74/1.83 apply (zenon_L1430_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2066_ *)
% 1.74/1.83 assert (zenon_L2067_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd4 zenon_H2e0 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.83 apply (zenon_L644_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.83 apply (zenon_L1436_); trivial.
% 1.74/1.83 apply (zenon_L1671_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2067_ *)
% 1.74/1.83 assert (zenon_L2068_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H18c zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H16e zenon_He4.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L396_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2033_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2068_ *)
% 1.74/1.83 assert (zenon_L2069_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2f0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H16e zenon_He4 zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H264 zenon_H258 zenon_H25a zenon_H155.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_L493_); trivial.
% 1.74/1.83 apply (zenon_L2068_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2069_ *)
% 1.74/1.83 assert (zenon_L2070_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L1490_); trivial.
% 1.74/1.83 apply (zenon_L1555_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2070_ *)
% 1.74/1.83 assert (zenon_L2071_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H110 zenon_H111 zenon_H112 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.74/1.83 apply (zenon_L1450_); trivial.
% 1.74/1.83 exact (zenon_H1be zenon_H1bf).
% 1.74/1.83 (* end of lemma zenon_L2071_ *)
% 1.74/1.83 assert (zenon_L2072_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H1dd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.74/1.83 apply (zenon_L1389_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_L2071_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2072_ *)
% 1.74/1.83 assert (zenon_L2073_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H11e zenon_H2e0 zenon_H119 zenon_H1be zenon_H21d zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L2070_); trivial.
% 1.74/1.83 apply (zenon_L2072_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2073_ *)
% 1.74/1.83 assert (zenon_L2074_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_Haa zenon_H1a2 zenon_H1ca zenon_H138 zenon_H11e zenon_H119 zenon_H21d zenon_H54 zenon_H10b zenon_H50 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2e zenon_H1c0 zenon_Hf zenon_H1e2 zenon_Hd4 zenon_H2e0 zenon_H20b zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.83 apply (zenon_L1488_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.83 apply (zenon_L1436_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_L1439_); trivial.
% 1.74/1.83 apply (zenon_L1487_); trivial.
% 1.74/1.83 apply (zenon_L2073_); trivial.
% 1.74/1.83 apply (zenon_L1511_); trivial.
% 1.74/1.83 apply (zenon_L1504_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2074_ *)
% 1.74/1.83 assert (zenon_L2075_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H12 zenon_H245 zenon_H199 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ].
% 1.74/1.83 apply (zenon_L1028_); trivial.
% 1.74/1.83 exact (zenon_H1be zenon_H1bf).
% 1.74/1.83 (* end of lemma zenon_L2075_ *)
% 1.74/1.83 assert (zenon_L2076_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H245 zenon_H55 zenon_H21d zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.74/1.83 apply (zenon_L2075_); trivial.
% 1.74/1.83 apply (zenon_L1497_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2076_ *)
% 1.74/1.83 assert (zenon_L2077_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L1027_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.74/1.83 apply (zenon_L2076_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.74/1.83 apply (zenon_L2075_); trivial.
% 1.74/1.83 apply (zenon_L764_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2077_ *)
% 1.74/1.83 assert (zenon_L2078_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_Haa zenon_H21d zenon_H55 zenon_H245 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H4b zenon_H4d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.74/1.83 apply (zenon_L2076_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_L1534_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2078_ *)
% 1.74/1.83 assert (zenon_L2079_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_Hc2 zenon_H2e0 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H246 zenon_H55 zenon_H7e zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.83 apply (zenon_L1527_); trivial.
% 1.74/1.83 apply (zenon_L2078_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2079_ *)
% 1.74/1.83 assert (zenon_L2080_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e0 zenon_H71 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H246 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_Hb2 zenon_Hb4.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.83 apply (zenon_L58_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.74/1.83 apply (zenon_L2076_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_L1537_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2080_ *)
% 1.74/1.83 assert (zenon_L2081_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H11e zenon_H80 zenon_H71 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1a2 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H1e2 zenon_H4d zenon_H50 zenon_H2e0 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L1027_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L2079_); trivial.
% 1.74/1.83 apply (zenon_L2080_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2081_ *)
% 1.74/1.83 assert (zenon_L2082_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L544_); trivial.
% 1.74/1.83 apply (zenon_L764_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2082_ *)
% 1.74/1.83 assert (zenon_L2083_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H28c zenon_H28e zenon_H28d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.74/1.83 apply (zenon_L169_); trivial.
% 1.74/1.83 apply (zenon_L2082_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2083_ *)
% 1.74/1.83 assert (zenon_L2084_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1a9 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H28c zenon_H28e zenon_H28d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L396_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2083_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2084_ *)
% 1.74/1.83 assert (zenon_L2085_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L544_); trivial.
% 1.74/1.83 apply (zenon_L191_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2085_ *)
% 1.74/1.83 assert (zenon_L2086_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1e2 zenon_H40 zenon_H2f0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H59 zenon_H20b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_L26_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L396_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ].
% 1.74/1.83 apply (zenon_L1316_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ].
% 1.74/1.83 apply (zenon_L2085_); trivial.
% 1.74/1.83 apply (zenon_L657_); trivial.
% 1.74/1.83 apply (zenon_L1511_); trivial.
% 1.74/1.83 apply (zenon_L1700_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2086_ *)
% 1.74/1.83 assert (zenon_L2087_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H41 zenon_H12 zenon_H1e zenon_H129 zenon_H1f zenon_H20.
% 1.74/1.83 generalize (zenon_H41 (a867)). zenon_intro zenon_H2f3.
% 1.74/1.83 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f4 ].
% 1.74/1.83 exact (zenon_H11 zenon_H12).
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H24 | zenon_intro zenon_H275 ].
% 1.74/1.83 exact (zenon_H24 zenon_H1e).
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H276 | zenon_intro zenon_H25 ].
% 1.74/1.83 generalize (zenon_H129 (a867)). zenon_intro zenon_H26f.
% 1.74/1.83 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H11 | zenon_intro zenon_H270 ].
% 1.74/1.83 exact (zenon_H11 zenon_H12).
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ].
% 1.74/1.83 exact (zenon_H276 zenon_H272).
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.74/1.83 exact (zenon_H24 zenon_H1e).
% 1.74/1.83 exact (zenon_H26 zenon_H1f).
% 1.74/1.83 exact (zenon_H25 zenon_H20).
% 1.74/1.83 (* end of lemma zenon_L2087_ *)
% 1.74/1.83 assert (zenon_L2088_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H50 zenon_H20 zenon_H1f zenon_H129 zenon_H1e zenon_H12 zenon_H4b zenon_H4d.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ].
% 1.74/1.83 apply (zenon_L2087_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ].
% 1.74/1.83 exact (zenon_H4b zenon_H4c).
% 1.74/1.83 exact (zenon_H4d zenon_H4e).
% 1.74/1.83 (* end of lemma zenon_L2088_ *)
% 1.74/1.83 assert (zenon_L2089_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H50 zenon_H4b zenon_H4d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L396_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_L2088_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2089_ *)
% 1.74/1.83 assert (zenon_L2090_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H54 zenon_H2e zenon_H2f0 zenon_H4b zenon_H4d zenon_H50 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H3c zenon_H40.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ].
% 1.74/1.83 apply (zenon_L8_); trivial.
% 1.74/1.83 apply (zenon_L2089_); trivial.
% 1.74/1.83 apply (zenon_L17_); trivial.
% 1.74/1.83 apply (zenon_L22_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2090_ *)
% 1.74/1.83 assert (zenon_L2091_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H50 zenon_H4d zenon_H2f0 zenon_H2e zenon_H54.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L2090_); trivial.
% 1.74/1.83 apply (zenon_L427_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2091_ *)
% 1.74/1.83 assert (zenon_L2092_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H21d zenon_H55 zenon_H245 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H28c zenon_H28e zenon_H28d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ].
% 1.74/1.83 apply (zenon_L2076_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_L1503_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2092_ *)
% 1.74/1.83 assert (zenon_L2093_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((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)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H103 zenon_H138 zenon_H124 zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H10b zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40 zenon_H202 zenon_H1ca.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L1667_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.83 apply (zenon_L1829_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L1027_); trivial.
% 1.74/1.83 apply (zenon_L2092_); trivial.
% 1.74/1.83 apply (zenon_L1319_); trivial.
% 1.74/1.83 apply (zenon_L1511_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2093_ *)
% 1.74/1.83 assert (zenon_L2094_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.83 apply (zenon_L1490_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.83 apply (zenon_L1495_); trivial.
% 1.74/1.83 apply (zenon_L1684_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2094_ *)
% 1.74/1.83 assert (zenon_L2095_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Haa zenon_H1a2 zenon_H80 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H10b zenon_H54 zenon_H1f2 zenon_H11e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L2094_); trivial.
% 1.74/1.83 apply (zenon_L255_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.83 apply (zenon_L2094_); trivial.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.83 apply (zenon_L396_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.83 apply (zenon_L1554_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ].
% 1.74/1.83 apply (zenon_L161_); trivial.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ].
% 1.74/1.83 apply (zenon_L2075_); trivial.
% 1.74/1.83 apply (zenon_L2082_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2095_ *)
% 1.74/1.83 assert (zenon_L2096_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False).
% 1.74/1.83 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H50 zenon_H2f0 zenon_H2e zenon_H54 zenon_H11e zenon_H1f2 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1a2 zenon_Haa zenon_H119 zenon_H21d zenon_H124 zenon_H138 zenon_H20b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.83 apply (zenon_L2091_); trivial.
% 1.74/1.83 apply (zenon_L2095_); trivial.
% 1.74/1.83 apply (zenon_L1419_); trivial.
% 1.74/1.83 apply (zenon_L1511_); trivial.
% 1.74/1.83 apply (zenon_L2084_); trivial.
% 1.74/1.83 (* end of lemma zenon_L2096_ *)
% 1.74/1.83 apply NNPP. intro zenon_G.
% 1.74/1.83 apply zenon_G. zenon_intro zenon_H2f5.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f2. zenon_intro zenon_H304.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H255. zenon_intro zenon_H305.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H2a5. zenon_intro zenon_H306.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H2a0. zenon_intro zenon_H307.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1ac. zenon_intro zenon_H308.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H20b. zenon_intro zenon_H309.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1d9. zenon_intro zenon_H30a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H18a. zenon_intro zenon_H30b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H18b. zenon_intro zenon_H30c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1ca. zenon_intro zenon_H30f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H235. zenon_intro zenon_H310.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H138. zenon_intro zenon_H311.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H124. zenon_intro zenon_H312.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H11e. zenon_intro zenon_H313.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H108. zenon_intro zenon_H314.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Hef. zenon_intro zenon_H317.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Hac. zenon_intro zenon_H318.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H80. zenon_intro zenon_H319.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H54. zenon_intro zenon_H31a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H40. zenon_intro zenon_H31b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_Hc2. zenon_intro zenon_H31c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H2e. zenon_intro zenon_H31d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H2e0. zenon_intro zenon_H31e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H2e2. zenon_intro zenon_H31f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H2c1. zenon_intro zenon_H322.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2bf. zenon_intro zenon_H323.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H2bd. zenon_intro zenon_H324.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1c4. zenon_intro zenon_H325.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H102. zenon_intro zenon_H326.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2f0. zenon_intro zenon_H327.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H209. zenon_intro zenon_H328.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H127. zenon_intro zenon_H329.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H1d4. zenon_intro zenon_H32a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H1e2. zenon_intro zenon_H32b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H1a2. zenon_intro zenon_H32c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32e. zenon_intro zenon_H32d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H27f. zenon_intro zenon_H32f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H21d. zenon_intro zenon_H330.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H103. zenon_intro zenon_H331.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Haa. zenon_intro zenon_H332.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H202. zenon_intro zenon_H333.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H165. zenon_intro zenon_H336.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H16e. zenon_intro zenon_H337.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H16f. zenon_intro zenon_H33a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H23b. zenon_intro zenon_H33b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_Hea. zenon_intro zenon_H33c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H33d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H340. zenon_intro zenon_H33f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1d6. zenon_intro zenon_H341.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H155. zenon_intro zenon_H342.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H231. zenon_intro zenon_H343.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H7e. zenon_intro zenon_H344.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H221. zenon_intro zenon_H347.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H71. zenon_intro zenon_H348.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_Hb4. zenon_intro zenon_H349.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H239. zenon_intro zenon_H34c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H22f. zenon_intro zenon_H34d.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H233. zenon_intro zenon_H34e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H185. zenon_intro zenon_H34f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H2a. zenon_intro zenon_H352.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H1c8. zenon_intro zenon_H353.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1bc. zenon_intro zenon_H354.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H119. zenon_intro zenon_H355.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H1c0. zenon_intro zenon_H356.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hd4. zenon_intro zenon_H357.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H1e4. zenon_intro zenon_H35a.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H133. zenon_intro zenon_H35b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H35e.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H360. zenon_intro zenon_H35f.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H1c2. zenon_intro zenon_H361.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_He6. zenon_intro zenon_H362.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H163. zenon_intro zenon_H363.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H365. zenon_intro zenon_H364.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H88. zenon_intro zenon_H366.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H8c. zenon_intro zenon_H367.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H50. zenon_intro zenon_H368.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H369.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H3c. zenon_intro zenon_H36b.
% 1.74/1.83 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H10d. zenon_intro zenon_H36c.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Hf. zenon_intro zenon_H36d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H142. zenon_intro zenon_H36e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H10b. zenon_intro zenon_H36f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H7. zenon_intro zenon_H370.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H372. zenon_intro zenon_H371.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H59. zenon_intro zenon_H373.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H374 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H86 | zenon_intro zenon_H375 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H22d | zenon_intro zenon_H376 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.84 apply (zenon_L4_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.74/1.84 apply (zenon_L39_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.74/1.84 apply (zenon_L54_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_L71_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_L103_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_L115_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_L121_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L132_); trivial.
% 1.74/1.84 apply (zenon_L135_); trivial.
% 1.74/1.84 apply (zenon_L158_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_L172_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L178_); trivial.
% 1.74/1.84 apply (zenon_L179_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L196_); trivial.
% 1.74/1.84 apply (zenon_L206_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L210_); trivial.
% 1.74/1.84 apply (zenon_L206_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L213_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L214_); trivial.
% 1.74/1.84 apply (zenon_L206_); trivial.
% 1.74/1.84 apply (zenon_L221_); trivial.
% 1.74/1.84 apply (zenon_L158_); trivial.
% 1.74/1.84 apply (zenon_L227_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.74/1.84 apply (zenon_L246_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L264_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L265_); trivial.
% 1.74/1.84 apply (zenon_L262_); trivial.
% 1.74/1.84 apply (zenon_L271_); trivial.
% 1.74/1.84 apply (zenon_L278_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L284_); trivial.
% 1.74/1.84 apply (zenon_L291_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L295_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L296_); trivial.
% 1.74/1.84 apply (zenon_L309_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L295_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L315_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L296_); trivial.
% 1.74/1.84 apply (zenon_L323_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L330_); trivial.
% 1.74/1.84 apply (zenon_L339_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_L172_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L369_); trivial.
% 1.74/1.84 apply (zenon_L339_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L379_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L381_); trivial.
% 1.74/1.84 apply (zenon_L262_); trivial.
% 1.74/1.84 apply (zenon_L277_); trivial.
% 1.74/1.84 apply (zenon_L278_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L369_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L392_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L395_); trivial.
% 1.74/1.84 apply (zenon_L352_); trivial.
% 1.74/1.84 apply (zenon_L391_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L271_); trivial.
% 1.74/1.84 apply (zenon_L227_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_L412_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L431_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L466_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L482_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L196_); trivial.
% 1.74/1.84 apply (zenon_L489_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L210_); trivial.
% 1.74/1.84 apply (zenon_L489_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L472_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L490_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L471_); trivial.
% 1.74/1.84 apply (zenon_L220_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L492_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L214_); trivial.
% 1.74/1.84 apply (zenon_L491_); trivial.
% 1.74/1.84 apply (zenon_L221_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L495_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L501_); trivial.
% 1.74/1.84 apply (zenon_L503_); trivial.
% 1.74/1.84 apply (zenon_L241_); trivial.
% 1.74/1.84 apply (zenon_L514_); trivial.
% 1.74/1.84 apply (zenon_L515_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L516_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L466_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L519_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L525_); trivial.
% 1.74/1.84 apply (zenon_L526_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L519_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L216_); trivial.
% 1.74/1.84 apply (zenon_L526_); trivial.
% 1.74/1.84 apply (zenon_L534_); trivial.
% 1.74/1.84 apply (zenon_L548_); trivial.
% 1.74/1.84 apply (zenon_L557_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L578_); trivial.
% 1.74/1.84 apply (zenon_L466_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L578_); trivial.
% 1.74/1.84 apply (zenon_L599_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L516_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L604_); trivial.
% 1.74/1.84 apply (zenon_L262_); trivial.
% 1.74/1.84 apply (zenon_L449_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L608_); trivial.
% 1.74/1.84 apply (zenon_L616_); trivial.
% 1.74/1.84 apply (zenon_L620_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L624_); trivial.
% 1.74/1.84 apply (zenon_L625_); trivial.
% 1.74/1.84 apply (zenon_L626_); trivial.
% 1.74/1.84 apply (zenon_L627_); trivial.
% 1.74/1.84 apply (zenon_L628_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L392_); trivial.
% 1.74/1.84 apply (zenon_L616_); trivial.
% 1.74/1.84 apply (zenon_L620_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L392_); trivial.
% 1.74/1.84 apply (zenon_L625_); trivial.
% 1.74/1.84 apply (zenon_L626_); trivial.
% 1.74/1.84 apply (zenon_L534_); trivial.
% 1.74/1.84 apply (zenon_L547_); trivial.
% 1.74/1.84 apply (zenon_L630_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L643_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L639_); trivial.
% 1.74/1.84 apply (zenon_L503_); trivial.
% 1.74/1.84 apply (zenon_L241_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L505_); trivial.
% 1.74/1.84 apply (zenon_L645_); trivial.
% 1.74/1.84 apply (zenon_L512_); trivial.
% 1.74/1.84 apply (zenon_L156_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L643_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_L630_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L636_); trivial.
% 1.74/1.84 apply (zenon_L262_); trivial.
% 1.74/1.84 apply (zenon_L495_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L652_); trivial.
% 1.74/1.84 apply (zenon_L616_); trivial.
% 1.74/1.84 apply (zenon_L620_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L652_); trivial.
% 1.74/1.84 apply (zenon_L625_); trivial.
% 1.74/1.84 apply (zenon_L626_); trivial.
% 1.74/1.84 apply (zenon_L534_); trivial.
% 1.74/1.84 apply (zenon_L577_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L653_); trivial.
% 1.74/1.84 apply (zenon_L656_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_L689_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L694_); trivial.
% 1.74/1.84 apply (zenon_L699_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L704_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L722_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_L689_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L694_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L659_); trivial.
% 1.74/1.84 apply (zenon_L365_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L723_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L738_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L743_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L687_); trivial.
% 1.74/1.84 apply (zenon_L744_); trivial.
% 1.74/1.84 apply (zenon_L749_); trivial.
% 1.74/1.84 apply (zenon_L750_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L754_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L757_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L702_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L762_); trivial.
% 1.74/1.84 apply (zenon_L454_); trivial.
% 1.74/1.84 apply (zenon_L766_); trivial.
% 1.74/1.84 apply (zenon_L768_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L276_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L275_); trivial.
% 1.74/1.84 apply (zenon_L769_); trivial.
% 1.74/1.84 apply (zenon_L772_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L171_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L743_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L773_); trivial.
% 1.74/1.84 apply (zenon_L774_); trivial.
% 1.74/1.84 apply (zenon_L750_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L754_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L777_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L782_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L659_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L698_); trivial.
% 1.74/1.84 apply (zenon_L781_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L783_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L703_); trivial.
% 1.74/1.84 apply (zenon_L683_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L784_); trivial.
% 1.74/1.84 apply (zenon_L699_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L704_); trivial.
% 1.74/1.84 apply (zenon_L787_); trivial.
% 1.74/1.84 apply (zenon_L722_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L782_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L659_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L353_); trivial.
% 1.74/1.84 apply (zenon_L671_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L783_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L353_); trivial.
% 1.74/1.84 apply (zenon_L683_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L784_); trivial.
% 1.74/1.84 apply (zenon_L366_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L723_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L738_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L379_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L801_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L799_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L805_); trivial.
% 1.74/1.84 apply (zenon_L327_); trivial.
% 1.74/1.84 apply (zenon_L808_); trivial.
% 1.74/1.84 apply (zenon_L812_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L817_); trivial.
% 1.74/1.84 apply (zenon_L377_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L830_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L838_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L841_); trivial.
% 1.74/1.84 apply (zenon_L811_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L838_); trivial.
% 1.74/1.84 apply (zenon_L812_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L171_); trivial.
% 1.74/1.84 apply (zenon_L850_); trivial.
% 1.74/1.84 apply (zenon_L777_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_L854_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_L854_); trivial.
% 1.74/1.84 apply (zenon_L863_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L893_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L902_); trivial.
% 1.74/1.84 apply (zenon_L906_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_L918_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L927_); trivial.
% 1.74/1.84 apply (zenon_L906_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L929_); trivial.
% 1.74/1.84 apply (zenon_L906_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L931_); trivial.
% 1.74/1.84 apply (zenon_L932_); trivial.
% 1.74/1.84 apply (zenon_L449_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L939_); trivial.
% 1.74/1.84 apply (zenon_L932_); trivial.
% 1.74/1.84 apply (zenon_L878_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L493_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L732_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L770_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L218_); trivial.
% 1.74/1.84 apply (zenon_L940_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L893_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L942_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L943_); trivial.
% 1.74/1.84 apply (zenon_L503_); trivial.
% 1.74/1.84 apply (zenon_L241_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L947_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L954_); trivial.
% 1.74/1.84 apply (zenon_L912_); trivial.
% 1.74/1.84 apply (zenon_L955_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L961_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L753_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L867_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L868_); trivial.
% 1.74/1.84 apply (zenon_L932_); trivial.
% 1.74/1.84 apply (zenon_L575_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L967_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L970_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L977_); trivial.
% 1.74/1.84 apply (zenon_L932_); trivial.
% 1.74/1.84 apply (zenon_L912_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L979_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L978_); trivial.
% 1.74/1.84 apply (zenon_L772_); trivial.
% 1.74/1.84 apply (zenon_L533_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L961_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L753_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L867_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L868_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L732_); trivial.
% 1.74/1.84 apply (zenon_L980_); trivial.
% 1.74/1.84 apply (zenon_L575_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L849_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L982_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L993_); trivial.
% 1.74/1.84 apply (zenon_L994_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_L997_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1007_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1011_); trivial.
% 1.74/1.84 apply (zenon_L1013_); trivial.
% 1.74/1.84 apply (zenon_L449_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L939_); trivial.
% 1.74/1.84 apply (zenon_L1013_); trivial.
% 1.74/1.84 apply (zenon_L912_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L493_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L494_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1017_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L770_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L218_); trivial.
% 1.74/1.84 apply (zenon_L1016_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L982_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L629_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_L918_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L629_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1020_); trivial.
% 1.74/1.84 apply (zenon_L449_); trivial.
% 1.74/1.84 apply (zenon_L955_); trivial.
% 1.74/1.84 apply (zenon_L1021_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L982_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L967_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L966_); trivial.
% 1.74/1.84 apply (zenon_L1025_); trivial.
% 1.74/1.84 apply (zenon_L850_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_L1050_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_L1050_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L185_); trivial.
% 1.74/1.84 apply (zenon_L816_); trivial.
% 1.74/1.84 apply (zenon_L1051_); trivial.
% 1.74/1.84 apply (zenon_L377_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1058_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1059_); trivial.
% 1.74/1.84 apply (zenon_L377_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1060_); trivial.
% 1.74/1.84 apply (zenon_L577_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L455_); trivial.
% 1.74/1.84 apply (zenon_L1051_); trivial.
% 1.74/1.84 apply (zenon_L1065_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1058_); trivial.
% 1.74/1.84 apply (zenon_L1066_); trivial.
% 1.74/1.84 apply (zenon_L860_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.84 apply (zenon_L452_); trivial.
% 1.74/1.84 apply (zenon_L170_); trivial.
% 1.74/1.84 apply (zenon_L1051_); trivial.
% 1.74/1.84 apply (zenon_L1070_); trivial.
% 1.74/1.84 apply (zenon_L1071_); trivial.
% 1.74/1.84 apply (zenon_L1074_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1077_); trivial.
% 1.74/1.84 apply (zenon_L1080_); trivial.
% 1.74/1.84 apply (zenon_L860_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1086_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L653_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L655_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L654_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1076_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L155_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L862_); trivial.
% 1.74/1.84 apply (zenon_L846_); trivial.
% 1.74/1.84 apply (zenon_L1012_); trivial.
% 1.74/1.84 apply (zenon_L878_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L494_); trivial.
% 1.74/1.84 apply (zenon_L1088_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H381.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2b4. zenon_intro zenon_H382.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2b5. zenon_intro zenon_H2b6.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_L1090_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1104_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1119_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L477_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1123_); trivial.
% 1.74/1.84 apply (zenon_L1118_); trivial.
% 1.74/1.84 apply (zenon_L1125_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L1134_); trivial.
% 1.74/1.84 apply (zenon_L1142_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1155_); trivial.
% 1.74/1.84 apply (zenon_L1162_); trivial.
% 1.74/1.84 apply (zenon_L1166_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1104_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1170_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1171_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L283_); trivial.
% 1.74/1.84 apply (zenon_L1173_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1174_); trivial.
% 1.74/1.84 apply (zenon_L1124_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L1134_); trivial.
% 1.74/1.84 apply (zenon_L548_); trivial.
% 1.74/1.84 apply (zenon_L557_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1099_); trivial.
% 1.74/1.84 apply (zenon_L1179_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1119_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L477_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1186_); trivial.
% 1.74/1.84 apply (zenon_L1118_); trivial.
% 1.74/1.84 apply (zenon_L1125_); trivial.
% 1.74/1.84 apply (zenon_L1179_); trivial.
% 1.74/1.84 apply (zenon_L495_); trivial.
% 1.74/1.84 apply (zenon_L1142_); trivial.
% 1.74/1.84 apply (zenon_L1194_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1200_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1170_); trivial.
% 1.74/1.84 apply (zenon_L1210_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1211_); trivial.
% 1.74/1.84 apply (zenon_L1213_); trivial.
% 1.74/1.84 apply (zenon_L572_); trivial.
% 1.74/1.84 apply (zenon_L1085_); trivial.
% 1.74/1.84 apply (zenon_L1142_); trivial.
% 1.74/1.84 apply (zenon_L1216_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1220_); trivial.
% 1.74/1.84 apply (zenon_L642_); trivial.
% 1.74/1.84 apply (zenon_L1222_); trivial.
% 1.74/1.84 apply (zenon_L1225_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1227_); trivial.
% 1.74/1.84 apply (zenon_L642_); trivial.
% 1.74/1.84 apply (zenon_L1228_); trivial.
% 1.74/1.84 apply (zenon_L1225_); trivial.
% 1.74/1.84 apply (zenon_L1229_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1200_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L652_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1126_); trivial.
% 1.74/1.84 apply (zenon_L1204_); trivial.
% 1.74/1.84 apply (zenon_L391_); trivial.
% 1.74/1.84 apply (zenon_L1210_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L652_); trivial.
% 1.74/1.84 apply (zenon_L1212_); trivial.
% 1.74/1.84 apply (zenon_L1213_); trivial.
% 1.74/1.84 apply (zenon_L1179_); trivial.
% 1.74/1.84 apply (zenon_L1134_); trivial.
% 1.74/1.84 apply (zenon_L1216_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1235_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1238_); trivial.
% 1.74/1.84 apply (zenon_L1240_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L722_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1244_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L1248_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1253_); trivial.
% 1.74/1.84 apply (zenon_L754_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1253_); trivial.
% 1.74/1.84 apply (zenon_L171_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1244_); trivial.
% 1.74/1.84 apply (zenon_L754_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L1257_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1235_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1238_); trivial.
% 1.74/1.84 apply (zenon_L1258_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L717_); trivial.
% 1.74/1.84 apply (zenon_L722_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1244_); trivial.
% 1.74/1.84 apply (zenon_L787_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L1262_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L379_); trivial.
% 1.74/1.84 apply (zenon_L1264_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L817_); trivial.
% 1.74/1.84 apply (zenon_L1258_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L830_); trivial.
% 1.74/1.84 apply (zenon_L1265_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L838_); trivial.
% 1.74/1.84 apply (zenon_L1266_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L1269_); trivial.
% 1.74/1.84 apply (zenon_L1270_); trivial.
% 1.74/1.84 apply (zenon_L751_); trivial.
% 1.74/1.84 apply (zenon_L171_); trivial.
% 1.74/1.84 apply (zenon_L850_); trivial.
% 1.74/1.84 apply (zenon_L777_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_L397_); trivial.
% 1.74/1.84 apply (zenon_L1229_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_L397_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1272_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1275_); trivial.
% 1.74/1.84 apply (zenon_L1276_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_L918_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1278_); trivial.
% 1.74/1.84 apply (zenon_L1276_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_L1261_); trivial.
% 1.74/1.84 apply (zenon_L1279_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1272_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1155_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1223_); trivial.
% 1.74/1.84 apply (zenon_L1261_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1272_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L967_); trivial.
% 1.74/1.84 apply (zenon_L1287_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1272_); trivial.
% 1.74/1.84 apply (zenon_L849_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1272_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1275_); trivial.
% 1.74/1.84 apply (zenon_L994_); trivial.
% 1.74/1.84 apply (zenon_L928_); trivial.
% 1.74/1.84 apply (zenon_L915_); trivial.
% 1.74/1.84 apply (zenon_L918_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1007_); trivial.
% 1.74/1.84 apply (zenon_L1179_); trivial.
% 1.74/1.84 apply (zenon_L1192_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1291_); trivial.
% 1.74/1.84 apply (zenon_L1194_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1296_); trivial.
% 1.74/1.84 apply (zenon_L850_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1232_); trivial.
% 1.74/1.84 apply (zenon_L1038_); trivial.
% 1.74/1.84 apply (zenon_L642_); trivial.
% 1.74/1.84 apply (zenon_L1298_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_L1047_); trivial.
% 1.74/1.84 apply (zenon_L1299_); trivial.
% 1.74/1.84 apply (zenon_L1225_); trivial.
% 1.74/1.84 apply (zenon_L960_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1227_); trivial.
% 1.74/1.84 apply (zenon_L1300_); trivial.
% 1.74/1.84 apply (zenon_L1301_); trivial.
% 1.74/1.84 apply (zenon_L1298_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1046_); trivial.
% 1.74/1.84 apply (zenon_L1300_); trivial.
% 1.74/1.84 apply (zenon_L1301_); trivial.
% 1.74/1.84 apply (zenon_L1192_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1187_); trivial.
% 1.74/1.84 apply (zenon_L1224_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1307_); trivial.
% 1.74/1.84 apply (zenon_L1308_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1058_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1310_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1060_); trivial.
% 1.74/1.84 apply (zenon_L1311_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1232_); trivial.
% 1.74/1.84 apply (zenon_L1308_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1058_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1313_); trivial.
% 1.74/1.84 apply (zenon_L1055_); trivial.
% 1.74/1.84 apply (zenon_L1060_); trivial.
% 1.74/1.84 apply (zenon_L1298_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1307_); trivial.
% 1.74/1.84 apply (zenon_L1070_); trivial.
% 1.74/1.84 apply (zenon_L1071_); trivial.
% 1.74/1.84 apply (zenon_L1074_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1310_); trivial.
% 1.74/1.84 apply (zenon_L1079_); trivial.
% 1.74/1.84 apply (zenon_L1080_); trivial.
% 1.74/1.84 apply (zenon_L1192_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1086_); trivial.
% 1.74/1.84 apply (zenon_L1216_); trivial.
% 1.74/1.84 apply (zenon_L1217_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H383.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2cd. zenon_intro zenon_H384.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H2cb. zenon_intro zenon_H2cc.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1338_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L178_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L173_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_L1343_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L106_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L1341_); trivial.
% 1.74/1.84 apply (zenon_L37_); trivial.
% 1.74/1.84 apply (zenon_L112_); trivial.
% 1.74/1.84 apply (zenon_L114_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L1346_); trivial.
% 1.74/1.84 apply (zenon_L1356_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L1367_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L264_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_L1373_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1375_); trivial.
% 1.74/1.84 apply (zenon_L1378_); trivial.
% 1.74/1.84 apply (zenon_L1381_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L284_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1383_); trivial.
% 1.74/1.84 apply (zenon_L1388_); trivial.
% 1.74/1.84 apply (zenon_L1355_); trivial.
% 1.74/1.84 apply (zenon_L1393_); trivial.
% 1.74/1.84 apply (zenon_L1399_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1409_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1410_); trivial.
% 1.74/1.84 apply (zenon_L1356_); trivial.
% 1.74/1.84 apply (zenon_L729_); trivial.
% 1.74/1.84 apply (zenon_L1367_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1411_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L1410_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L315_); trivial.
% 1.74/1.84 apply (zenon_L1412_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L395_); trivial.
% 1.74/1.84 apply (zenon_L1384_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L395_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L1342_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L343_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.84 apply (zenon_L355_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.74/1.84 apply (zenon_L1414_); trivial.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.74/1.84 apply (zenon_L344_); trivial.
% 1.74/1.84 exact (zenon_H5 zenon_H6).
% 1.74/1.84 apply (zenon_L1415_); trivial.
% 1.74/1.84 apply (zenon_L1417_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L1404_); trivial.
% 1.74/1.84 apply (zenon_L1355_); trivial.
% 1.74/1.84 apply (zenon_L1393_); trivial.
% 1.74/1.84 apply (zenon_L1399_); trivial.
% 1.74/1.84 apply (zenon_L412_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1434_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1435_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1436_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_L93_); trivial.
% 1.74/1.84 apply (zenon_L1438_); trivial.
% 1.74/1.84 apply (zenon_L1442_); trivial.
% 1.74/1.84 apply (zenon_L1444_); trivial.
% 1.74/1.84 apply (zenon_L1419_); trivial.
% 1.74/1.84 apply (zenon_L1445_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1436_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L904_); trivial.
% 1.74/1.84 apply (zenon_L1348_); trivial.
% 1.74/1.84 apply (zenon_L1444_); trivial.
% 1.74/1.84 apply (zenon_L1337_); trivial.
% 1.74/1.84 apply (zenon_L1432_); trivial.
% 1.74/1.84 apply (zenon_L1452_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1454_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L518_); trivial.
% 1.74/1.84 apply (zenon_L1387_); trivial.
% 1.74/1.84 apply (zenon_L1419_); trivial.
% 1.74/1.84 apply (zenon_L1445_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1383_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1351_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L1457_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L1458_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.74/1.84 apply (zenon_L1459_); trivial.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.74/1.84 apply (zenon_L460_); trivial.
% 1.74/1.84 exact (zenon_H5 zenon_H6).
% 1.74/1.84 apply (zenon_L1387_); trivial.
% 1.74/1.84 apply (zenon_L1445_); trivial.
% 1.74/1.84 apply (zenon_L1393_); trivial.
% 1.74/1.84 apply (zenon_L1464_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1467_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L1435_); trivial.
% 1.74/1.84 apply (zenon_L1474_); trivial.
% 1.74/1.84 apply (zenon_L1476_); trivial.
% 1.74/1.84 apply (zenon_L1486_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1434_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L639_); trivial.
% 1.74/1.84 apply (zenon_L1444_); trivial.
% 1.74/1.84 apply (zenon_L1432_); trivial.
% 1.74/1.84 apply (zenon_L1452_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1434_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_L1474_); trivial.
% 1.74/1.84 apply (zenon_L1476_); trivial.
% 1.74/1.84 apply (zenon_L1486_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_L1505_); trivial.
% 1.74/1.84 apply (zenon_L1510_); trivial.
% 1.74/1.84 apply (zenon_L1512_); trivial.
% 1.74/1.84 apply (zenon_L1520_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_L397_); trivial.
% 1.74/1.84 apply (zenon_L1512_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_L1524_); trivial.
% 1.74/1.84 apply (zenon_L1525_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L1526_); trivial.
% 1.74/1.84 apply (zenon_L22_); trivial.
% 1.74/1.84 apply (zenon_L1493_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1521_); trivial.
% 1.74/1.84 apply (zenon_L1037_); trivial.
% 1.74/1.84 apply (zenon_L1319_); trivial.
% 1.74/1.84 apply (zenon_L1511_); trivial.
% 1.74/1.84 apply (zenon_L1504_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_L1523_); trivial.
% 1.74/1.84 apply (zenon_L1512_); trivial.
% 1.74/1.84 apply (zenon_L646_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_L1542_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_L644_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1436_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_L1543_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L727_); trivial.
% 1.74/1.84 apply (zenon_L1470_); trivial.
% 1.74/1.84 apply (zenon_L1442_); trivial.
% 1.74/1.84 apply (zenon_L500_); trivial.
% 1.74/1.84 apply (zenon_L1444_); trivial.
% 1.74/1.84 apply (zenon_L1473_); trivial.
% 1.74/1.84 apply (zenon_L1419_); trivial.
% 1.74/1.84 apply (zenon_L1511_); trivial.
% 1.74/1.84 apply (zenon_L1504_); trivial.
% 1.74/1.84 apply (zenon_L1512_); trivial.
% 1.74/1.84 apply (zenon_L1553_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H12. zenon_intro zenon_H385.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2e8. zenon_intro zenon_H386.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2e9. zenon_intro zenon_H2e7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H86 | zenon_intro zenon_H375 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H22d | zenon_intro zenon_H376 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L295_); trivial.
% 1.74/1.84 apply (zenon_L1557_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1561_); trivial.
% 1.74/1.84 apply (zenon_L158_); trivial.
% 1.74/1.84 apply (zenon_L1567_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L178_); trivial.
% 1.74/1.84 apply (zenon_L1557_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1569_); trivial.
% 1.74/1.84 apply (zenon_L212_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1568_); trivial.
% 1.74/1.84 apply (zenon_L1574_); trivial.
% 1.74/1.84 apply (zenon_L1575_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L213_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L155_); trivial.
% 1.74/1.84 apply (zenon_L1574_); trivial.
% 1.74/1.84 apply (zenon_L1575_); trivial.
% 1.74/1.84 apply (zenon_L1578_); trivial.
% 1.74/1.84 apply (zenon_L158_); trivial.
% 1.74/1.84 apply (zenon_L227_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L264_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1561_); trivial.
% 1.74/1.84 apply (zenon_L271_); trivial.
% 1.74/1.84 apply (zenon_L1567_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1581_); trivial.
% 1.74/1.84 apply (zenon_L1588_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L1580_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L1556_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.84 apply (zenon_L4_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.74/1.84 apply (zenon_L1589_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_L55_); trivial.
% 1.74/1.84 apply (zenon_L1591_); trivial.
% 1.74/1.84 apply (zenon_L1594_); trivial.
% 1.74/1.84 apply (zenon_L1596_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1597_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L155_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L1598_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.84 apply (zenon_L4_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.74/1.84 apply (zenon_L1589_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.84 apply (zenon_L23_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L14_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.84 apply (zenon_L621_); trivial.
% 1.74/1.84 apply (zenon_L1601_); trivial.
% 1.74/1.84 apply (zenon_L1594_); trivial.
% 1.74/1.84 apply (zenon_L1596_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L271_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1581_); trivial.
% 1.74/1.84 apply (zenon_L1602_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1603_); trivial.
% 1.74/1.84 apply (zenon_L1604_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1597_); trivial.
% 1.74/1.84 apply (zenon_L368_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L271_); trivial.
% 1.74/1.84 apply (zenon_L291_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1605_); trivial.
% 1.74/1.84 apply (zenon_L1611_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1612_); trivial.
% 1.74/1.84 apply (zenon_L1611_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1605_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ].
% 1.74/1.84 apply (zenon_L315_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1610_); trivial.
% 1.74/1.84 apply (zenon_L323_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L1612_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1610_); trivial.
% 1.74/1.84 apply (zenon_L367_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_L1617_); trivial.
% 1.74/1.84 apply (zenon_L1567_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_L369_); trivial.
% 1.74/1.84 apply (zenon_L1617_); trivial.
% 1.74/1.84 apply (zenon_L242_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L379_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L381_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1610_); trivial.
% 1.74/1.84 apply (zenon_L377_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L379_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L381_); trivial.
% 1.74/1.84 apply (zenon_L1618_); trivial.
% 1.74/1.84 apply (zenon_L1615_); trivial.
% 1.74/1.84 apply (zenon_L1619_); trivial.
% 1.74/1.84 apply (zenon_L1622_); trivial.
% 1.74/1.84 apply (zenon_L1567_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L1623_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L624_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L155_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.74/1.84 apply (zenon_L611_); trivial.
% 1.74/1.84 apply (zenon_L1624_); trivial.
% 1.74/1.84 apply (zenon_L391_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_L1623_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L624_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L155_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ].
% 1.74/1.84 apply (zenon_L319_); trivial.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ].
% 1.74/1.84 apply (zenon_L545_); trivial.
% 1.74/1.84 apply (zenon_L361_); trivial.
% 1.74/1.84 apply (zenon_L153_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1630_); trivial.
% 1.74/1.84 apply (zenon_L1631_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L224_); trivial.
% 1.74/1.84 apply (zenon_L1631_); trivial.
% 1.74/1.84 apply (zenon_L1632_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_L397_); trivial.
% 1.74/1.84 apply (zenon_L1633_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L424_); trivial.
% 1.74/1.84 apply (zenon_L1635_); trivial.
% 1.74/1.84 apply (zenon_L1640_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1645_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1569_); trivial.
% 1.74/1.84 apply (zenon_L489_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L185_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L27_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L904_); trivial.
% 1.74/1.84 apply (zenon_L1646_); trivial.
% 1.74/1.84 apply (zenon_L1647_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L483_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.84 apply (zenon_L76_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.84 apply (zenon_L507_); trivial.
% 1.74/1.84 apply (zenon_L1646_); trivial.
% 1.74/1.84 apply (zenon_L488_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L472_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.84 apply (zenon_L1072_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.84 apply (zenon_L1650_); trivial.
% 1.74/1.84 apply (zenon_L120_); trivial.
% 1.74/1.84 apply (zenon_L1577_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L492_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L1651_); trivial.
% 1.74/1.84 apply (zenon_L491_); trivial.
% 1.74/1.84 apply (zenon_L1578_); trivial.
% 1.74/1.84 apply (zenon_L450_); trivial.
% 1.74/1.84 apply (zenon_L495_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L501_); trivial.
% 1.74/1.84 apply (zenon_L585_); trivial.
% 1.74/1.84 apply (zenon_L1644_); trivial.
% 1.74/1.84 apply (zenon_L241_); trivial.
% 1.74/1.84 apply (zenon_L514_); trivial.
% 1.74/1.84 apply (zenon_L515_); trivial.
% 1.74/1.84 apply (zenon_L1166_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1653_); trivial.
% 1.74/1.84 apply (zenon_L1640_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L519_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_L525_); trivial.
% 1.74/1.84 apply (zenon_L1643_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_L519_); trivial.
% 1.74/1.84 apply (zenon_L1654_); trivial.
% 1.74/1.84 apply (zenon_L534_); trivial.
% 1.74/1.84 apply (zenon_L548_); trivial.
% 1.74/1.84 apply (zenon_L557_); trivial.
% 1.74/1.84 apply (zenon_L292_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L294_); trivial.
% 1.74/1.84 apply (zenon_L423_); trivial.
% 1.74/1.84 apply (zenon_L1643_); trivial.
% 1.74/1.84 apply (zenon_L1640_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.84 apply (zenon_L132_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.84 apply (zenon_L418_); trivial.
% 1.74/1.84 apply (zenon_L1655_); trivial.
% 1.74/1.84 apply (zenon_L1635_); trivial.
% 1.74/1.84 apply (zenon_L1652_); trivial.
% 1.74/1.84 apply (zenon_L1640_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1645_); trivial.
% 1.74/1.84 apply (zenon_L572_); trivial.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.84 apply (zenon_L1616_); trivial.
% 1.74/1.85 apply (zenon_L572_); trivial.
% 1.74/1.85 apply (zenon_L577_); trivial.
% 1.74/1.85 apply (zenon_L599_); trivial.
% 1.74/1.85 apply (zenon_L292_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1653_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L604_); trivial.
% 1.74/1.85 apply (zenon_L1639_); trivial.
% 1.74/1.85 apply (zenon_L533_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1660_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1662_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ].
% 1.74/1.85 apply (zenon_L561_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.85 apply (zenon_L1658_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1207_); trivial.
% 1.74/1.85 apply (zenon_L1184_); trivial.
% 1.74/1.85 apply (zenon_L215_); trivial.
% 1.74/1.85 apply (zenon_L1664_); trivial.
% 1.74/1.85 apply (zenon_L627_); trivial.
% 1.74/1.85 apply (zenon_L628_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1630_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1082_); trivial.
% 1.74/1.85 apply (zenon_L533_); trivial.
% 1.74/1.85 apply (zenon_L1085_); trivial.
% 1.74/1.85 apply (zenon_L1632_); trivial.
% 1.74/1.85 apply (zenon_L292_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1668_); trivial.
% 1.74/1.85 apply (zenon_L1672_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_L1672_); trivial.
% 1.74/1.85 apply (zenon_L1673_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_L646_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1668_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1679_); trivial.
% 1.74/1.85 apply (zenon_L1680_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_L1682_); trivial.
% 1.74/1.85 apply (zenon_L1673_); trivial.
% 1.74/1.85 apply (zenon_L292_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L1687_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_L1694_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L1687_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_L1696_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L652_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L1698_); trivial.
% 1.74/1.85 apply (zenon_L1700_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1708_); trivial.
% 1.74/1.85 apply (zenon_L722_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1708_); trivial.
% 1.74/1.85 apply (zenon_L1509_); trivial.
% 1.74/1.85 apply (zenon_L738_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1711_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L757_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L1565_); trivial.
% 1.74/1.85 apply (zenon_L720_); trivial.
% 1.74/1.85 apply (zenon_L768_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L276_); trivial.
% 1.74/1.85 apply (zenon_L1716_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_L171_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1711_); trivial.
% 1.74/1.85 apply (zenon_L849_); trivial.
% 1.74/1.85 apply (zenon_L777_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1718_); trivial.
% 1.74/1.85 apply (zenon_L722_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1718_); trivial.
% 1.74/1.85 apply (zenon_L1509_); trivial.
% 1.74/1.85 apply (zenon_L738_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1721_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L800_); trivial.
% 1.74/1.85 apply (zenon_L1723_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1724_); trivial.
% 1.74/1.85 apply (zenon_L1723_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1726_); trivial.
% 1.74/1.85 apply (zenon_L1730_); trivial.
% 1.74/1.85 apply (zenon_L830_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L838_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L799_); trivial.
% 1.74/1.85 apply (zenon_L215_); trivial.
% 1.74/1.85 apply (zenon_L836_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1713_); trivial.
% 1.74/1.85 apply (zenon_L1731_); trivial.
% 1.74/1.85 apply (zenon_L836_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1728_); trivial.
% 1.74/1.85 apply (zenon_L1732_); trivial.
% 1.74/1.85 apply (zenon_L1734_); trivial.
% 1.74/1.85 apply (zenon_L1730_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1024_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.85 apply (zenon_L819_); trivial.
% 1.74/1.85 apply (zenon_L170_); trivial.
% 1.74/1.85 apply (zenon_L255_); trivial.
% 1.74/1.85 apply (zenon_L215_); trivial.
% 1.74/1.85 apply (zenon_L827_); trivial.
% 1.74/1.85 apply (zenon_L1735_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_L850_); trivial.
% 1.74/1.85 apply (zenon_L777_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_L1737_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_L1736_); trivial.
% 1.74/1.85 apply (zenon_L863_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1743_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L902_); trivial.
% 1.74/1.85 apply (zenon_L1745_); trivial.
% 1.74/1.85 apply (zenon_L915_); trivial.
% 1.74/1.85 apply (zenon_L918_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L927_); trivial.
% 1.74/1.85 apply (zenon_L1750_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L895_); trivial.
% 1.74/1.85 apply (zenon_L1753_); trivial.
% 1.74/1.85 apply (zenon_L255_); trivial.
% 1.74/1.85 apply (zenon_L215_); trivial.
% 1.74/1.85 apply (zenon_L1750_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L929_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1749_); trivial.
% 1.74/1.85 apply (zenon_L1754_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L931_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1755_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L907_); trivial.
% 1.74/1.85 apply (zenon_L1756_); trivial.
% 1.74/1.85 apply (zenon_L912_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L939_); trivial.
% 1.74/1.85 apply (zenon_L1757_); trivial.
% 1.74/1.85 apply (zenon_L878_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L732_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L930_); trivial.
% 1.74/1.85 apply (zenon_L940_); trivial.
% 1.74/1.85 apply (zenon_L1757_); trivial.
% 1.74/1.85 apply (zenon_L1754_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1743_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L942_); trivial.
% 1.74/1.85 apply (zenon_L1763_); trivial.
% 1.74/1.85 apply (zenon_L241_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L949_); trivial.
% 1.74/1.85 apply (zenon_L847_); trivial.
% 1.74/1.85 apply (zenon_L1766_); trivial.
% 1.74/1.85 apply (zenon_L1762_); trivial.
% 1.74/1.85 apply (zenon_L1763_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1770_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1773_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L919_); trivial.
% 1.74/1.85 apply (zenon_L941_); trivial.
% 1.74/1.85 apply (zenon_L1776_); trivial.
% 1.74/1.85 apply (zenon_L241_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L954_); trivial.
% 1.74/1.85 apply (zenon_L1776_); trivial.
% 1.74/1.85 apply (zenon_L955_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1783_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L967_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L970_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L977_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L973_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L907_); trivial.
% 1.74/1.85 apply (zenon_L1789_); trivial.
% 1.74/1.85 apply (zenon_L912_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L979_); trivial.
% 1.74/1.85 apply (zenon_L1782_); trivial.
% 1.74/1.85 apply (zenon_L1754_); trivial.
% 1.74/1.85 apply (zenon_L751_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1783_); trivial.
% 1.74/1.85 apply (zenon_L1792_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L982_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L993_); trivial.
% 1.74/1.85 apply (zenon_L1745_); trivial.
% 1.74/1.85 apply (zenon_L1795_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L995_); trivial.
% 1.74/1.85 apply (zenon_L911_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L995_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L907_); trivial.
% 1.74/1.85 apply (zenon_L1798_); trivial.
% 1.74/1.85 apply (zenon_L912_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L996_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1798_); trivial.
% 1.74/1.85 apply (zenon_L912_); trivial.
% 1.74/1.85 apply (zenon_L997_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1005_); trivial.
% 1.74/1.85 apply (zenon_L1801_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L895_); trivial.
% 1.74/1.85 apply (zenon_L1802_); trivial.
% 1.74/1.85 apply (zenon_L273_); trivial.
% 1.74/1.85 apply (zenon_L120_); trivial.
% 1.74/1.85 apply (zenon_L255_); trivial.
% 1.74/1.85 apply (zenon_L215_); trivial.
% 1.74/1.85 apply (zenon_L1801_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1006_); trivial.
% 1.74/1.85 apply (zenon_L1803_); trivial.
% 1.74/1.85 apply (zenon_L1754_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1011_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1755_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L907_); trivial.
% 1.74/1.85 apply (zenon_L1804_); trivial.
% 1.74/1.85 apply (zenon_L912_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L995_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1010_); trivial.
% 1.74/1.85 apply (zenon_L1805_); trivial.
% 1.74/1.85 apply (zenon_L878_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1017_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L1008_); trivial.
% 1.74/1.85 apply (zenon_L1016_); trivial.
% 1.74/1.85 apply (zenon_L1805_); trivial.
% 1.74/1.85 apply (zenon_L1754_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L982_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1807_); trivial.
% 1.74/1.85 apply (zenon_L1763_); trivial.
% 1.74/1.85 apply (zenon_L241_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1018_); trivial.
% 1.74/1.85 apply (zenon_L1765_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1018_); trivial.
% 1.74/1.85 apply (zenon_L1761_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L441_); trivial.
% 1.74/1.85 apply (zenon_L1810_); trivial.
% 1.74/1.85 apply (zenon_L1816_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_L1816_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1807_); trivial.
% 1.74/1.85 apply (zenon_L1776_); trivial.
% 1.74/1.85 apply (zenon_L241_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1020_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L441_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L440_); trivial.
% 1.74/1.85 apply (zenon_L1774_); trivial.
% 1.74/1.85 apply (zenon_L1818_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_L1818_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1819_); trivial.
% 1.74/1.85 apply (zenon_L1820_); trivial.
% 1.74/1.85 apply (zenon_L775_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1819_); trivial.
% 1.74/1.85 apply (zenon_L1822_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_L829_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L897_); trivial.
% 1.74/1.85 apply (zenon_L1823_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L897_); trivial.
% 1.74/1.85 apply (zenon_L1267_); trivial.
% 1.74/1.85 apply (zenon_L1282_); trivial.
% 1.74/1.85 apply (zenon_L1820_); trivial.
% 1.74/1.85 apply (zenon_L775_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1821_); trivial.
% 1.74/1.85 apply (zenon_L1824_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1821_); trivial.
% 1.74/1.85 apply (zenon_L1825_); trivial.
% 1.74/1.85 apply (zenon_L1282_); trivial.
% 1.74/1.85 apply (zenon_L1822_); trivial.
% 1.74/1.85 apply (zenon_L1025_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1826_); trivial.
% 1.74/1.85 apply (zenon_L1827_); trivial.
% 1.74/1.85 apply (zenon_L627_); trivial.
% 1.74/1.85 apply (zenon_L628_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1826_); trivial.
% 1.74/1.85 apply (zenon_L1615_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_L1828_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L494_); trivial.
% 1.74/1.85 apply (zenon_L1828_); trivial.
% 1.74/1.85 apply (zenon_L1792_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1829_); trivial.
% 1.74/1.85 apply (zenon_L1037_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1830_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_L1831_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1830_); trivial.
% 1.74/1.85 apply (zenon_L1832_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_L646_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1829_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L1027_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.85 apply (zenon_L1833_); trivial.
% 1.74/1.85 apply (zenon_L1035_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1834_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1841_); trivial.
% 1.74/1.85 apply (zenon_L1843_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1829_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L1027_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.85 apply (zenon_L1052_); trivial.
% 1.74/1.85 apply (zenon_L1846_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1834_); trivial.
% 1.74/1.85 apply (zenon_L1832_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1847_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L1694_); trivial.
% 1.74/1.85 apply (zenon_L860_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1855_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1856_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L860_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1840_); trivial.
% 1.74/1.85 apply (zenon_L1857_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1691_); trivial.
% 1.74/1.85 apply (zenon_L1857_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L860_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1826_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L1698_); trivial.
% 1.74/1.85 apply (zenon_L1700_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H381.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2b4. zenon_intro zenon_H382.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2b5. zenon_intro zenon_H2b6.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.85 apply (zenon_L1090_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1859_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1119_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1171_); trivial.
% 1.74/1.85 apply (zenon_L1861_); trivial.
% 1.74/1.85 apply (zenon_L1125_); trivial.
% 1.74/1.85 apply (zenon_L1141_); trivial.
% 1.74/1.85 apply (zenon_L1298_); trivial.
% 1.74/1.85 apply (zenon_L1142_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ].
% 1.74/1.85 apply (zenon_L1145_); trivial.
% 1.74/1.85 apply (zenon_L1864_); trivial.
% 1.74/1.85 apply (zenon_L500_); trivial.
% 1.74/1.85 apply (zenon_L1865_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1215_); trivial.
% 1.74/1.85 apply (zenon_L1861_); trivial.
% 1.74/1.85 apply (zenon_L241_); trivial.
% 1.74/1.85 apply (zenon_L1162_); trivial.
% 1.74/1.85 apply (zenon_L1298_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1223_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1143_); trivial.
% 1.74/1.85 apply (zenon_L139_); trivial.
% 1.74/1.85 apply (zenon_L170_); trivial.
% 1.74/1.85 apply (zenon_L513_); trivial.
% 1.74/1.85 apply (zenon_L292_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1859_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1170_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1866_); trivial.
% 1.74/1.85 apply (zenon_L1861_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1211_); trivial.
% 1.74/1.85 apply (zenon_L1867_); trivial.
% 1.74/1.85 apply (zenon_L1868_); trivial.
% 1.74/1.85 apply (zenon_L1298_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1869_); trivial.
% 1.74/1.85 apply (zenon_L1169_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1866_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1201_); trivial.
% 1.74/1.85 apply (zenon_L1870_); trivial.
% 1.74/1.85 apply (zenon_L1173_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1140_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L216_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1870_); trivial.
% 1.74/1.85 apply (zenon_L1868_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L26_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.85 apply (zenon_L225_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.85 apply (zenon_L1554_); trivial.
% 1.74/1.85 apply (zenon_L1871_); trivial.
% 1.74/1.85 apply (zenon_L1132_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1873_); trivial.
% 1.74/1.85 apply (zenon_L1132_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1877_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L655_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L654_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L155_); trivial.
% 1.74/1.85 apply (zenon_L1878_); trivial.
% 1.74/1.85 apply (zenon_L555_); trivial.
% 1.74/1.85 apply (zenon_L1132_); trivial.
% 1.74/1.85 apply (zenon_L1879_); trivial.
% 1.74/1.85 apply (zenon_L292_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_L1882_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_L1888_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1235_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1891_); trivial.
% 1.74/1.85 apply (zenon_L1894_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1100_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L676_); trivial.
% 1.74/1.85 apply (zenon_L706_); trivial.
% 1.74/1.85 apply (zenon_L1899_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1900_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1902_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1283_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1249_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.74/1.85 apply (zenon_L823_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.74/1.85 apply (zenon_L1897_); trivial.
% 1.74/1.85 exact (zenon_H5 zenon_H6).
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1910_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1913_); trivial.
% 1.74/1.85 apply (zenon_L1240_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1900_); trivial.
% 1.74/1.85 apply (zenon_L1914_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1916_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1895_); trivial.
% 1.74/1.85 apply (zenon_L1917_); trivial.
% 1.74/1.85 apply (zenon_L1924_); trivial.
% 1.74/1.85 apply (zenon_L1926_); trivial.
% 1.74/1.85 apply (zenon_L1927_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1913_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1895_); trivial.
% 1.74/1.85 apply (zenon_L1929_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1902_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1895_); trivial.
% 1.74/1.85 apply (zenon_L1931_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1900_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L475_); trivial.
% 1.74/1.85 apply (zenon_L1901_); trivial.
% 1.74/1.85 apply (zenon_L1932_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_L1248_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1235_); trivial.
% 1.74/1.85 apply (zenon_L1933_); trivial.
% 1.74/1.85 apply (zenon_L1934_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1910_); trivial.
% 1.74/1.85 apply (zenon_L1934_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1936_); trivial.
% 1.74/1.85 apply (zenon_L1934_); trivial.
% 1.74/1.85 apply (zenon_L1257_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1235_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1937_); trivial.
% 1.74/1.85 apply (zenon_L1894_); trivial.
% 1.74/1.85 apply (zenon_L1938_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1946_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1947_); trivial.
% 1.74/1.85 apply (zenon_L1951_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1910_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1952_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1947_); trivial.
% 1.74/1.85 apply (zenon_L1954_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1919_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1922_); trivial.
% 1.74/1.85 apply (zenon_L1955_); trivial.
% 1.74/1.85 apply (zenon_L1924_); trivial.
% 1.74/1.85 apply (zenon_L1926_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1941_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1949_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1940_); trivial.
% 1.74/1.85 apply (zenon_L1931_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1947_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1949_); trivial.
% 1.74/1.85 apply (zenon_L1932_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_L1262_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1251_); trivial.
% 1.74/1.85 apply (zenon_L1958_); trivial.
% 1.74/1.85 apply (zenon_L1938_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1959_); trivial.
% 1.74/1.85 apply (zenon_L1250_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1961_); trivial.
% 1.74/1.85 apply (zenon_L1964_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L1961_); trivial.
% 1.74/1.85 apply (zenon_L1909_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1965_); trivial.
% 1.74/1.85 apply (zenon_L1240_); trivial.
% 1.74/1.85 apply (zenon_L1967_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1936_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1965_); trivial.
% 1.74/1.85 apply (zenon_L555_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1966_); trivial.
% 1.74/1.85 apply (zenon_L555_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L1246_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.85 apply (zenon_L1156_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L63_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L676_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.85 apply (zenon_L372_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.85 apply (zenon_L94_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.85 apply (zenon_L1554_); trivial.
% 1.74/1.85 apply (zenon_L1969_); trivial.
% 1.74/1.85 apply (zenon_L733_); trivial.
% 1.74/1.85 apply (zenon_L1245_); trivial.
% 1.74/1.85 apply (zenon_L1970_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L776_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1100_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L676_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ].
% 1.74/1.85 apply (zenon_L372_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ].
% 1.74/1.85 apply (zenon_L735_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.85 apply (zenon_L1971_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.85 apply (zenon_L1554_); trivial.
% 1.74/1.85 apply (zenon_L1969_); trivial.
% 1.74/1.85 exact (zenon_H5 zenon_H6).
% 1.74/1.85 apply (zenon_L736_); trivial.
% 1.74/1.85 apply (zenon_L1970_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L1246_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ].
% 1.74/1.85 apply (zenon_L1156_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1100_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L1975_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ].
% 1.74/1.85 apply (zenon_L94_); trivial.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ].
% 1.74/1.85 apply (zenon_L1554_); trivial.
% 1.74/1.85 apply (zenon_L1871_); trivial.
% 1.74/1.85 apply (zenon_L733_); trivial.
% 1.74/1.85 apply (zenon_L1978_); trivial.
% 1.74/1.85 apply (zenon_L1130_); trivial.
% 1.74/1.85 apply (zenon_L1970_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L776_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1965_); trivial.
% 1.74/1.85 apply (zenon_L736_); trivial.
% 1.74/1.85 apply (zenon_L1970_); trivial.
% 1.74/1.85 apply (zenon_L1256_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_L1737_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_L1736_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_L397_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L409_); trivial.
% 1.74/1.85 apply (zenon_L1979_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1981_); trivial.
% 1.74/1.85 apply (zenon_L408_); trivial.
% 1.74/1.85 apply (zenon_L1985_); trivial.
% 1.74/1.85 apply (zenon_L1986_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1275_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L905_); trivial.
% 1.74/1.85 apply (zenon_L1860_); trivial.
% 1.74/1.85 apply (zenon_L1987_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1278_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L905_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1273_); trivial.
% 1.74/1.85 apply (zenon_L1988_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1285_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L905_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1283_); trivial.
% 1.74/1.85 apply (zenon_L1988_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1272_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1989_); trivial.
% 1.74/1.85 apply (zenon_L1990_); trivial.
% 1.74/1.85 apply (zenon_L1992_); trivial.
% 1.74/1.85 apply (zenon_L1987_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1993_); trivial.
% 1.74/1.85 apply (zenon_L1990_); trivial.
% 1.74/1.85 apply (zenon_L1992_); trivial.
% 1.74/1.85 apply (zenon_L1994_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_L1298_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1989_); trivial.
% 1.74/1.85 apply (zenon_L1995_); trivial.
% 1.74/1.85 apply (zenon_L1997_); trivial.
% 1.74/1.85 apply (zenon_L1998_); trivial.
% 1.74/1.85 apply (zenon_L1999_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_L1279_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1280_); trivial.
% 1.74/1.85 apply (zenon_L1274_); trivial.
% 1.74/1.85 apply (zenon_L1282_); trivial.
% 1.74/1.85 apply (zenon_L1987_); trivial.
% 1.74/1.85 apply (zenon_L1261_); trivial.
% 1.74/1.85 apply (zenon_L1287_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_L2000_); trivial.
% 1.74/1.85 apply (zenon_L2001_); trivial.
% 1.74/1.85 apply (zenon_L1298_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L2003_); trivial.
% 1.74/1.85 apply (zenon_L1290_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L867_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L2003_); trivial.
% 1.74/1.85 apply (zenon_L1132_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1877_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L1790_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L2006_); trivial.
% 1.74/1.85 apply (zenon_L1827_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ].
% 1.74/1.85 apply (zenon_L1790_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L2006_); trivial.
% 1.74/1.85 apply (zenon_L1132_); trivial.
% 1.74/1.85 apply (zenon_L1879_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1288_); trivial.
% 1.74/1.85 apply (zenon_L1274_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1288_); trivial.
% 1.74/1.85 apply (zenon_L1860_); trivial.
% 1.74/1.85 apply (zenon_L1987_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1288_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1273_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1249_); trivial.
% 1.74/1.85 apply (zenon_L1002_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1288_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1273_); trivial.
% 1.74/1.85 apply (zenon_L2008_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1285_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L943_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1283_); trivial.
% 1.74/1.85 apply (zenon_L2008_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1291_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_L2009_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1285_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L905_); trivial.
% 1.74/1.85 apply (zenon_L1925_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1288_); trivial.
% 1.74/1.85 apply (zenon_L1995_); trivial.
% 1.74/1.85 apply (zenon_L1997_); trivial.
% 1.74/1.85 apply (zenon_L1998_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1296_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L2011_); trivial.
% 1.74/1.85 apply (zenon_L1240_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_L1192_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L2017_); trivial.
% 1.74/1.85 apply (zenon_L1240_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_L1192_); trivial.
% 1.74/1.85 apply (zenon_L2018_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_L1882_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_L646_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1880_); trivial.
% 1.74/1.85 apply (zenon_L1226_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L2019_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1678_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 1.74/1.85 apply (zenon_L1100_); trivial.
% 1.74/1.85 apply (zenon_L1839_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1678_); trivial.
% 1.74/1.85 apply (zenon_L1195_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1693_); trivial.
% 1.74/1.85 apply (zenon_L1179_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L493_); trivial.
% 1.74/1.85 apply (zenon_L2020_); trivial.
% 1.74/1.85 apply (zenon_L1887_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H383.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2cd. zenon_intro zenon_H384.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H2cb. zenon_intro zenon_H2cc.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1338_); trivial.
% 1.74/1.85 apply (zenon_L2032_); trivial.
% 1.74/1.85 apply (zenon_L1367_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L1380_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L1373_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1375_); trivial.
% 1.74/1.85 apply (zenon_L2034_); trivial.
% 1.74/1.85 apply (zenon_L2037_); trivial.
% 1.74/1.85 apply (zenon_L1399_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_L1736_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1685_); trivial.
% 1.74/1.85 apply (zenon_L408_); trivial.
% 1.74/1.85 apply (zenon_L2038_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1434_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1435_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_L2041_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_L1436_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ].
% 1.74/1.85 apply (zenon_L904_); trivial.
% 1.74/1.85 apply (zenon_L2027_); trivial.
% 1.74/1.85 apply (zenon_L2029_); trivial.
% 1.74/1.85 apply (zenon_L1337_); trivial.
% 1.74/1.85 apply (zenon_L1432_); trivial.
% 1.74/1.85 apply (zenon_L2050_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1454_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L2053_); trivial.
% 1.74/1.85 apply (zenon_L2054_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_L2058_); trivial.
% 1.74/1.85 apply (zenon_L2054_); trivial.
% 1.74/1.85 apply (zenon_L1393_); trivial.
% 1.74/1.85 apply (zenon_L2065_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_L2066_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1432_); trivial.
% 1.74/1.85 apply (zenon_L2067_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_L1453_); trivial.
% 1.74/1.85 apply (zenon_L2068_); trivial.
% 1.74/1.85 apply (zenon_L2069_); trivial.
% 1.74/1.85 apply (zenon_L2038_); trivial.
% 1.74/1.85 apply (zenon_L1633_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1505_); trivial.
% 1.74/1.85 apply (zenon_L2074_); trivial.
% 1.74/1.85 apply (zenon_L1519_); trivial.
% 1.74/1.85 apply (zenon_L1520_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1502_); trivial.
% 1.74/1.85 apply (zenon_L2077_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1511_); trivial.
% 1.74/1.85 apply (zenon_L1504_); trivial.
% 1.74/1.85 apply (zenon_L2067_); trivial.
% 1.74/1.85 apply (zenon_L1519_); trivial.
% 1.74/1.85 apply (zenon_L646_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1544_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1502_); trivial.
% 1.74/1.85 apply (zenon_L2081_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1511_); trivial.
% 1.74/1.85 apply (zenon_L1504_); trivial.
% 1.74/1.85 apply (zenon_L2067_); trivial.
% 1.74/1.85 apply (zenon_L1519_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1544_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ].
% 1.74/1.85 apply (zenon_L1513_); trivial.
% 1.74/1.85 apply (zenon_L1540_); trivial.
% 1.74/1.85 apply (zenon_L1511_); trivial.
% 1.74/1.85 apply (zenon_L2084_); trivial.
% 1.74/1.85 apply (zenon_L2086_); trivial.
% 1.74/1.85 apply (zenon_L1519_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_L1522_); trivial.
% 1.74/1.85 apply (zenon_L2074_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_L1515_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L1667_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1829_); trivial.
% 1.74/1.85 apply (zenon_L2077_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1511_); trivial.
% 1.74/1.85 apply (zenon_L2067_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_L646_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L644_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ].
% 1.74/1.85 apply (zenon_L2091_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ].
% 1.74/1.85 apply (zenon_L1829_); trivial.
% 1.74/1.85 apply (zenon_L2081_); trivial.
% 1.74/1.85 apply (zenon_L1671_); trivial.
% 1.74/1.85 apply (zenon_L1419_); trivial.
% 1.74/1.85 apply (zenon_L1511_); trivial.
% 1.74/1.85 apply (zenon_L2093_); trivial.
% 1.74/1.85 apply (zenon_L2067_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b.
% 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4.
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ].
% 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ].
% 1.74/1.85 apply (zenon_L1544_); trivial.
% 1.74/1.85 apply (zenon_L2096_); trivial.
% 1.74/1.85 apply (zenon_L2086_); trivial.
% 1.74/1.85 apply (zenon_L1779_); trivial.
% 1.74/1.85 Qed.
% 1.74/1.85 % SZS output end Proof
% 1.74/1.85 (* END-PROOF *)
% 1.74/1.85 nodes searched: 63555
% 1.74/1.85 max branch formulas: 448
% 1.74/1.85 proof nodes created: 13442
% 1.74/1.85 formulas created: 47574
% 1.74/1.85
%------------------------------------------------------------------------------